Question

A particle moves in a circle of radius 25 cm at 2 revolutions per second. The acceleration of the particle in _______ ${\pi }^{2}m/s^2$

Answer 1

Angular velocity of particle $w=2\pi f=2\pi \times 2=4\pi rad/s$

Radius $r=25cm=0.25m$

Acceleration $a=r{w}^2=0.25\times (4\pi {)}^2=4{\pi }^{2}m/s^2$