If the tires start to skid when the car reaches a speed of 34.3 m/s, what is the coefficient of static friction between the tires and the road?

Question

To test the performance of its tires, a car travels along a perfectly flat (no banking) circular track of radius 234 m. The car increases its speed at uniform rate of at ≡ d |v| divided by dt = 3.01 m/s 2 until the tires start to skid. If the tires start to skid when the car reaches a speed of 34.3 m/s, what is the coefficient of static friction between the tires and the road? the acceleration of gravity is 9.8 m/s 2 .

Answer 1

μmg = mv²/r; μ = v²/(rg) = 34.3²/(234·9.8) = 0.513