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
Harish Chandra Rajpoot
Jul 5, 2018

#16.755\ \text{feet/min}#

Explanation:

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

#v=2\pi N R#

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

#=16/3\pi#

#=16.755\ \text{feet/min}#

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