Moment of inertia of a uniform solid cylinder of radius 1m about its central axis is 1kg-m2. The moment of inertia of a uniform solid cylinder of the same mass, but of radius 2m about its central axis is (in kg-m2)
(in kg.m−2)
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Solution
Given,
Radius of solid cylinder 1(r1)=1m
Moment of inertia about central axis (I1)=1kg-m2
Radius of solid cylinder 2(r2)=2m
We know that I1=mr212 ⇒m=2kg ∴ Moment of inertia of solid cylinder 2 about central axis (I2)=mr222 =2×(2)22=4kg-m2