Rotational Velocity & Acceleration Video Lessons

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Problem: A penny is placed at the outer edge of a disk (radius = 0.147 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.70 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk.

FREE Expert Solution

In this problem, we consider the equation:

Frictional force=Centripetal force

This can also be expressed as:

μmg=mω2Rμg=ω2Rμ=ω2Rg

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Problem Details

A penny is placed at the outer edge of a disk (radius = 0.147 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.70 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk.

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