Lesson: Angular SpeedMathematics
In this lesson, we will learn how to calculate the angular speed and velocity of a body moving in a circular path.
Sample Question Videos
A wheel of radius 8 inches is rotating at a rate of . What is the linear speed in inches per second of the wheel, the angular speed in revolutions per minute, and the angular speed in radians per second? Give your answers correct to two decimal places if necessary.
When burning data to a writable compact disc, the drive adjusts the angular speed in order to keep the linear speed constant where the data is being written. When writing along the outer edge of the disc, the angular speed of a drive is 4,800 rpm (revolutions per minute). Find the linear speed if the CD has a diameter of 120 millimeters. Give your answers in millimeters per minute correct to two decimal places if necessary.
A person is standing on the earth’s equator. Assuming the earth is a sphere with radius 3,960 miles, calculate their linear speed in miles per hour correct to two decimal places and their angular speed in radians per hour.