The pilot of an aircraft is planning a flight carrying a bridal pair, both sitting on the rear seats. The calculated CG is out of limits and the pilots decides to load some ballast at the front seats to move the CG within limits. The aircraft total mass is 2570 lb. Given the following data, how much should the weight of the ballast?
Datum: at the nose
Front seats: 65 in
Rear seats: 105 in
Compartment: 145 in
Aft limit: 149 in aft
Actual CG: 160 in aft
The CG is currently rear of the AFT limit and needs to move forwards. This distance is 160 in to 149 in = 11 in
In order to move the CG into limits, the pilot will load ballast on to the front seat. The arms for the rear seats and the compartment are not required in this question.
Step 1. Establish the parameters:
m = mass to be added (?)
M = total mass (2570 lbs)
d = CG movement required (11 in)
D = relevant distance, between the target CG position and the front seat being loaded (distance between 149 in and 65 in = 84 in)
Step 2. Time for the formula:
m/M = d/D
m/2570 = 11/84
m = 336.5 lbs
By adding 336.5 lbs on the front seat, the CG is moved into limits.
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