Momentum and CollisionHard

Question

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

Options

A.6
B.10
C.12
D.4

Solution

Given : initial angular speed,
ωo = 2rad/s, angular acceleration,
α = 3 rad / s2, time, t = 2s
Form the equation of the angular displacement,
θ = ωot + αt2 = 2 × 2 + × 3 × (2)2
= 4 + 6 = 10 radians

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