Question

A wheel of mass $10kg$ has a moment of inertia of $160kg{m}^2$ about its own axis. The radius of gyration is :

• A. $10m$
• B. $4m$
• C. $5m$
• D. $6m$

Answer 1

Answer: (B)

$4m$

Given moment of inertia of the wheel about its axis is $160kg{m}^2$

$I=M{K}^2$ (K is the radius of gyration)

$160=10\times K^2$

$K=4m$

Radius of gyration of the wheel about its own axis is 4 m.