A 1500-kg vehicle travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m.
[A] What is the magnitude of the acceleration of the vehicle?
[B] What is the average velocity of the vehicle during one revolution?
[C] What is the period (T) of the vehicle?
[D] What is the magnitude of the centripetal force?
Part A.
Centripetal acceleration is given by:
ac = V^2/R
V = 22 m/sec
R = 85 m
So,
ac = 22^2/85
ac = 5.69 m/sec^2
Part B.
Average velocity is given by:
Avg velocity = displacement/time taken
Since in one revolution, displacement = 0
So,
Avg Velocity = 0 m/sec
Part C.
Period of vehicle is given by:
T = 2*pi/w
w = angular velocity = V/R
So,
T = 2*pi*R/V
T = 2*pi*85/22
T = 24.3 sec
Part D.
Centripetal force will be
Fc = m*ac
Fc = 1500*5.69
Fc = 8535 N
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