{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Simple Setup","Offset & Differential","ServoPlus","PropStuff","RCCD_All_Star"],"not_rendered":{"charts":20,"images":0,"macros":1,"external_links":0,"defined_names":20,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Simple Setup","index":0,"n_rows":36,"n_cols":27,"rows_kept":36,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,null,null,null,"Maximum airspeed (mi/hr)",85,null,null,null,"Servo Torque Required for Various Intermediate Surface Deflections",null,null,null,null,null,null,null,null,null,null,null,"This spreadsheet predicts required servo torques using the following assumptions:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Airspeed (mi/hr):",{"$f":"T3-0.125*$Y$3","v":21.25},31.875,42.5,53.125,63.75,74.375,{"$f":"$K$2","v":85},null,"1 The angle of attack of the wing, stab, or fuse is zero (relative to the airflow).*"]
[null,null,null,null,null,null,null,null,null,null,"Aileron(s)","Elevator(s)","Rudder",null,null,"Surface","Servo",null,null,null,null,null,null,null,null,null,"2 Angular velocity and acceleration of the aircraft is zero."]
[null,null,null,null,null,null,null,null,null,"Average control surface chord (cm)",{"$f":"RCCD_All_Star!B3*2.54","v":4.4450000000000003},{"$f":"RCCD_All_Star!C3*2.54","v":6.35},{"$f":"RCCD_All_Star!D3*2.54","v":7.62},null,null,"Angle","Angle",null,"Required Servo Torque (oz-in)",null,null,null,null,null,null,null,"3 Air flow may be modelled using the concept of dynamic pressure."]
[null,null,null,null,null,null,null,null,null,"Average control surface length (cm)",{"$f":"RCCD_All_Star!B4*2.54","v":83.820000000000007},{"$f":"RCCD_All_Star!C4*2.54","v":55.88},{"$f":"RCCD_All_Star!D4*2.54","v":25.4},null,"Aileron(s)",{"$f":"$K$9","v":25},{"$f":"ASIN(SIN($P6*PI()/180)*SIN($K$8*PI()/180)/SIN($K$9*PI()/180))*180/PI()","v":35},null,{"$f":"1.7*10^-5*$K$5^2*$K$6*S$3^2*TAN($P6*PI()/180)*SIN($P6*PI()/180)/TAN($Q6*PI()/180)/2","v":1.7890480584200361},4.0253581314450813,7.1561922336801445,11.181550365125227,16.101432525780325,21.915838715645442,28.624768934720578,null,"4 Conditions are:  sea level, zero humidity, moderate (~55 F) temperature."]
[null,null,null,null,null,null,null,null,null,"Optional:  Maximum available servo torque (oz-in)",69,69,120,null,null,{"$f":"P6-0.15*$P$6","v":21.25},29.465539031527076,null,1.5857823834284666,3.5680103627140496,6.3431295337138662,9.9111398964279172,14.272041450856198,19.425834196998718,25.372518134855465,null,"5 Control linkages have zero offset at hingeline and are perpendicular to horns at neutral.**"]
[null,null,null,null,null,null,null,null,null,"Maximum deflection of servo arm from center (degrees)",35,35,50,null,null,17.5,24.086611918329176,null,1.3481695509324296,3.0333814895979669,5.3926782037297185,8.4260596933276855,12.133525958391868,16.515076998922265,21.570712814918874,null,"6 Control mechanisms are frictionless and surfaces are mass-balanced."]
[null,null,null,null,null,null,null,null,null,"Maximum deflection of control surface from center (degrees)",25,25,35,null,null,13.75,18.81942940296771,null,1.0848135030369643,2.4408303818331691,4.3392540121478573,6.7800843939810269,9.7633215273326766,13.288965412202813,17.357016048591429,null,"7 The wing, stab, fuse, and control surfaces are thin, flat slabs."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,13.631407243516309,null,0.80259211292617627,1.805832254083896,3.2103684517047051,5.0162007057886004,7.2233290163355841,9.8317533833456565,12.84147380681882,null,"8 No aerodynamic counterbalances are used.  (Account for these manually, if desired.)"]
[null,null,null,null,null,null,null,null,null,"Maximum required torque at maximum airspeed (oz-in)",{"$f":"MAX(Y6:Y12)","v":28.624768934720578},{"$f":"MAX(Y13:Y19)","v":38.945263856762679},{"$f":"MAX(Y20:Y26)","v":30.523339690895135},null,null,6.25,8.4967810838025226,null,0.50731371138995629,1.1414558506274017,2.0292548455598252,3.1707106961872267,4.5658234025096069,6.2145929645269646,8.1170193822393006,null,"9 The pushrods are significantly longer than the servo and control horns.*"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5,3.3939015324331203,null,0.20413416067303525,0.45930186151432928,0.81653664269214099,1.2758385042064704,1.8372074460573171,2.5006434682446819,3.266146570768564,null,"* This assumption dropped in \"ServoPlus\" worksheet."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Elevator(s)",{"$f":"$L$9","v":25},{"$f":"ASIN(SIN($P13*PI()/180)*SIN($L$8*PI()/180)/SIN($L$9*PI()/180))*180/PI()","v":35},null,{"$f":"1.7*10^-5*$L$5^2*$L$6*S$3^2*TAN($P13*PI()/180)*SIN($P13*PI()/180)/TAN($Q13*PI()/180)/2","v":2.4340789910476675},5.4766777298572515,9.7363159641906698,15.21299369404792,21.906710919429006,29.817467640333923,38.945263856762679,null,"** This assumption dropped in \"Offset & Differential\" and \"ServoPlus\" worksheets."