Altitude Record Performance Spreadsheet

The following spreadsheet predicts the altitude, speed, and horsepower required for the CarterCopter given the design specifications and some assumptions about the efficiency and drag of various items. This configuration assumes an 90 foot wingspan, 70 foot diameter rotor, and just enough fuel to reach maximum altitude. This spreadsheet also models the performance during the last stage of the around the world flight.

Summary: Takeoff weight of 3,200 pounds, 250 pounds fuel, requires 87 HP at 70,000 feet.

Input Variables and Assumptions:

 

225   AREA WING DRAG - SQ FT; R=48", T=12"        
225   AREA WING LIFT - SQ FT        
22   AREA HORIZONTAL STAB - SQ FT        
50   AREA VERTICAL STAB- SQ FT        
220   FUSELAGE WETTED AREA- SQ FT        
15   MAST WETTED AREA - SQ FT        
60   BOOM WETTED AREA - SQ FT        
20   SPINNER WETTED AREA - SQ FT        
0.01   COEFF DRAG ROTOR        
0.007   COEFF DRAG AIRFOIL        
0.0035   COEFF DRAG WETTED        
0.2   WING DRAG MISC - FLAT PLATE SQ FT        
0.4   COOLING DRAG - FLAT PLATE SQ FT        
0.2   FUSELAGE & PYLON DRAG MISC - FLAT PLATE SQ FT        
0.1   TAIL DRAG MISC - FLAT PLATE SQ FT        
0.95   WING EFF        
90   SPAN - FT        
70   ROTOR DIA. - FT        
85   AREA OF BLADE - SQ FT        
60   RPM - ROTOR        
0.92   PROP EFF.        
300   HORSEPOWER AVAILABLE @ SEA LEVEL        
0.38   DIESEL BRAKE SPECFIC FUEL CONSUMPTION        
3,200   WEIGHT GROSS - LBS        
2,950   WEIGHT LANDING - LBS        
0.90   COEFF LIFT        

Calculated Results:

 

ALTITUDE 0 15K 30K 45K 50K 60K 70K
RHO 0.00238 0.0015 0.00089 0.00046 0.000362 0.000224 0.000138
V - SOUND 1116 1057 995 968 968 968 968
VFPS 106 134 173 241 272 346 441
VMPH 72 91 118 164 185 235 300
PHP 11.45 14.43 18.72 26.02 29.35 37.31 47.58
IHP 6.64 8.37 10.85 15.08 17.01 21.63 27.59
RHP 6.84 6.11 6.17 7.27 7.94 9.70 12.12
THP REQD 24.93 28.91 35.74 48.38 54.30 68.65 87.29
HP AVAIL W/O TURB 300.00 188.76 112.23 58.08 45.66 28.24 17.37
T DRAG 118.91 109.40 104.26 101.53 101.04 100.47 100.18
MPG 47.23 51.34 53.87 55.31 55.58 55.90 56.06
L/D 26.91 29.25 30.69 31.52 31.67 31.85 31.94
RANGE 1987 2160 2267 2328 2339 2352 2359
REY/FT. 675016 580368 488904 368190 321825 209002 162720

Fixed Calculations

 

AR= 36.00   WING ASPECT RATIO        
FP= 4.08   FLAT PLATE EQ. AREA W/O ROTOR - SQ FT        
FPR= 2.65   FLAT PLATE EQ. AREA ROTOR - SQ FT        
TFP= 6.73   TOTAL FLAT PLAT EQ. AREA - SQ FT        
RSA= 3848   ROTOR SWEPT AREA - SQ FT        
RTS= 220   ROTOR TIP SPEED - FPS        
RDL= 0.83   HOVER ROTOR DISK LOADING - #/SQ FT        
WL= 13.21   WING LOADING WITH ROTOR CARRYING SOME WT - #/SQ FT        

 

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