linear velocity conversion problem

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A ford F-$150$ comes standard with tires that have a diameter of $25.7$ inches. If the owner decided to upgrade to tires with a diameter of $28.2$ inches without having onboard computer updated, how fast will the truck actually be travelling when the speedometer reads $75$ mph? Show solutions.

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Hint: With the standard tires, what is the angular velocity when the speedometer reads 75 mph? With the bigger tires, what is the linear velocity at this angular velocity?