An airplane flies on a level path with an aerobat standing 22 m along one wing away from the central axis of the airplane.If the aileron on the opposite wing has to provide an additional downward force of 770 N at 15 m from the central axis of the airplane body in order to keep the airplane flying on a level path,what is the mass of the aerobat?
A)54 kg
B)79 kg
C)120 kg
D)110 kg

Question

Quizplus · Accepted Answer

The torque due to the weight of the aerobat must be balanced by the torque due to the additional downward force provided by the aileron.Therefore, (mass of the aerobat) * (acceleration due to gravity) * (distance from the central axis) = (additional downward force) * (distance from the central axis)(mass of the aerobat) * (9.8 m/s^2) * (22 m) = (770 N) * (15 m)(mass of the aerobat) = 54 kg

An Airplane Flies on a Level Path with an Aerobat