A quantity x is given by left( IF v^{2} / WL | vedclass

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Question

$x=\frac{I F V^{2}}{W L^{4}}$

$[ x ]=\frac{\left[ ML ^{2}\right]\left[ MI T ^{-2}\right]\left[ L T ^{-1}\right]^{2}}{\left[ ML ^{2} T ^{-2}\right][

Vedclass · Accepted Answer

Energy density

Vedclass · Answer

$x=\frac{I F V^{2}}{W L^{4}}$

$[ x ]=\frac{\left[ ML ^{2}\right]\left[ MI T ^{-2}\right]\left[ L T ^{-1}\right]^{2}}{\left[ ML ^{2} T ^{-2}\right][ L ]^{4}}$

$[ x ]=\left[ ML ^{-1} T ^{-2}\right]$

[Energy density] $=\left[\frac{ E }{ V }\right]$

$=\left[\frac{M L^{2} T^{-2}}{L^{3}}\right]$

$=\left[ ML ^{-1} T ^{-2}\right]$

Same as $x$

A quantity $x$ is given by $\left( IF v^{2} / WL ^{4}\right)$ in terms of moment of inertia $I,$ force $F$, velocity $v$, work $W$ and Length $L$. The dimensional formula for $x$ is same as that of

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