Question

A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at 400 revolutions per minute, what is the linear velocity of the tip of the blade in feet per minute?

Answer 1

v = 418.88 feet/min

Explanation:

R = 2 inches = (2 inches)(1 feet / 12 inches) = 0.166 feet

ω = 400 rev/min = (400 rev/min)(2π rad / 1 rev) = 2513.28 rad/min

v = ?

We can apply the equation

v = ω*R ⇒ v = (2513.28 rad/min)*(0.166 feet) = 418.88 feet/min