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P13-0.15*$P$13","v":21.25},29.465539031527076,null,2.1575270522836272,4.8544358676381609,8.6301082091345087,13.48454407677267,19.417743470552644,26.429706390474433,34.520432836538035]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17.5,24.086611918329176,null,1.8342442869828965,4.1270496457115167,7.3369771479315862,11.464026793643102,16.508198582846067,22.469492515540484,29.347908591726345,null,"Please note:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.75,18.81942940296771,null,1.4759367388258009,3.3208576623580521,5.9037469553032036,9.2246046176612566,13.283430649432209,18.080225050616061,23.614987821212814,null,"The calculations are completely theoretical.  No empirical \"tweaking\" has been done."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,13.631407243516309,null,1.0919620584029601,2.4569146314066601,4.3678482336118405,6.824762865018501,9.8276585256266404,13.376535215436261,17.471392934447362,null,"The assumptions (except #6) should generally yield conservative (high) predicted torques."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.25,8.4967810838025226,null,0.69022273658497413,1.5530011573161917,2.7608909463398965,4.3138921036560891,6.2120046292647668,8.4552285231659337,11.043563785359586,null,"Extreme control throws are probably not practical at high speeds."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5,3.3939015324331203,null,0.27773355193610227,0.62490049185622998,1.1109342077444091,1.7358346996006389,2.4996019674249199,3.4022360112172527,4.4437368309776364,null,"This model is best used for comparisons.  No guarantees are made of its validity."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rudder",{"$f":"$M$9","v":35},{"$f":"ASIN(SIN($P20*PI()/180)*SIN($M$8*PI()/180)/SIN($M$9*PI()/180))*180/PI()","v":49.999999999999993},null,{"$f":"1.7*10^-5*$M$5^2*$M$6*S$3^2*TAN($P20*PI()/180)*SIN($P20*PI()/180)/TAN($Q20*PI()/180)/2","v":1.9077087306809459},4.292344644032128,7.6308349227237837,11.923179566755913,17.169378576128512,23.369431950841591,30.523339690895135,null,"Maximum required servo torque may occur at LESS than maximum throw."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P20-0.15*$P$20","v":29.75},41.508089621620798,null,1.8141437184461888,4.0818233665039241,7.2565748737847553,11.338398240288679,16.327293466015696,22.223260550965808,29.026299495139021]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.5,33.631319549729028,null,1.6083033094439083,3.6186824462487945,6.4332132377756333,10.051895684024428,14.474729784995178,19.701715540687879,25.732852951102533,null,"The mathematical model:    t = (AMPC2LV2) / (4RT)      where"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.25,26.124356950275221,null,1.3289561298781969,2.9901512922259434,5.3158245195127876,8.3059758117387297,11.960605168903774,16.279712591007911,21.26329807805115,null,"t = servo torque"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,18.850543548584479,null,1.0001090001723068,2.2502452503876902,4.000436000689227,6.2506812510769176,9.0009810015507608,12.251335252110758,16.001744002756908,null,"A = sin(S) * tan(S) / tan(s)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.75,11.722368027105048,null,0.63876972448605418,1.4372318800936219,2.5550788979442167,3.9923107780378384,5.7489275203744876,7.8249291249541617,10.220315591776867,null,"S = control surface angle from neutral"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.5,4.6767368644501346,null,0.25837798462255213,0.5813504654007422,1.0335119384902085,1.6148624038909507,2.3254018616029688,3.1651303116262626,4.134047753960834,null,"s = servo arm angle from neutral"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"stalled servo:  required torque exceeds available torque",null,null,null,null,null,null,null,null,null,null,null,"M = molecular weight of air (~28.6 g/mol)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P = air pressure (1 atm)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"C = average chord length of control surface"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L = average length of control surface"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"V = airspeed"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"T = air temperature (~290 K)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"R = ideal gas constant (82.056 atm cm3 / mol K)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Feel free to share this spreadsheet and model with other individuals for nonprofit use."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Just be sure to give proper credit to its creator."]

