Question

A ball of mass $1$ kg is tied to a string of length $2$ m and rotated in a circular path with a uniform speed of $10{ms}^{-1}$. The angular velocity of the body is ____ $rad{s}^{-1}$

• A. $10$
• B. $15$
• C. $5$
• D. $25$

Answer 1

The correct option is C $5$

Mass, $m=1$ $kg$

Radius, $r=2$ $m$

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

Angular speed, $\omega =\frac{v}{r}$

$\Rightarrow \omega =\frac{10}{2}$

$\Rightarrow \omega =5$ $rad/s$