Moment of inertia of a body about a given axis is 1.5 k g m 2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J , the angular acceleration of 20 r a d / s 2 mu

Question

Moment of inertia of a body about a given axis is 1.5 k g m 2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J , the angular acceleration of 20 r a d / s 2 must be applied about the axis for a duration of:

TestHub · Accepted Answer

We know that, Rotational kinetic energy, K = 1 2 I ω 2 ⇒ 1 2 I ω 2 = 1200 ⇒ 1 2 × 1 .5 × ω 2 = 1200 ⇒ ω = 40 rad s - 1 We also know that, ω = α t ⇒ t = 40 20 = 2 s

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