Torque from Power and Shaft Speed

Easytorsionpower
A shaft transmits 30 kW at 1200 rpm. The transmitted torque is most nearly:
  1. A120 N·m
  2. B500 N·m
  3. C239 N·m
  4. D1500 N·m
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Answer: C. 239 N·m

ω = 2π(1200)/60 = 125.7 rad/s, so T = P/ω = 30 000/125.7 = 239 N·m. Dividing power by rpm directly gives 25 N·m and forgetting the 2π gives 1500 N·m.
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