Question

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

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

Answer 1

The correct option is C

$4{\pi }^2$

Since n = 2, $\omega =2\pi \times 2=4\pi rad/s^2$
So acceleration $={\omega }^{2}r=(4\pi {)}^2\times \frac{25}{100}m/s^2=4{\pi }^2$