Question

A body of mass 4 kg is moved in a circle of radius 1 m with a uniform speed of 10 rpm. The centripetal force acting on the body is about

• A. 44 N
• B. 4.39 N
• C. 440 N
• D. 22 N

Answer 1

The correct option is B 4.39 N

Given that

angular speed= $\omega =10rpm=\frac{\pi }{3}rad/sec$

Tangential velocity:

$v=\omega \ast r=\frac{\pi }{3}\ast 1=\frac{\pi }{3}m/sec$

Centripetal acceleration:

$a_c=\frac{v^2}{r}=\frac{{\pi }^2}{9}m/se{c}^2$

Centripetal force $=m\ast a_c=\frac{4{\pi }^2}{9}=4.39N$