Q. If the length of the second’s hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is
A) $0.2047\ {rads}^{- 1},\ 0.0314\ {ms}^{- 1}$
B) $0.2547\ {rads}^{- 1},\ 0.0314\ {ms}^{- 1}$
C) $0.1472\ {rads}^{- 1},\ 0.06314\ {ms}^{- 1}$
D) $0.1047\ {rads}^{- 1},\ 0.00314\ {ms}^{- 1}$
Explanation
(d) Angular velocity of second’s hand
$= \frac{2\pi}{60} = \frac{\pi}{30} = \frac{3.14}{30}$
$= 0.1047\ {rad\ s}^{- 1}$
Linear velocity, $v = r\omega$
$= 3 \times 10^{- 2} \times 0.1047 = 0.00314\ {ms}^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.