Question

A particle moves in a circle whose radius is $20$ cm with a linear speed of $10{ms}^{-1}$ . Then its angular velocity is ____ rad $s^{-1}$

• A. $100$
• B. $50$
• C. $25$
• D. $125$

Answer 1

The correct option is B $50$

Radius, $r=20$ $cm=20\times {10}^{-2}$ $m$

Linear speed, $V=10$ $m/s$

Angular velocity is given by:

$\omega =\frac{v}{r}$

$\Rightarrow \omega =\frac{10}{20\times {10}^{-2}}$

$\Rightarrow \omega =0.5\times {10}^{-2}$

$\Rightarrow \omega =50$ $rad/s$