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).
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.
To solve this problem, we need to use the formula for torque:
Torque = Force x Moment arm
Given:
Main rotor torque = 4.8 kNm
Tail rotor thrust = 720 N
We want to find the minimum tail rotor moment arm.
Rearranging the formula, we have:
Moment arm = Torque / Force
Converting the main rotor torque from kNm to Nm:
4.8 kNm = 4.8 * 1000 Nm = 4800 Nm
Plugging in the values into the equation:
Moment arm = 4800 Nm / 720 N
Calculating the moment arm:
Moment arm = 6.67 m
Therefore, the minimum tail rotor moment arm is approximately 6.67 metres.
To solve this problem, you need to use the concept of torque and moment arm.
Torque (τ) is the product of force (F) and moment arm (d) and is calculated using the formula:
τ = F * d
Given that the main rotor produces a torque of 4.8 kNm (4.8 kiloNewtons x meters), and the tail rotor can produce 720 Newtons of thrust, we can equate the two torques:
4.8 kNm = 720 N * d
First, let's convert 4.8 kNm to Newton meters (Nm):
1 kNm = 1000 Nm
4.8 kNm = 4.8 * 1000 Nm = 4800 Nm
Now we can rewrite the equation as:
4800 Nm = 720 N * d
To find the minimum tail rotor moment arm (d), we can rearrange the equation:
d = (4800 Nm) / (720 N)
Now we can calculate the value:
d = 4800 Nm / 720 N
= 6.67 meters (rounded to two decimal places)
Therefore, the minimum tail rotor moment arm is approximately 6.67 meters.