Question
The main rotor of a helicopter produces a torque of 4.8 kNm. If the tail rotor is capable of producing 720 Newtons of thrust, calculate the minimum tail rotor moment arm (in metres).
Answers
GPT 3.5
To calculate the minimum tail rotor moment arm, we need to use the torque equation:
Torque = Force x Moment Arm
In this case, the torque produced by the main rotor is 4.8 kNm, and the force produced by the tail rotor is 720 Newtons. So, the equation becomes:
4.8 kNm = 720 N x Moment Arm
To find the moment arm, divide both sides of the equation by 720 N:
Moment Arm = (4.8 kNm) / (720 N)
Converting the kilonewton-meters (kNm) to Newton-meters (Nm):
Moment Arm = (4.8 x 1000 Nm) / (720 N)
Simplifying:
Moment Arm = 6.667 meters
Therefore, the minimum tail rotor moment arm is 6.667 meters.
Torque = Force x Moment Arm
In this case, the torque produced by the main rotor is 4.8 kNm, and the force produced by the tail rotor is 720 Newtons. So, the equation becomes:
4.8 kNm = 720 N x Moment Arm
To find the moment arm, divide both sides of the equation by 720 N:
Moment Arm = (4.8 kNm) / (720 N)
Converting the kilonewton-meters (kNm) to Newton-meters (Nm):
Moment Arm = (4.8 x 1000 Nm) / (720 N)
Simplifying:
Moment Arm = 6.667 meters
Therefore, the minimum tail rotor moment arm is 6.667 meters.