To calculate the minimum tail rotor moment arm required to counteract the torque produced by the main rotor of the helicopter, we can use the following formula:
\[ \text{Torque} = \text{Force} \times \text{Moment Arm} \]
In this case, the torque produced by the main rotor is 4.8 kNm, and the thrust produced by the tail rotor is 720 N. We need to isolate the moment arm in the equation.
We can first convert the torque from kilonewton-meters (kNm) to newton-meters (Nm): \[ 4.8 \text{ kNm} = 4.8 \times 1000 \text{ Nm} = 4800 \text{ Nm} \]
Now, we need to use the formula to find the minimum moment arm (\(d\)): \[ 4800 \text{ Nm} = 720 \text{ N} \times d \]
Solving for \(d\): \[ d = \frac{4800 \text{ Nm}}{720 \text{ N}} \approx 6.67 \text{ m} \]
Thus, the minimum tail rotor moment arm required to produce enough torque to counteract the main rotor torque is approximately:
\[ \boxed{6.67 \text{ metres}} \]
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