Your car's speedometer works in much the same way as its odometer, except that it converts the angular speed of the wheels to a linear speed of the car, assuming standard-size tires and no slipping on the pavement. 1) If your car has standard 24-in.-diameter tires, how fast are your wheels turning when you are driving at a freeway speed of 35 mph? Express your answer in revolutions per minute. 2) How fast are you going when your wheels are turning at 800 rpmrpm? Express your answer in miles per hour. 3) If you put on undersize 21-in.-diameter tires, what will the speedometer read when you are actually traveling at 40 mph? Express your answer in miles per hour.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
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Your car's speedometer works in much the same way as its odometer, except that it converts the angular speed of the wheels to a linear speed of the car, assuming standard-size tires and no slipping on the pavement. 

1) If your car has standard 24-in.-diameter tires, how fast are your wheels turning when you are driving at a freeway speed of 35 mph?

Express your answer in revolutions per minute.

 
2) How fast are you going when your wheels are turning at 800 rpmrpm?
Express your answer in miles per hour.
 
3) If you put on undersize 21-in.-diameter tires, what will the speedometer read when you are actually traveling at 40 mph?
Express your answer in miles per hour.
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