RCO Training – Mechanical Practice Test

Power and torque are linked by P = T × ω. To use this with rotational speed, convert rpm to angular velocity: ω = 2π × (rpm/60).

Here, P = 50 kW = 50,000 W and rpm = 900. So ω = 2π × 900/60 = 30π rad/s ≈ 94.25 rad/s. Then T = P/ω = 50,000 / 94.25 ≈ 531 N·m.

The shaft needs about 531 N·m of torque, which matches the option closest to that value.