6
QuizMultiple Choice

Linear and Angular Velocity

Question 6 • Common Core Precalculus - MA3112 Quarter 1

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90π inches per minute, what is the diameter, in inches, of the circular path?

Answer
A
5.625
B
6
C
11.25
D
12

Explanation

Convert 8 seconds to minutes: 8/60 = 2/15 minute. In one revolution, the object travels one circumference, so the circumference is (90π)(2/15) = 12π inches. Since circumference = π × diameter, the diameter is 12 inches, which is choice D.

AI-written and checked against the verified answer.

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