Question

If a body of mass $0.10kg$ is moving on circular path of diameter $1.0m$ at the rate of $10$ revolutions per $31.4sec$, then centripetal force acting on the body ($\pi =3.14$) is

• A. 0.2 N
• B. 2.0 N
• C. 0.02 N
• D. 20.0 N

Answer 1

The correct option is A 0.2 N

Centripetal force acting on a body having angular velocity $\omega$ and radius of circle 'r' is

$\omega =\frac{\theta }{t}=\frac{10\times 2\pi }{31.4}=2rad/s$

$F=m{v}^2/r=mr{\omega }^2$
$F=0.1\times 0.5\times 2^2$

$=0.2N$