Question

A particle moves in a circle of radius 1m with speed of 1m/s. After completing half cycle, find out the average acceleration for the particle.

Answer 1

Answer:

$\frac{2}{\pi}m/s^2$

Explanation:

1) A particle moves in a circle of radius 1 m with speed 1 m/s.

After completing half cycle ,velocities at start and end are in opposite direction.

Direction positive : along final velocity

Hence,

$|\Delta v|=v_f-v_i=1-(-1)=2m/s$

2) Time taken ,

$\Delta t=\frac{\pi*r}{|v|}=\frac{\pi*1}{1} =\pi$

3) Average acceleration is given by

$a_{avg}=\frac{\Delta v}{\Delta t}= \frac{2}{\pi}m/s^2$