A mixing blade on a food processor extends out 6 inches away

A mixing blade on a food processor extends out 6 inches away from the center. If the blade is turning at 600 revolutions per minute, what is the linear velocity of the tip of the blade in feet per minute? Answer exactly, do not round. upsilon = ft/min

Solution

The blade is 6 inches from the center,
hence it can be written as .5 feet from the center.
The distance the blade tip travels per revolution is the circumference of a circle with radius .5 feet.
So the distance/rev = 2r = 2(.5) = ft
The linear velocity is expressed by:
v = ft/rev x rev/min
v= ft/rev x 600 rev/min
v= 600 ft/min