Question

A body of mass $500g$ is revolving in a horizontal circle of radius $0.49m$. The centripetal force acting on it (if its period is $11sec$) will be

• A. $0.008N$
• B. $8.0N$
• C. $0.8N$
• D. $0.08N$

Answer 1

The correct option is D $0.08N$

Angular velocity of the body $\omega$ = $\frac{2\pi }{T}$

= $\frac{2\pi }{11}$ $\frac{rad}{sec}$

Centripetal force acting on the body = $\frac{m{v}^2}{r}$ = $m{\omega }^{2}r$

= $\left(\frac{1}{2}\right)\left(\frac{2\pi }{11}{)}^2\right(0.49)$

= $0.08$ $N$