Practice Circular Motion in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Motion of an object along a circular path where the speed may be constant but the velocity is continuously changing direction, requiring a centripetal acceleration directed toward the centre of the circle.

A car on a circular track at constant speed is still acceleratingโ€”toward the center.

Example 1

easy
A car drives around a circular track of radius 50 \text{ m} at a constant speed of 10 \text{ m/s}. What is the centripetal acceleration?

Example 2

medium
A satellite orbits Earth at a radius of 6.8 \times 10^6 \text{ m} with a period of 5400 \text{ s}. What is its orbital speed and centripetal acceleration?

Example 3

medium
A point on the rim of a bicycle wheel (r = 0.35 \text{ m}) moves at 5 \text{ m/s}. What is the period of rotation and the centripetal acceleration?

Example 4

hard
A ball on a 0.8 \text{ m} string is swung in a vertical circle. What minimum speed must it have at the top of the circle so the string remains taut? Use g = 9.8 \text{ m/s}^2.