Why is the radius or distance from axis of rotation squared as in \[I = mr_{cm}^2 \]

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Why is the radius or distance from axis of rotation squared as in \[I = mr_{cm}^2 \]

Physics
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its a rotational analogue to mass (inertia) drawn from the equation for torque
F=ma T=Fr Fr = mar a=r(alpha) hence T=mr^2 (alpha)
T is to force what alpha is to a, hence the analogue of mass is the moment of inertia (mr^2)

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this is because in rotational mechanics the mass is equivalent to the moment of inertia. and the term r is squared because I is moment of inertia and the axis of rotation if taken along some axis then the distance should be positive. theoretically...

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