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) $0.2047\ rad/sec.,\ 0.0314\ m/sec$
B) $0.2547\ rad/sec.,\ 0.314\ m/sec$
C) $0.1472\ rad/sec.,\ 0.06314\ m/sec$
D) $0.1047\ rad/sec.,\ 0.00314\ m/sec$
Explanation
(d) $\omega = \frac{2\pi}{T} = \frac{2\pi}{60} = 0.1047\ rad/s$
And $v = \omega r = 0.1047 \times 3 \times 10^{- 2} = 0.00314\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.