A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest

Chapter 5, Problem 26P

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QUESTION:

Problem 26P

A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 320 km/h in a semicircular arc with a radius of 220 m. Determine the tangential and radial acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration. If the curve were flat, what would the coefficient of static friction have to be between the tires and the road to provide this acceleration with no slipping or skidding?

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QUESTION:

Problem 26P

A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to 320 km/h in a semicircular arc with a radius of 220 m. Determine the tangential and radial acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration. If the curve were flat, what would the coefficient of static friction have to be between the tires and the road to provide this acceleration with no slipping or skidding?

ANSWER:

Solution 26P

Step 1 of 5:

A car accelerates from rest to the final speed v and makes a semicircular arc of radius r. We are going to find the tangential, radial acceleration of the car. And the static friction between the tires and the road to provide the acceleration without slipping.

The initial speed vo = 0

The final speed v = 320 km/h = 88.89 m/s

The acceleration due to gravity g = 9.8 m/s2

The radius of the circular path r = 220 m

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