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A certain tire has a diameter of 80 cm and is rotating about an axis through...

A certain tire has a diameter of 80 cm and is rotating about an axis through its center. The tire starts from rest and increases speed at an acceleration rate of 25 rad/s^2.

a)How much time is required for the tire to complete its first 12 full revolutions of motion?

b) What is the tangential speed of a point on the outer edge of the tire at the same moment?

c) What are the tangential and radial components of the linear acceleration of a point on the outer edge of the tire at the same moment?

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