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Motion In A Plane

Question
CBSEENPH11026172

A wheel has angular acceleration of 3.0 rad/s2 and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of

  • 6

  • 10

  • 12

  • 4

Solution

B.

10

According to Kinematic equations for uniformly accelerated motion

θ = ωo t + 12α t2

Where ,The angular acceleration is α = 3 rad/s2

the initial angular speed is ωo =  2 rad/s

The time is t = 2 s

Given:- α = 3.0 rad/s2 , ωo = 2.0 rad/s, t = 2 s

Hence

θ = 2 × 2 + 12 × 3 × 22

θ = 4 + 6

θ = 10 rad