8
QuizMultiple Choice

Linear and Angular Velocity — Quiz

Question 8 • Precalculus

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

Answer
A
10 comma 560 pi
B
pi
C
2 pi
D
5 comma 280 pi

Explanation

The circular path has circumference πd = 4π feet, so each revolution covers 4π feet. At 1,320 revolutions per hour, the object travels 1,320 × 4π = 5,280π feet per hour. Dividing by 5,280 feet per mile gives π miles per hour, so the correct choice is π.

AI-written and checked against the verified answer.

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