Question

If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

Answer 1

This is the concept of speed:
ω=600 rev/min=600*2π rad/min=1200 rad/min
v=rω=70*1200π =84,000 in/min
converting the above in miles per hour we get:
84000 in/min
=(84000*1.6*10^(-5)*60)
=80.64 mph