Question

Two points of a rigid body are moving as shown. Then determine the angular velocity of the body is :

• A. $\frac{\upsilon }{2R}$
• B. $\frac{\upsilon }{R}$
• C. $\frac{2\upsilon }{R}$
• D. $\frac{2\upsilon }{3R}$

Answer 1

The correct option is B $\frac{\upsilon }{R}$

Tangential velocity, $v=\omega R$

Where,

$\omega$ = angular velocity

$r$ = distance from center

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

Hence, angular velocity is $\frac{v}{R}$