Question

A particle moves in a circle of radius $5cm$ with constant speed and time period $0.2\pi$ s. The acceleration of the particle is

• A. $0m/s^2$
• B. $36m/s^2$
• C. $5m/s^2$
• D. $15m/s^2$

Answer 1

The correct option is C $5m/s^2$

R.E.F image

$r=5cm=\frac{5}{100}m$

$T=0.2\pi sec$

$T=\frac{2\pi }{\omega }$

$\omega =\frac{2\pi }{0.2\pi }=10rad/sec.$

Acceleration $=$ centripetal acceleration

$\Rightarrow {\omega }^{2}r$

$\Rightarrow (10{)}^2\times \frac{5}{100}$

$\Rightarrow 5m/s^2$

Option (C)