The angular speed of the seconds needle in a mechanical watch is:

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Accepted Answer

1.  **Definition:** Angular speed ($\omega$) is defined as the angle covered per unit time. For a complete revolution, the angle covered is $2\pi$ radians.
2.  **Time Period:** The time period ($T$) is the time taken to complete one full revolution. For the seconds needle of a watch, it takes 60 seconds to complete one circle ($T = 60	ext{ s}$).
3.  **Calculation:** Using the formula $\omega = \frac{2\pi}{T}$ :
    $\omega = \frac{2\pi}{60} = \frac{\pi}{30} 	ext{ rad/s}$.

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