Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीAn engine transmits a constant power of 15 kW to a shaft rotating at a steady angular speed of 300 rpm. The torque delivered by the engine to the shaft is:
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Correct answer · Option B
\( \frac{1500}{\pi}\text{ N}\cdot\text{m} \)
Explanation
\( \omega = \frac{2\pi \times 300}{60} = 10\pi\text{ rad/s} \). Instantaneous power \( P = \tau \omega \implies \tau = \frac{P}{\omega} = \frac{15000}{10\pi} = \frac{1500}{\pi}\text{ N}\cdot\text{m} \).