Question

A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of particle in m/s² is -



(a) p²



(b) 8p²



(c) 4p²



(d) 2p²

Answer 1

First up,SI unit of acceleration is (m)/(s^2);

Radius=25 cm;

Rotations per second or Angular Velocity=2 rotations/second;

Which is ( 720°/second) or

(4 πradians/second);

Now ,acceleration in m/s^2 units, is linear acceleration, right?

So what we need to do is find out acceleration with the help of angular displacement per second and radius.

=> acceleration

=(( Angular velocity)^2)× Radius

=> acceleration= ((4π)^2) ×(25) cm/sec^2

=>acceleration= 3947.84176 cm/sec^2

Or 39.4784176 m/sec^2

Since the question has lesser significant digits the answer is 39.48 m/sec^2.

(c) is the answer dear hope it helpful

P.S. i assumed that p means π