A race car starts from rest at point A on a flat, circular track. The driver pre

Question

A race car starts from rest at point A on a flat, circular track. The driver presses on the gas pedal such that the speed of the car increases at a constant rate of 7 MPH per second. The coefficient of static friction is 0.80 .

What is the time it takes the car to go from rest at point A to the point where the car begins to slide?
(include units with answer)

A race car starts from rest at point A on a flat, circular track. The driver presses on the gas pedal such that the speed of the car increases at a constant rate of 7 MPH per second. The coefficient of static friction is 0.80 . What is the time it takes the car to go from rest at point A to the point where the car begins to slide? (include units with answer)

Explanation / Answer

here ,

radius of track = 580 feet

radius of track = 176.8 m

Now , for centripetal force = friction force

m*v^2/r = u*mg

v^2/176.8 = 0.80 * 9.8

v = 37.23 m/s

Now, acceleration = 7 MPH /s

a = 3.13 m/s^2

Now , using first equation of motion

v = u +a*t

37.33 = 0 + 3.13 * t

t = 11.93 s

the time taken for the car to slip is 11.93 s

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