Solved Example Problems for Circular Motion

Solved Example Problems for Circular Motion

Example 2.40

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.

Solution

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

Example 2.41

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.

Solution

Since the initial angular velocity is zero (ω0 = 0).

The angular displacement made by the particle is given by