Question

A clock is in x- y plane. Find angular velocity of second hand of a clock (in rad/s).

• A. $\frac{\pi }{30}\left(\hat{i}\right)$
• B. $\frac{\pi }{30}(-\hat{j})$
• C. $\frac{\pi }{60}\left(\hat{k}\right)$
• D. $\frac{\pi }{30}(-\hat{k})$

Answer 1

The correct option is D $\frac{\pi }{30}(-\hat{k})$

$\omega =\frac{2\pi }{T}=\frac{2\pi }{60}$
$\overrightarrow{\omega }=\omega (-\hat{k})$
$=\frac{\pi }{30}(-\hat{k})$