The dimensional formula for angular momentum | vedclass

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Question

(B) Angular momentum $(L)$ is defined as the product of linear momentum $(p)$ and the perpendicular distance $(r)$ from the axis of rotation.Mathemati

Vedclass · Accepted Answer

$M{L^2}{T^{ - 1}}$

Vedclass · Answer

(B) Angular momentum $(L)$ is defined as the product of linear momentum $(p)$ and the perpendicular distance $(r)$ from the axis of rotation.Mathematically,$L = p 	imes r$.Since linear momentum $p = m 	imes v$,where $m$ is mass and $v$ is velocity.The dimensional formula for mass $m$ is $[M]$.The dimensional formula for velocity $v$ is $[L{T^{ - 1}}]$.The dimensional formula for distance $r$ is $[L]$.Therefore,the dimensional formula for angular momentum is $[M] 	imes [L{T^{ - 1}}] 	imes [L] = [M{L^2}{T^{ - 1}}]$.

The dimensional formula for angular momentum is

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