3
QuizMultiple Choice

Linear and Angular Velocity

Question 3 • Common Core Precalculus - MA3112 Quarter 1

An object travels in a circular path that has a diameter of 4 feet. The object makes 1,320 revolutions per hour.What is the linear velocity, in miles per hour, of this object? (Note: 1 mile = 5,280 feet)

Answer
A
π
B
2π
C
5,280π
D
10,560π

Explanation

Each revolution covers the circle’s circumference: π × 4 = 4π feet. At 1,320 revolutions per hour, the object travels 1,320 × 4π = 5,280π feet per hour. Converting to miles per hour gives 5,280π ÷ 5,280 = π, so the linear velocity is π miles per hour.

AI-written and checked against the verified answer.

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