Solved Example Problems for Circular Motion
A particle moves in a circle of radius 10 m. Its linear speed is given by v = 3t where t is in second and v is in m s-1.
a) Find the centripetal and tangential acceleration at t = 2 s.
b) Calculate the angle between the resultant acceleration and the radius vector.
The linear speed at t = 2 s
The centripetal acceleration at t = 2 s is
The angle between the radius vector with resultant acceleration is given by
A particle is in circular motion with an acceleration α = 0.2 rad s−2.
a) What is the angular displacement made by the particle after 5 s?
b) What is the angular velocity at t = 5 s?. Assume the initial angular velocity is zero.
Since the initial angular velocity is zero (ω0 = 0).
The angular displacement made by the particle is given by