Physics
Physics
Problem
A uniform disk of radius spins at an angular speed of . Calculate the linear speed of a point on the disk’s rim. Express your answer with appropriate units.Intuitive explanation
The key is connecting rotational and linear motion through the radius. Every point on a spinning object travels in a circle, and the farther from the axis, the faster it must move linearly to keep up with the rotation. Use the relationship , where is the angular speed and is the distance from the axis—the rim point is at maximum distance, so it has maximum linear speed.
Intuitive explanation
The key is connecting rotational and linear motion through the radius. Every point on a spinning object travels in a circle, and the farther from the axis, the faster it must move linearly to keep up with the rotation. Use the relationship , where is the angular speed and is the distance from the axis—the rim point is at maximum distance, so it has maximum linear speed.