{"sheet":"Offset & Differential","index":1,"n_rows":42,"n_cols":52,"rows_kept":42,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,"Maximum airspeed (mi/hr)",80,null,null,null,null,null,null,null,"Servo Torque Required for Up/Right (+) Surface Deflections",null,null,null,null,null,null,null,null,null,null,null,"Servo Torque Required for Down/Left (-) Surface Deflections",null,null,null,null,null,null,null,null,null,null,null,"Data for Control Geometry Plots",null,null,null,null,null,null,null,"Data for Control Deflection Plots"]
[null,null,null,null,null,null,null,"Aileron(s)","Elevator(s)","Rudder",null,null,null,null,null,null,null,null,"Airspeed (mi/hr):",{"$f":"U3-0.1*$AL$3","v":32},40,48,56,64,72,{"$f":"$H$2","v":80},null,null,null,null,"Airspeed (mi/hr):",{"$f":"AG3-0.1*$AL$3","v":32},40,48,56,64,72,{"$f":"$H$2","v":80},null,null,"HLx","HLy","P","Hc","L",null,null,null,"Pos","Pos","Neg","Neg"]
[null,null,null,null,null,null,"Average control surface chord (cm)",7,13,18,null,null,null,null,null,null,"Surface","Servo",null,null,null,null,null,null,null,null,null,null,"Surface","Servo",null,null,null,null,null,null,null,null,null,null,14,7,10,2.5,5,null,null,null,"TE def.","Servo","TE def.","Servo"]
[null,null,null,null,null,null,"Average control surface length (cm)",75,30,35,null,null,null,null,null,null,"Angle","Angle",null,"Required Servo Torque (oz-in)",null,null,null,null,null,null,null,null,"Angle","Angle",null,"Required Servo Torque (oz-in)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(cm)","(%)","(cm)","(%)"]
[null,null,null,null,null,null,"Optional:  Maximum available servo torque (oz-in)",30,60,110,null,null,null,null,null,"Aileron(s)",{"$f":"$H$9","v":25},{"$f":"-$H$17+DEGREES(ASIN((SIN(RADIANS(90-$H$16+Q6))-SIN(RADIANS(90-$H$16)))/((SIN(RADIANS(90-$H$16+$H$9))-SIN(RADIANS(90-$H$16)))/(SIN(RADIANS($H$17+$H$7-90))-SIN(RADIANS($H$17-90))))+SIN(RADIANS($H$17-90))))+90","v":60.000000000000007},null,{"$f":"0.0000085*($H$4^2*$H$5*T$3^2*SIN(RADIANS($Q6))*(COS(RADIANS($H$17+$R6-90))/COS(RADIANS(90-$H$16+$Q6)))*(SIN(RADIANS(90-$H$16+$Q6))-SIN(RADIANS(90-$H$16)))/(SIN(RADIANS($H$17+$R6-90))-SIN(RADIANS($H$17-90))))","v":4.4202499349679201},6.9066405233873747,9.9455623536778202,13.537015425839256,17.68099973987168,22.377515295775098,27.626562093549499,null,"Aileron(s)",{"$f":"$H$10","v":15},{"$f":"$H$17-DEGREES(ASIN((SIN(RADIANS(90-$H$16+-AC6))-SIN(RADIANS(90-$H$16)))/((SIN(RADIANS(90-$H$16+$H$9))-SIN(RADIANS(90-$H$16)))/(SIN(RADIANS($H$17+$H$7-90))-SIN(RADIANS($H$17-90))))+SIN(RADIANS($H$17-90))))-90","v":40},null,{"$f":"0.0000085*($H$4^2*$H$5*AF$3^2*SIN(RADIANS($AC6))*(COS(RADIANS($H$17+-$AD6-90))/COS(RADIANS(90-$H$16+-$AC6)))*(SIN(RADIANS(90-$H$16+-$AC6))-SIN(RADIANS(90-$H$16)))/(SIN(RADIANS($H$17+-$AD6-90))-SIN(RADIANS($H$17-90))))","v":2.3608536670038611},3.6888338546935331,5.311920750758687,7.2301143551993245,9.4434146680154445,11.951821689207046,14.755335418774132,null,null,"Ax","Ex","Rx","Ay","Ey","Ry",null,"Ail",{"$f":"$H$4*SIN(RADIANS($Q6))","v":2.9583278321848963},{"$f":"100*$R6/$R$6","v":100},{"$f":"$H$4*SIN(RADIANS($AC6))","v":1.8117333157176452},{"$f":"100*$AD6/$AD$6","v":100}]
[null,null,null,null,null,null,"Maximum up/right (+) rotation of servo arm (degrees)",60,50,60,null,null,null,null,null,null,{"$f":"Q6-0.13*$Q$6","v":21.75},50.731953758379909,null,4.4147300375734284,6.8980156837084827,9.9331425845402173,13.520110740068629,17.658920150293714,22.349570815215486,27.592062734833931,null,null,{"$f":"AC6-0.13*$AC$6","v":13.05},33.575121105384113,null,2.3193664462021744,3.6240100721908974,5.2185745039548923,7.1030597414941594,9.2774657848086974,11.741792633898509,14.49604028876359,null,"Hs",{"$f":"((SIN(RADIANS(90-H16+H9))-SIN(RADIANS(90-H16)))/(SIN(RADIANS(H17+H7-90))-SIN(RADIANS(H17-90))))*$AR$4","v":1.1124642416401189},{"$f":"((SIN(RADIANS(90-I16+I9))-SIN(RADIANS(90-I16)))/(SIN(RADIANS(I17+I7-90))-SIN(RADIANS(I17-90))))*$AR$4","v":1.3792221851318385},{"$f":"((SIN(RADIANS(90-J16+J9))-SIN(RADIANS(90-J16)))/(SIN(RADIANS(J17+J7-90))-SIN(RADIANS(J17-90))))*$AR$4","v":1.3252971850955844},{"$f":"AO7","v":1.1124642416401189},{"$f":"AP7","v":1.3792221851318385},{"$f":"AQ7","v":1.3252971850955844},null,null,2.5939020625688536,84.553256263966503,1.580608868083726,83.937802763460283]
[null,null,null,null,null,null,"Maximum down/left (-) rotation of servo arm (degrees)",{"$f":"100-H7","v":40},50,60,null,null,null,null,null,null,18.5,42.374668629628658,null,4.0985811675047668,6.4040330742261977,9.2218076268857256,12.551904825483346,16.394324670019067,20.749067160492881,25.616132296904791,null,null,11.100000000000001,27.767415980290494,null,2.1540746790566812,3.3657416860260647,4.8466680278775325,6.5968537046110862,8.6162987162267246,10.905003062724447,13.462966744104259,null,"Neutral",null,null,null,null,null,null,null,null,2.2211325948356451,70.624447716047754,1.3476537656813521,69.418539950726228]
