Question

A particle moves in a circle of the radius $25cm$ at two revolutions per second. The acceleration of the particle in $m/{sec}^2$ is:

• A. ${\pi }^2$
• B. $8{\pi }^2$
• C. $4{\pi }^2$
• D. $2{\pi }^2$

Answer 1

The correct option is C $4{\pi }^2$

Given, $Radius=25cm=0.25m$

Angular velocity $=\omega =2rev/s=2\times 2\pi rad/s=4\pi rad/s$

By the formula of acceleration:

$a=r{\omega }^2=o.25\times (4\pi {)}^2=4{\pi }^{2}m/s^2$