Angular Velocity of Seconds Hand – Rankers Physics
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Angular Velocity of Seconds Hand

Assertion (A): Angular velocity of the seconds hand of a watch is \(frac{pi}{30}text{ rad/s}\). Reason (R): Angular velocity is equal to \(frac{2pi}{text{T}}\) where \(text{T}\) is the time period.
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Angular velocity \(omega = frac{2pi}{text{T}}). For a seconds hand, \(text{T} = 60text{ s}). Thus, \(omega = frac{2pi}{60} = frac{pi}{30}text{ rad/s}). Both assertion and reason are true, and the reason correctly explains the assertion.

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