[null,null,null,null,null,null,"Maximum up/right (+) rotation of control surface (degrees)",25,25,30,null,null,null,null,null,null,15.25,34.546059098203123,null,3.5776479244555457,5.5900748819617903,8.0497078300249783,10.956546768645106,14.310591697822183,18.111842617556203,22.360299527847161,null,null,9.1500000000000021,22.376223861444089,null,1.8977060687505884,2.9651657324227947,4.269838654688825,5.8117248355486781,7.5908242750023538,9.6071369730498564,11.860662929691179,null,"SC",{"$f":"$AO$4+$AR$4*SIN(RADIANS(H$13-H$16))-$AQ$4*SIN(RADIANS(H$13))+AO$7*COS(RADIANS(-90+H$17+H$13))","v":4.2266671626090924},{"$f":"$AO$4+$AR$4*SIN(RADIANS(I$13-I$16))-$AQ$4*SIN(RADIANS(I$13))+AP$7*COS(RADIANS(-90+I$17+I$13))","v":4.569315304369173},{"$f":"$AO$4+$AR$4*SIN(RADIANS(J$13-J$16))-$AQ$4*SIN(RADIANS(J$13))+AQ$7*COS(RADIANS(-90+J$17+J$13))","v":4.8184576843538132},{"$f":"$AP$4-$AR$4*COS(RADIANS(H$13-H$16))+$AQ$4*COS(RADIANS(H$13))+AR$7*SIN(RADIANS(-90+H$17+H$13))","v":5.5891274885534159},{"$f":"$AP$4-$AR$4*COS(RADIANS(I$13-I$16))+$AQ$4*COS(RADIANS(I$13))+AS$7*SIN(RADIANS(-90+I$17+I$13))","v":3.4935777791277447},{"$f":"$AP$4-$AR$4*COS(RADIANS(J$13-J$16))+$AQ$4*COS(RADIANS(J$13))+AT$7*SIN(RADIANS(-90+J$17+J$13))","v":6.0549264712360165},null,null,1.8412185012058235,57.576765163671865,1.1131378161635495,55.940559653610215]
[null,null,null,null,null,null,"Maximum down/left (-) rotation of control surface (degrees)",15,25,30,null,null,null,null,null,null,12,27.033123351318466,null,2.9185910961665069,4.5602985877601672,6.566829966374641,8.9381852320099284,11.674364384666028,14.775367424342942,18.241194351040669,null,null,7.200000000000002,17.282807437380285,null,1.5721020449143144,2.456409445178616,3.5372296010572075,4.8145625125500882,6.2884081796572575,7.9587666023787165,9.8256377807144641,null,"SA",{"$f":"$AO$4+$AR$4*SIN(RADIANS(H$13-H$16))-$AQ$4*SIN(RADIANS(H$13))","v":4},{"$f":"$AO$4+$AR$4*SIN(RADIANS(I$13-I$16))-$AQ$4*SIN(RADIANS(I$13))","v":4.9033817998308677},{"$f":"$AO$4+$AR$4*SIN(RADIANS(J$13-J$16))-$AQ$4*SIN(RADIANS(J$13))","v":5.1180339887498949},{"$f":"$AP$4-$AR$4*COS(RADIANS(H$13-H$16))+$AQ$4*COS(RADIANS(H$13))","v":4.5000000000000009},{"$f":"$AP$4-$AR$4*COS(RADIANS(I$13-I$16))+$AQ$4*COS(RADIANS(I$13))","v":2.1554247936399924},{"$f":"$AP$4-$AR$4*COS(RADIANS(J$13-J$16))+$AQ$4*COS(RADIANS(J$13))","v":4.7639320225002111},null,null,1.4553818357243153,45.055205585530764,0.87733263495013003,43.207018593450712]
[null,null,null,null,null,null,"Optional: Control horn distance behind hingeline (D in figure, cm)",null,1,2,null,null,null,null,null,null,8.75,19.694906272910174,null,2.1698041713165281,3.3903190176820766,4.8820593854621892,6.6450252746568683,8.6792166852661126,10.984633617289928,13.561276070728306,null,null,5.2500000000000018,12.409456680960503,null,1.193286686079027,1.8645104469984801,2.6848950436778107,3.6544404761170206,4.773146744316108,6.0410138482750746,7.4580417879939205,null,"CA",{"$f":"$AO$4+$AR$4*SIN(RADIANS(H$13-H$16))","v":14},14.606339062590832,15.118033988749895,{"$f":"$AP$4-$AR$4*COS(RADIANS(H$13-H$16))","v":4.5},{"$f":"$AP$4-$AR$4*COS(RADIANS(I$13-I$16))","v":4.5746437496366701},{"$f":"$AP$4-$AR$4*COS(RADIANS(J$13-J$16))","v":4.7639320225002102},null,null,1.0648637033294168,32.824843788183621,0.64051133064381682,31.023641702401257]
[null,null,null,null,null,null,"Optional: Control linkage distance from chordline (H in figure, cm)",null,4,4,null,null,null,null,null,null,5.5,12.42331226909468,null,1.3704707044200715,2.141360475656362,3.0835590849451608,4.1970665322864686,5.4818828176802858,6.9380079411266111,8.565441902625448,null,null,3.3000000000000016,7.7014115833941759,null,0.77384441839511064,1.2091319037423602,1.7411499413889986,2.3698985313350263,3.0953776735804426,3.9175873681252473,4.8365276149694409,null,"CH",14,14.606339062590832,15.118033988749895,{"$f":"$AP$4","v":7},7,7,null,null,0.67092026764156787,20.705520448491132,0.40294818871697113,19.25352895848544]
[null,null,null,null,null,null,"Pushrod to control horn angle (A in figure, default 90 degrees)",90,104,90,null,null,null,null,null,null,2.25,5.1225532979965749,null,0.5555049266587202,0.86797644790424988,1.2498860849821203,1.7012338378923302,2.2220197066348808,2.8122436912097699,3.4719057916169995,null,null,1.3500000000000014,3.1177114559038159,null,0.32419923636839482,0.50656130682561695,0.72944828182888843,0.99286016137820909,1.2967969454735793,1.6412586341149986,2.0262452273024678,null,"HL",{"$f":"$AO$4","v":14},{"$f":"$AO$4","v":14},{"$f":"$AO$4","v":14},7,7,7,null,null,0.27481871031348026,8.5375888299942897,0.16491835383527126,7.7942786397595398]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Elevator(s)",{"$f":"$I$9","v":25},{"$f":"-$I$17+DEGREES(ASIN((SIN(RADIANS(90-$I$16+Q14))-SIN(RADIANS(90-$I$16)))/((SIN(RADIANS(90-$I$16+$I$9))-SIN(RADIANS(90-$I$16)))/(SIN(RADIANS($I$17+$I$7-90))-SIN(RADIANS($I$17-90))))+SIN(RADIANS($I$17-90))))+90","v":50.000000000000021},null,{"$f":"0.0000085*($I$4^2*$I$5*T$3^2*SIN(RADIANS($Q14))*(COS(RADIANS($I$17+$R14-90))/COS(RADIANS(90-$I$16+$Q14)))*(SIN(RADIANS(90-$I$16+$Q14))-SIN(RADIANS(90-$I$16)))/(SIN(RADIANS($I$17+$R14-90))-SIN(RADIANS($I$17-90))))","v":7.2968197880272623},11.401280918792596,16.417844523061337,22.346510600833486,29.187279152109049,36.940150176888011,45.605123675170383,null,"Elevator(s)",{"$f":"$I$10","v":25},{"$f":"$I$17-DEGREES(ASIN((SIN(RADIANS(90-$I$16+-AC14))-SIN(RADIANS(90-$I$16)))/((SIN(RADIANS(90-$I$16+$I$9))-SIN(RADIANS(90-$I$16)))/(SIN(RADIANS($I$17+$I$7-90))-SIN(RADIANS($I$17-90))))+SIN(RADIANS($I$17-90))))-90","v":50},null,{"$f":"0.0000085*($I$4^2*$I$5*AF$3^2*SIN(RADIANS($AC14))*(COS(RADIANS($I$17+-$AD14-90))/COS(RADIANS(90-$I$16+-$AC14)))*(SIN(RADIANS(90-$I$16+-$AC14))-SIN(RADIANS(90-$I$16)))/(SIN(RADIANS($I$17+-$AD14-90))-SIN(RADIANS($I$17-90))))","v":7.2977456031865424},11.402727504978971,16.419927607169718,22.349345909758782,29.19098241274617,36.944837116131865,45.610910019915885,null,"TE",{"$f":"AO$13+$AS$4","v":19},{"$f":"AP$13+$AS$4","v":19},{"$f":"AQ$13+$AS$4","v":19},{"$f":"AR$13","v":7},{"$f":"AS$13","v":7},{"$f":"AT$13","v":7},null,"Elev",{"$f":"$I$4*SIN(RADIANS($Q14))","v":5.4940374026290923},{"$f":"100*$R14/$R$14","v":100},{"$f":"$I$4*SIN(RADIANS($AC14))","v":5.4940374026290923},{"$f":"100*$AD14/$AD$14","v":100}]
[null,null,null,null,null,null,"Maximum required torque at maximum airspeed (oz-in)",{"$f":"MAX(Z6:Z13,AL6:AL13)","v":27.626562093549499},{"$f":"MAX(Z14:Z21,AL14:AL21)","v":45.610910019915885},{"$f":"MAX(Z22:Z29,AL22:AL29)","v":114.85781143771695},null,null,null,null,null,null,{"$f":"Q14-0.13*$Q$14","v":21.75},42.196434873415775,null,7.1956387355032625,11.243185524223847,16.190187154882342,22.036643627478739,28.78255494201305,36.427921098485271,44.972742096895388,null,null,{"$f":"AC14-0.13*$AC$14","v":21.75},42.197005403682482,null,7.1958658214176587,11.243540345965091,16.190698098189731,22.037339078091577,28.783463285670635,36.429070720926887,44.974161383860363,null,"Pos",null,null,null,null,null,null,null,null,4.817246687627871,84.392869746831508,4.817246687627871,84.394010807364964]
[null,null,null,null,null,null,"Virtual pushrod to control horn angle at neutral (degrees)",{"$f":"H13-IF(H12=0,0,DEGREES(ATAN(H11/H12)))","v":90},{"$f":"I13-IF(I12=0,0,DEGREES(ATAN(I11/I12)))","v":89.963756532073518},{"$f":"J13-IF(J12=0,0,DEGREES(ATAN(J11/J12)))","v":63.43494882292201},null,null,null,"Hint: see sample optimization routine below",null,null,18.5,35.109915376056868,null,6.6637860106006208,10.412165641563469,14.993518523851394,20.407844657464402,26.655144042402483,33.735416678665636,41.648662566253876,null,null,18.5,35.110550195234396,null,6.663731287802527,10.412080137191447,14.993395397555686,20.407677068895239,26.654925151210108,33.735139644500293,41.648320548765788,null,"SC",{"$f":"$AO$4+$AR$4*SIN(RADIANS(H$13-H$16))-$AQ$4*SIN(RADIANS(H$13))+AO$7*COS(RADIANS(-90+H$17+H$13))","v":4.2266671626090924},{"$f":"$AO$4+$AR$4*SIN(RADIANS(I$13-I$16))-$AQ$4*SIN(RADIANS(I$13))+AP$7*COS(RADIANS(-90+I$17+I$13))","v":4.569315304369173},{"$f":"$AO$4+$AR$4*SIN(RADIANS(J$13-J$16))-$AQ$4*SIN(RADIANS(J$13))+AQ$7*COS(RADIANS(-90+J$17+J$13))","v":4.8184576843538132},{"$f":"$AP$4-$AR$4*COS(RADIANS(H$13-H$16))+$AQ$4*COS(RADIANS(H$13))+AR$7*SIN(RADIANS(-90+H$17+H$13))","v":5.5891274885534159},{"$f":"$AP$4-$AR$4*COS(RADIANS(I$13-I$16))+$AQ$4*COS(RADIANS(I$13))+AS$7*SIN(RADIANS(-90+I$17+I$13))","v":3.4935777791277447},{"$f":"$AP$4-$AR$4*COS(RADIANS(J$13-J$16))+$AQ$4*COS(RADIANS(J$13))+AT$7*SIN(RADIANS(-90+J$17+J$13))","v":6.0549264712360165},null,null,4.124960533266198,70.219830752113708,4.124960533266198,70.221100390468791]
[null,null,null,null,null,null,"Required pushrod to servo arm angle at neutral (degrees)",{"$f":"DEGREES(ATAN((((SIN(RADIANS(90-H16-H10))-SIN(RADIANS(90-H16)))*SIN(RADIANS(H7)))-((SIN(RADIANS(90-H16+H9))-SIN(RADIANS(90-H16)))*SIN(RADIANS(-H8))))/((SIN(RADIANS(90-H16+H9))-SIN(RADIANS(90-H16)))*(COS(RADIANS(-H8))-1)-(SIN(RADIANS(90-H16-H10))-SIN(RADIANS(90-H16)))*(COS(RADIANS(H7))-1))))+90","v":78.243529600861336},{"$f":"DEGREES(ATAN((((SIN(RADIANS(90-I16-I10))-SIN(RADIANS(90-I16)))*SIN(RADIANS(I7)))-((SIN(RADIANS(90-I16+I9))-SIN(RADIANS(90-I16)))*SIN(RADIANS(-I8))))/((SIN(RADIANS(90-I16+I9))-SIN(RADIANS(90-I16)))*(COS(RADIANS(-I8))-1)-(SIN(RADIANS(90-I16-I10))-SIN(RADIANS(90-I16)))*(COS(RADIANS(I7))-1))))+90","v":90.017231079275504},{"$f":"DEGREES(ATAN((((SIN(RADIANS(90-J16-J10))-SIN(RADIANS(90-J16)))*SIN(RADIANS(J7)))-((SIN(RADIANS(90-J16+J9))-SIN(RADIANS(90-J16)))*SIN(RADIANS(-J8))))/((SIN(RADIANS(90-J16+J9))-SIN(RADIANS(90-J16)))*(COS(RADIANS(-J8))-1)-(SIN(RADIANS(90-J16-J10))-SIN(RADIANS(90-J16)))*(COS(RADIANS(J7))-1))))+90","v":103.06431342950829},null,null,null,null,null,null,15.25,28.474688654582813,null,5.8344982465265049,9.1164035101976655,13.127621054684639,17.868150879987422,23.33799298610602,29.537147373040433,36.465614040790662,null,null,15.25,28.475209219960561,null,5.8343605073956031,9.1161882928056279,13.127311141640106,17.86772905389903,23.337442029582412,29.53645006869024,36.464753171222512,null,"SA",{"$f":"AO16-AO$7*SIN(RADIANS(180-H$17-H$13-H$7))","v":5.0565456543517486},{"$f":"AP16-AP$7*SIN(RADIANS(180-I$17-I$13-I$7))","v":5.8091337670393184},{"$f":"AQ16-AQ$7*SIN(RADIANS(180-J$17-J$13-J$7))","v":6.086279825301748},{"$f":"AR16-AR$7*COS(RADIANS(180-H$17-H$13-H$7))","v":4.8482642232534969},{"$f":"AS16-AS$7*COS(RADIANS(180-I$17-I$13-I$7))","v":2.8893394026718289},{"$f":"AT16-AT$7*COS(RADIANS(180-J$17-J$13-J$7))","v":5.6688699368469795},null,null,3.4194057879536723,56.949377309165605,3.4194057879536723,56.950418439921123]
