A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240π inches per minute.What is the distance, in inches, between the particle and the fixed point?

In one revolution, the particle travels the circle’s circumference, 2πr inches. At 16 revolutions per minute, its linear velocity is 16(2πr) = 32πr inches per minute. Setting this equal to 240π gives r = 240π ÷ 32π = 7.5 inches, so the distance is 7.5 inches (choice B).

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