Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged in the tire tread 17 inches from the center of the wheel. What is the angular velocity of the nail in radians per hour? 242258.8235 radians per hour How many revolutions does the nail make every minute? 22832356.21 revolutions per minute HINT: Recall that 12 inches make a foot and 5280 feet make a mile!

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 37CT
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Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged in the tire
tread 17 inches from the center of the wheel. What is the angular velocity of the nail in radians per hour?
242258.8235
radians per hour
How many revolutions does the nail make every minute?
22832356.21
revolutions per minute
HINT: Recall that 12 inches make a foot and 5280 feet make a mile!
Transcribed Image Text:Suppose a car runs over a nail while driving at a speed of 65 miles per hour, and the nail is lodged in the tire tread 17 inches from the center of the wheel. What is the angular velocity of the nail in radians per hour? 242258.8235 radians per hour How many revolutions does the nail make every minute? 22832356.21 revolutions per minute HINT: Recall that 12 inches make a foot and 5280 feet make a mile!
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