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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

A torque \( \tau \) acting on a body produces an infinitesimal angular displacement \( d\theta \). The work done \( dW \) by the torque is expressed as:

  1. \( dW = \tau \, d\theta \)
  2. \( dW = I \tau \, d\theta \)
  3. \( dW = \frac{\tau}{d\theta} \)
  4. \( dW = \frac{1}{2}\tau \, d\theta \)

Correct answer · Option 1

\( dW = \tau \, d\theta \)

Explanation

Work done by a torque in rotational motion about a fixed axis is analogous to linear work \( dW = F \, ds \), given by \( dW = \tau \, d\theta \).
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