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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?

User Jbokkers
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1 Answer

4 votes

Answer:

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

User Akhalsa
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