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:

Question

Moment of inertia of a body about a given axis is 1.5 &#160; k g &#160; m 2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 &#160; J , the angular acceleration of 20 &#160; r a d / s 2 must be applied about the axis for a duration of:

Aicharya · Accepted Answer

We know that,

Rotational kinetic energy, $K = \frac{1}{2} I ω^{2}$

$\Rightarrow \frac{1}{2} I ω^{2} = 1200$
$\Rightarrow \frac{1}{2} \times 1 .5 \times ω^{2} = 1200$
$\Rightarrow ω = 40 rad s^{- 1}$

We also know that, $ω = α t$
$\Rightarrow t = \frac{40}{20} = 2 s$

Moment of inertia of a body about a given axis is 1.5   k g   m 2 . Initially the body is at rest.…

Solution

Moment of inertia of a body about a given axis is 1.5 &#160; k g &#160; m 2 . Initially the body is at rest.…

Solution

Moment of inertia of a body about a given axis is 1.5 k g m 2 . Initially the body is at rest.…