Physics

Physics

Problem

A uniform disk of radius 0.40 m0.40\,\text{m} spins at an angular speed of 6.0 rad/s6.0\,\text{rad/s}. 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 v=ωrv = \omega r, where ω\omega is the angular speed and rr 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 v=ωrv = \omega r, where ω\omega is the angular speed and rr is the distance from the axis—the rim point is at maximum distance, so it has maximum linear speed.

Browse the problem library