A gear of radius 4 inches turns at 8 rpm. What is the linear velocity of a tooth of the gear in feet per minute to the nearest tenth?

1 Answer

16.755\ \text{feet/min}

Explanation:

The linear velocity of a gear of radius R=4inches =4/12=1/3 feet & rotating at N=8rpm is given as follows

v=2\pi N R

=2\pi\cdot 8\cdot 1/3

=16/3\pi

=16.755\ \text{feet/min}