Question

A particle moves uniformly in a circle of radius 25cm at two revolution per second. Find the acceleration of the particle in m/s^2

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.

hope it helps you
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Answer 2

Answer:

4 pi^2

Explanation: