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9. (Refer to Figures 32 and 33.) Calculate the weight and balance and determine if the CG and the weight of the airplane are within limits.
Front seat occupants: 350 lb.
Rear seat occupants: 325 lb.
Baggage: 27 lb.
Fuel: 35 gal
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- Weight: 350 lbs
- Arm: 85 in
- Moment: 350 * 85 = 29,750 lb-in
Rear Seat Occupants:
- Weight: 325 lbs
- Arm: 121 in
- Moment: 325 * 121 = 39,325 lb-in
Baggage:
- Weight: 27 lbs
- Arm: 140 in
- Moment: 27 * 140 = 3,780 lb-in
Fuel (35 gallons):
- Weight: 35 * 6 = 210 lbs
- Arm: 75 in
- Moment: 210 * 75 = 15,750 lb-in
Empty Weight:
- Weight: 2,015 lbs
- Moment: 151,593 lb-in
Total Weight and Moment:
- Total Weight: 2,015 + 350 + 325 + 27 + 210 = 2,927 lbs
- Total Moment: 151,593 + 29,750 + 39,325 + 3,780 + 15,750 = 240,198 lb-in
CG = Total Moment/Total Weight = 240,198/2,927 ≈ 82.07 inches
Limits Check:
- Weight limit: 2,950 lbs
- CG limits: 77.0 to 85.7 inches for this weight range
Since the weight is within the limit and the CG is within the limits