Your car\'s speedometer works in much the same way as its odometer, except that

Question

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.

- If your car has standard 24.0 inch-diameter tires, how fast are your wheels turning when you are driving at a freeway speed of 58.0 mph?

- How fast are you going when your wheels are turning at 520 rpm?

- If you put on undersize 20.0 inch-diameter tires, what will the speedometer read when you are actually traveling at 50.0 mph?

Please help w all 3 parts - thank you!

Explanation / Answer

a)v=58mph=25.93m/s

Angular speed in rpm=v*60/(2r)=812.4rpm

b)v=520/812.4*25.93=16.6m/s=37.15 mph

c)The speed will increase and become=24/20*50=60mph

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