Question
A car travels on a flat, circular track of radius 200 m at 30 m/s and has a centripetal acceleration = 4.5 m/s2. a) If the mass of the car is 1000 kg, what frictional force is required to provide the acceleration? b) If the coefficient of static friction is 0.8, what is the maximum speed at which the car can circle the track?
Solution
Here given,
Radius, r = 200 m
Velocity, v = 30 m/s
Centripetal acceleration, a = 4.5 m/s2
Mass, m = 1000 kg
Frictional force required, F = ?
Frictional force is the same as accelerating force.
Therefore,
a) ma = 1000
=4500 N
b) Coefficient of static friction,
Maximum speed, v = ?
Radius, r = 200 m
Velocity, v = 30 m/s
Centripetal acceleration, a = 4.5 m/s2
Mass, m = 1000 kg
Frictional force required, F = ?
Frictional force is the same as accelerating force.
Therefore,
a) ma = 1000
=4500 N b) Coefficient of static friction,
Maximum speed, v = ?
