NEET Physics Question - Circular Motion - Kinematics of Circular Motion

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

Rankers Physics

Angular Velocity of Seconds Hand

Solution:

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