A typical running track is an oval with 74-m-diameter half circles at each end. A runner going once around the track covers a distance of 400m . Suppose a runner, moving at a constant speed, goes once around the track in 1 min 40 s. What is her centripetal acceleration during the turn at each end of the track?

The acceleration towards the center will be

Explanation:

Given the running track is an oval shape, and the diameter of each half-circle is 74 meters.

Also, the runner took 1 minute and 40 seconds to complete 400 m one round of the track.

We need to find the acceleration towards the center.

First, we will find the speed.

Where is the speed.

is the distance covered by the rider that is 400 meters.

is the time taken by the rider to complete the lap which is 1 minute and 40 seconds.   seconds.

So,

And

Where is the acceleration towards the center.

is the radius which will be the half of the diameter 74 meters.

Hence, the radius will be 37 meters.

So, the centripetal acceleration of the rider will be