Question

The angular velocity of second hand, of a clock is :

• A. $\left(\frac{\pi}{6}\right) rad\, s ^{-1}$
• B. $\left(\frac{\pi}{60}\right) rad\, s ^{-1}$
• C. $\left(\frac{\pi}{30}\right) rad\, s ^{-1}$
• D. $\left(\frac{\pi}{15}\right) rad\, s ^{-1}$

Answer 1

Answer: (C)

$\left(\frac{\pi}{30}\right) rad\, s ^{-1}$

Answer 2

Angular velocity $=\frac{\Delta \theta}{\Delta t}=\frac{2 \pi}{60} rad\, s ^{-1}$ $=\frac{\pi}{30} rad \,s ^{-1}$ Reason : A second hand makes an angle of $2 \pi$ (i.e., $360^{\circ}$ ) is one minute, (i.e., $60 \,s$ ).