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 speed at which 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 speed at which the car begins to slide? (include units with answer)

Explanation / Answer

acceleration

a=7 MpH/s

since 1 MpH =0.44704 m/s

a=7*0.44704 =3.13 m/s2

Radius

r=580 ft

1 ft=0.3048 m

r=580*0.3048=176.8 m

centripetal force =frcitional force

mv2/r =umg

=>v =sqrt[u*r*g]=sqrt[0.8*176.8*9.8]

v=37.23 m/s

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