Problem 11PE

A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 30 m. If he completes the 200 m dash in 23.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration as he runs the curved portion of the track?

Solution to 11PE

Step 1 of 3

We are asked to calculate the magnitude centripetal acceleration of a runner who is running a 200m distance on a circular track of radius 30m in 23.2s. His speed is constant throughout the race. Thus, the speed of the runner will remain constant in the circular track as well.

We have to use the concept of circular motion to find the acceleration.