Question

A turbine develops 2512 kW at 240 rpm. The approximate torque in the shaft is

• A. 400 kN.m
• B. 3335 kN.m
• C. 1000 kN.m
• D. 100 kN.m

Hint:

When calculating torque from power, remember to use the correct units and formula. Always keep track of your units to avoid errors.

Answer 1

The Correct Option is A

We know that Power \( P = \frac{2\pi NT}{60} \) where: - \( P = 2512 \, \text{kW} \) - \( N = 240 \, \text{rpm} \) Rearranging the formula for \( T \) (torque), we get: \[ T = \frac{P \times 60}{2\pi N} \] Substituting the values: \[ T = \frac{2512 \times 60}{2\pi \times 240} \approx 400 \, \text{kN.m} \] Thus, the torque in the shaft is approximately 400 kN.m.