[null,null,null,null,null,null,"Required servo arm length (cm)",{"$f":"IF(H12=0,\"?\",((SIN(RADIANS(90-H16+H9))-SIN(RADIANS(90-H16)))/(SIN(RADIANS(H17+H7-90))-SIN(RADIANS(H17-90))))*SQRT(H11^2+H12^2))","v":"?"},{"$f":"IF(I12=0,\"?\",((SIN(RADIANS(90-I16+I9))-SIN(RADIANS(90-I16)))/(SIN(RADIANS(I17+I7-90))-SIN(RADIANS(I17-90))))*SQRT(I11^2+I12^2))","v":2.2746715001975062},{"$f":"IF(J12=0,\"?\",((SIN(RADIANS(90-J16+J9))-SIN(RADIANS(90-J16)))/(SIN(RADIANS(J17+J7-90))-SIN(RADIANS(J17-90))))*SQRT(J11^2+J12^2))","v":2.3707636770102782},null,null,null,null,null,null,12,22.139386131113383,null,4.7933418719736691,7.4895966749588583,10.785019211940757,14.679609482919366,19.173367487894676,24.266293226866704,29.958386699835433,null,null,12,22.139742685502014,null,4.7932137670807,7.4893965110635925,10.784730975931575,14.679217161684644,19.1728550683228,24.265644695846042,29.95758604425437,null,"CA",{"$f":"$AO$4+$AR$4*SIN(RADIANS(H$13-H$16+H$9))","v":15.056545654351748},{"$f":"$AO$4+$AR$4*SIN(RADIANS(I$13-I$16+I$9))","v":15.574529656641065},{"$f":"$AO$4+$AR$4*SIN(RADIANS(J$13-J$16+J$9))","v":16.086279825301748},{"$f":"$AP$4-$AR$4*COS(RADIANS(H$13-H$16+H$9))","v":4.7342305324083753},{"$f":"$AP$4-$AR$4*COS(RADIANS(I$13-I$16+I$9))","v":5.0581307046153263},{"$f":"$AP$4-$AR$4*COS(RADIANS(J$13-J$16+J$9))","v":5.6225253212712385},null,null,2.7028519806308715,44.278772262226745,2.7028519806308715,44.279485371004029]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.75,16.006090352091903,null,3.6019236972134028,5.6280057768959413,8.1043283187301558,11.030891322716046,14.407694788853611,18.23473871714285,22.512023107583765,null,null,8.75,16.006291302766357,null,3.6018401778140867,5.6278752778345105,8.1041404000816932,11.03063554455564,14.407360711256347,18.234315900183812,22.511501111338042,null,"CH",{"$f":"AO$12+$AR$4*SIN(RADIANS(H$13-H$16))*(COS(RADIANS(H$9))-1)","v":14},{"$f":"AP$12+$AR$4*SIN(RADIANS(I$13-I$16))*(COS(RADIANS(I$9))-1)","v":14.549529814010574},{"$f":"AQ$12+$AR$4*SIN(RADIANS(J$13-J$16))*(COS(RADIANS(J$9))-1)","v":14.968245836551855},{"$f":"AR$12+$AR$4*SIN(RADIANS(H$13-H$16))*SIN(RADIANS(H$9))","v":7},{"$f":"AS$12+$AR$4*SIN(RADIANS(I$13-I$16))*SIN(RADIANS(I$9))","v":7.2562499606576232},{"$f":"AT$12+$AR$4*SIN(RADIANS(J$13-J$16))*SIN(RADIANS(J$9))","v":7.5590169943749475},null,null,1.9776040204689169,32.012180704183791,1.9776040204689169,32.012582605532714]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5,10.004806874745157,null,2.3085882064715371,3.6071690726117764,5.1943234645609593,7.0700513823190807,9.2343528258861483,11.687227795262157,14.428676290447106,null,null,5.5,10.004888956802745,null,2.3085513567165852,3.6071114948696645,5.1942405526123183,7.069938529944543,9.2342054268663407,11.687041243377713,14.428445979478658,null,"HL",{"$f":"$AO$4","v":14},{"$f":"$AO$4","v":14},{"$f":"$AO$4","v":14},{"$f":"$AP$4","v":7},{"$f":"$AP$4","v":7},{"$f":"$AP$4","v":7},null,null,1.2459947827629119,20.009613749490306,1.2459947827629119,20.00977791360549]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.25,4.0807791626306908,null,0.95412079653967208,1.4908137445932375,2.146771792214262,2.9219949394027456,3.8164831861586883,4.8302365324820897,5.9632549783729498,null,null,2.25,4.0807931238957451,null,0.95411429618259025,1.490803587785297,2.1467571664108278,2.9219750320591826,3.816457184730361,4.8302036244243629,5.9632143511411879,null,"TE",{"$f":"AO$14+$AS$4*(COS(RADIANS(H$9))-1)","v":18.531538935183249},{"$f":"AP$14+$AS$4*(COS(RADIANS(I$9))-1)","v":18.531538935183249},{"$f":"AQ$14+$AS$4*(COS(RADIANS(J$9))-1)","v":18.330127018922195},{"$f":"AR$14+$AS$4*SIN(RADIANS(H$9))","v":9.1130913087034973},{"$f":"AS$14+$AS$4*SIN(RADIANS(I$9))","v":9.1130913087034973},{"$f":"AT$14+$AS$4*SIN(RADIANS(J$9))","v":9.5},null,null,0.51037760486789197,8.1615583252613781,0.51037760486789197,8.1615862477914902]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"stalled servo:  required torque exceeds available torque",null,null,null,null,null,null,null,null,null,null,null,"stalled servo:  required torque exceeds available torque"]
[]
[]
[]
[]
[]
[]
[null,null,"Sample optimization of aileron control setup for minimum servo demand:"]
[null,null,"1  To limit total aileron servo throw to 120 degrees, enter the formula (=120-H7) in cell H8."]
