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Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire...

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Advance Math

Suppose your vehicle’s speedometer is geared toaccurately give your speed only using a certain tire size: 17”diameter wheels (the metal part) and a 6.5” tires (thickness ofrubber part).

a. If your vehicle’s instruments are properly calibrated, howmany times should your tire rotate per second if you are travellingat 55 miles per hour?

b. Now find the angular speed from part a.

c. Suppose you bought new 7.1” tires for your 17” diameterwheels. You took the for a test run and drove at a constant speedof 55 miles per hour (according to your vehicle’s instrument).However, a law enforcement officer stopped you and claimed that youwere speeding in a 55 miles per hour zone. How fast did theofficer’s radar clock you at, in miles per hour?

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