A car at the indianapolis-500 accelerates uniformly from the pit area, going from rest to 335 km/h in a semicircular arc with a radius of 194 m. determine the tangential acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration.

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A car at the indianapolis-500 accelerates uniformly from the pit area, going from rest to 335 km/h in a semicircular arc with a radius of 194 m. determine the tangential acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration.

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Reese Irwin · Answer 1

From the data given;

Speed at half-turn = 335 km/h = 93.0556 m/s

Distance traveled = 1/2*πD = 1/2*2*194 = 609.47 m

Now, radial acceleration (ar)

ar = v^2/R

Substituting;

ar = 93.0556^2/194 = 44.64 m/s^2