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A car at the Indianapolis 500 accelerates uniformly, going from rest to in a semicircular arc with a radius of . Find the tangential and radial acceleration of the car when it is halfway through the arc, assuming constant tangential acceleration. If the curve were flat, what coefficient of static friction would be necessary between the tires and the road to provide this acceleration with no slipping or skidding?
For each of the cases described below, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector. A car slows down while rounding a curve of constant radius.
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Our task is to draw a diagram of the body motion, and mark and show the required vectors by the task's conditions.
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