[null,null,"2  Use the spin button in cell H7 to vary aileron servo throw."]
[null,null,"3  Watch cell H15 for maximum required aileron servo torque at maximum airspeed."]
[null,null,"4  Choose the servo throw that minimizes the maximum required torque."]
[null,null,"(Note: The maximum required torque is the highest point of the red OR blue line in the graph.)"]

{"sheet":"ServoPlus","index":2,"n_rows":33,"n_cols":51,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
[null,null,"Point Here"]
[null,"Input Data:",null,null,null,null,"Control Linkage Diagram (Click on the diagram to recenter the image.)",null,"Deflection vs. Stick Pos. (Click to toggle)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Torque, Force, and Deflection Data:",null,null,null,null,null,null,null,"Control Geometry Data:"]
[null,"Xs",10,"cm",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Stick","TEdef","Ac","Tc","Fp","Ts",null,null,"Xo","Yo","X+","Y+","X-","Y-","X","Y"]
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[null,null,null,null,null,null,null,null,null,null,null,null,"A flip",true,null,"Ac-",{"$f":"Q$17+N$14","v":5.0940907013788248},null,-0.3,-1.2813802266833834,10.594218147244941,-1.9955139089412828,2.3187837926111539,1.167834675687796,-1.5401895274533628,-1.5401895274533628,-3.0896923764610618,-0.17250385394569825,1.4270472555318645,1.4557360972879485,81.071983112150022,23.083249020723294,47.566087043020985,null,"-",0.3,3.0896923764610618,9.8837427808296834,81.071983112150022,1.4427030637952059,47.566087043020985,null,0.3,9.1195220184085102E-2,5.5693155495430371E-2]
[null,"Stick",{"$f":"N9-100","v":-30},"%",null,null,null,null,null,null,null,null,"A flip",{"$f":"IF(N$19,-1,1)","v":-1},null,"Ls",{"$f":"Q10/(2*(($AR$4-$AV$6)*COS(Q23)-($AR$4-$AR$6)*COS($Q$21)+($AS$4-$AW$6)*SIN(Q23)-($AS$4-$AS$6)*SIN($Q$21)))","v":2.0821073380816197},null,-0.4,-1.1853871178236952,10.782744017035453,-1.9293736732651168,2.8520154764430052,1.1303403028707404,-1.4844560601395373,-1.4844560601395373,-4.0726963656361717,-0.22823732125952326,1.3362655941258523,1.5062581171480984,106.86551628611032,30.289190577491436,61.338837512991404,null,"-",0.4,4.0726963656361717,13.077035235542182,106.86551628611032,1.8930744110932147,61.338837512991404,null,0.4,0.15227522134648019,9.1391619237561006E-2]
[null,"Ac",{"$f":"DEGREES(ASIN(SIN($N$20*($Z5-$Q$17+$N$17))))","v":-9.8837427808296834},"deg",null,null,null,null,null,null,null,null,"S rev",false,null,"Aso",{"$f":"IF(SIGN(ASIN(SIN($Q$14-$Q$13)))*N$22*SIGN(ASIN(SIN(Q$15-Q$13)))>0,Q$15-SIGN(ASIN(SIN($Q$14-$Q$13)))*N$22*PI(),Q$15)","v":-1.5693595532624478},null,-0.5,-1.0893940089640073,10.964062690458549,-1.8454685302543508,3.3648621305758879,1.0965762316020973,-1.4300895748123685,-1.4300895748123685,-5.0194280051682938,-0.28260380658669276,1.2462052012496341,1.5546918864917978,131.70728114161344,37.25727593942873,73.522845181133448,null,"-",0.5,5.0194280051682938,16.192005391748911,131.70728114161344,2.3285797462142956,73.522845181133448,null,0.5,0.21717310478436502,0.12701251223394608]
[null,null,null,null,null,null,null,null,null,null,null,null,"S rev",{"$f":"IF(N$21,-1,1)","v":1},null,"As+",{"$f":"Q$21+N15","v":-2.5292906418593288},null,-0.6,-0.99340090010431903,11.136504657104695,-1.7445710451777741,3.8526016664824247,1.0666005300042989,-1.3773814895832293,-1.3773814895832293,-5.9231467390451549,-0.33531189181583115,1.1568943278460047,1.6007177362648772,155.42040885917532,43.979215639241161,83.837183507627273,null,"-",0.6,5.9231467390451549,19.211956221594374,155.42040885917532,2.7487009774525726,83.837183507627273,null,0.6,0.27402218992901339,0.15481184713229923]
[null,null,null,null,null,null,null,null,null,null,null,null,"C",{"$f":"$N$20*$C$17","v":-18},null,"As-",{"$f":"Q$21+N16","v":-0.60942846466556655},null,-0.7,-0.89740779124463099,11.298482139758663,-1.6276102420484735,4.3107431720190101,1.0404843874544067,-1.3266271847547793,-1.3266271847547793,-6.7778473045675156,-0.38606619664428116,1.0683666423162337,1.6440066177634116,177.84732434819935,50.437926519129796,92.038641704839819,null,"-",0.7,6.7778473045675156,22.119963680385016,177.84732434819935,3.1523704074456123,92.038641704839819,null,0.7,0.30643372385670986,0.1657214766362797]
[null,"Output Data:",null,null,null,null,null,null,null,null,null,null,null,null,null,"Lp",{"$f":"SQRT(($AR$5-$AR$6)^2+($AS$5-$AS$6)^2)","v":10.598266673073672},null,-0.8,-0.80141468238494273,11.448503714022213,-1.4956630495392944,4.7350682619631606,1.0183123746385991,-1.2781262500731345,-1.2781262500731345,-7.5783205127734616,-0.43456713132592589,0.98065958170619816,1.6842215041954034,198.85134109491926,56.607397220059092,97.927925119206051,null,"-",0.8,7.5783205127734616,24.898862540082941,198.85134109491926,3.5379623262536932,97.927925119206051,null,0.8,0.29232934974623603,0.14987701881255991]
