Question

An object of mass 493 g has a moment of inertia of 0.51 kg.m2 when it rotates around an axis. At what distance is the object from the axis, in units of meters?

Answer 1

The distance of the object from the axis is 1.02 m

Explanation:

The moment of inertia of a single point mass rotating about an axis is given by:

$I=mr^2$

where

I is the moment of inertia

m is the mass of the object

r is the distance of the object  from the axis of rotation

For the object in this problem, we have:

m = 493 g = 0.493 kg is the mass

$I=0.51 kg m^2$ is the moment of inertia

Solving for r, we find its distance from the axis:

$r=\sqrt{\frac{I}{m}}=\sqrt{\frac{0.51}{0.493}}=1.02 m$

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