The relative angular speed of hour hand and minute hand of clock is (a) (2π)/(60) (b) (11π)/(360) (c) (11π)/(21600) (d) (2π)/(3600)

Answer: (c). Minute hand: ωm = (2π)/(3600) = (12π)/(21600) rad/s. Hour hand: ωh = (2π)/(43200) = (π)/(21600) rad/s. ωm - ωh = (11π)/(21600) rad/s. So the answer is (c) (11π)/(21600).

The relative angular speed of hour hand and minute hand of clock is | MHT CET 2026 (13 Apr, Shift 1)

Q8MHT CET 2026 · 13 APR · SHIFT 1Easy

Angular Variables

The relative angular speed of hour hand and minute hand of clock is

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Answer: (c)

Minute hand: $\omega_m = \frac{2\pi}{3600} = \frac{12\pi}{21600}$ rad/s.
Hour hand: $\omega_h = \frac{2\pi}{43200} = \frac{\pi}{21600}$ rad/s.
$\omega_m - \omega_h = \frac{11\pi}{21600}$ rad/s.
So the answer is (c) $\frac{11\pi}{21600}$ .

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