[null,"Ts max",{"$f":"MAX(AG5:AG26)","v":102.23656073203699},"oz-in",null,null,null,null,null,null,null,null,null,null,null,null,null,null,-0.9,-0.7054215735252547,11.585188040758236,-1.3499443850508768,5.1216699192310013,1.0001808343443683,-1.2321812078520933,-1.2321812078520933,-8.3202013852200949,-0.48051217354696729,0.89381235657143421,1.7210206626915199,218.31792424748264,62.453009097411417,101.35693226596769,null,"-",0.9,8.3202013852200949,27.531319548898985,218.31792424748264,3.9033130685882136,101.35693226596769,null,0.9,0.20263053629614802,9.7461758332270595E-2]
[null,"Tc max",{"$f":"MAX(AE5:AE26)","v":236.15550000000036},"oz-in",null,null,null,null,null,null,null,null,null,null,null,null,null,null,-1,-0.60942846466556655,11.707276584913519,-1.1917959682342292,5.466988469140575,0.98619439285483301,-1.1890946058007612,-1.1890946058007612,-9.0000000000000071,-0.52359877559829948,0.80786352580026566,1.7540629866543318,236.15550000000025,67.93248569215605,102.23656073203699,null,"-",1,9.0000000000000071,30.000000000000036,236.15550000000025,4.2457803557597531,102.23656073203699,null,1,1.7763568394002505E-14,7.922973385546289E-15]
[null,"Fp max",{"$f":"MAX(AF5:AF26)/16","v":6.0902845691386247},"lbf"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Requires:  Equal +/- servo throw (Rs+ = Rs-) and servo on centerline (Ys = 0)"]
[null,"Aspo",{"$f":"DEGREES(ACOS(($Q$24^2+$Q$20^2-($Q$4+$Q$16*COS($Q17)-$Q$6)^2-($Q$5+$Q$16*SIN($Q17)-$Q$7)^2)/(2*$Q$20*$Q$24)))","v":97.606078258694325},"deg",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Assumed:  Pull cables are equal length and connected to either side of servo wheel or arm."]
[null,"Asco",{"$f":"ABS(DEGREES(ASIN(SIN($Q$21))))","v":89.917678940469628},"deg",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Positive values indicate slack.  Negative values indicate binding."]
[null,"Ls",{"$f":"$Q$20","v":2.0821073380816197},"cm",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Offset at either the servo or control horn may be required to eliminate binding."]
[null,"Lp",{"$f":"$Q$24","v":10.598266673073672},"cm",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Asco = 90 degrees (see Output Data) corresponds to zero servo offset (i.e. straight arms)."]
[null,null,null,null,null,null,"Note: You can make copies of this worksheet in this workbook for use with different control surfaces."]

{"sheet":"PropStuff","index":3,"n_rows":15,"n_cols":10,"rows_kept":15,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Theoretical max level flight speed based on prop pitch and rpm (and prop tip speed thrown in, too)"]
[]
[null,"Diameter (in)","Pitch (in)","RPM","Max airspeed (mph)","Prop tip speed (Mach)",null,"T=",65,"F"]
[null,15,10,9000,{"$f":"C5*D5*60/(12*5280)","v":85.227272727272734},{"$f":"B5*PI()*D5*2.54/(100*60)*SQRT(0.0286/($I$6*8.314*$I$5))","v":0.52128260434282958},null,"T=",{"$f":"IF(J4=\"F\",(I4-32)*5/9+273.15,I4+273.15)","v":291.48333333333329},"K"]
[null,16,8,9000,{"$f":"C6*D6*60/(12*5280)","v":68.181818181818187},{"$f":"B6*PI()*D6*2.54/(100*60)*SQRT(0.0286/($I$6*8.314*$I$5))","v":0.55603477796568501},null,"Cp/Cv=",1.4]
[null,18,6,9000,{"$f":"C7*D7*60/(12*5280)","v":51.136363636363633},{"$f":"B7*PI()*D7*2.54/(100*60)*SQRT(0.0286/($I$6*8.314*$I$5))","v":0.62553912521139554}]
[null,10,6,15000,{"$f":"C8*D8*60/(12*5280)","v":85.227272727272734},{"$f":"B8*PI()*D8*2.54/(100*60)*SQRT(0.0286/($I$6*8.314*$I$5))","v":0.57920289371425515},null,"High prop tip speeds make for noisy airplanes."]
[null,11,7,12300,{"$f":"C9*D9*60/(12*5280)","v":81.534090909090907},{"$f":"B9*PI()*D9*2.54/(100*60)*SQRT(0.0286/($I$6*8.314*$I$5))","v":0.52244101013025812},null,"(\"High\" seems to be very roughly Mach 0.6+.)"]
[]
[null,"The results are coarse, to say the least, but it's better than a blind guess.",null,null,null,null,null,"Assuming ideal gas behavior:"]
[null,"Drag, airfoils, and gravity are ignored (realistic, eh?).",null,null,null,null,null,"speed of sound = sqrt[(R T Cp) / (M Cv)]"]
[]
[null,null,null,null,null,null,null,"Cp/Cv for air from Perry's ChE's Handbook"]
[null,null,null,null,null,null,null,"M ~ 28.6 g/mol for dry air"]

{"sheet":"RCCD_All_Star","index":4,"n_rows":4,"n_cols":4,"rows_kept":4,"cut":false,"hidden":false,"merged":[]}
["All Star Size Inches"]
[null,"Ailerons","Elevators","Rudder"]
["Cord",1.75,2.5,3]
["Length",33,22,10]