Question

A particle is moving along a circular path of radius $5m$ and with uniform speed $5m/s$. What will be the average acceleration when the particle completes half revolution?

• A. $\frac{10}{\pi }$
• B. $10\times \pi$
• C. $0$
• D. None of these

Answer 1

The correct option is A $\frac{10}{\pi }$

As the average acceleration is change in velocity over the time taken,

In this case

When the half revolution is over the direction in the speed changes by $180°$, So the change in velocity

$=5-(-5)$

$=10㎧$

The time taken to cover this distance

$=\frac{\pi r}{5}=\frac{5\pi }{5}=\pi$

(as the distance traveled is semicircle)

So, average acceleration n$=\frac{10}{\pi }㎧$