10
QuizMultiple Choice

Linear and Angular Velocity — Quiz

Question 10 • Precalculus

A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?

Answer
A
2 comma 160 pi
B
4 comma 320 pi
C
720 pi
D
120 pi

Explanation

The blade tip travels one circumference in each revolution. With a diameter of 36 inches, the circumference is π × 36 = 36π inches. At 60 revolutions per minute, its linear velocity is 36π × 60 = 2,160π inches per minute, so the correct choice is 2,160π.

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