KinematicsHard

Question

If angular velocity of a rotating body depends on θ as ω = θ2 + 2θ, then its angular acceleration α at θ = 1 rad is :

Options

A.8 rad /s2
B.10 rad /s2
C.12 rad /s2
D.None of these

Solution

Give ω = θ2 + 2θ
= 2θ + 2
α = ω = (θ2 + 2θ)(2θ + 2)
at θ = 1
α = 12 rad / sec2

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