GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A 20-kg uniform sphere with the length of 0.1 m. The axis of rotation located at the center of the sphere. What is the moment of inertia?
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0.99 kg. m2
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0.08 kg. m2
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0.09 kg. m2
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1.10 kg.m2
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Explanation:
Detailed explanation-1: -So, moment of inertia is 0.5 kgm².
Detailed explanation-2: -Using the formula for the moment of inertia of a uniform sphere, the moment of inertia of a thin spherical layer of mass m and radius R relative to the axis passing through its centre is I=x2mr2.
Detailed explanation-3: -Generally, for uniform objects, the moment of inertia is calculated by taking the square of its distance from the axis of rotation (r2) and the product of its mass. Now, in the case of non-uniform objects, we can calculate the moment of inertia by taking the sum of individual point masses at each different radius.
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