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how is the dimensions of angular frequency and velocity gradient same

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Velocity gradient is variation in velocity among the adjacent layers of the fluid
\begin{aligned} \text { veiocity gradient }: \frac{\Delta V}{\Delta x} &=\frac{\text { meter }}{\text { second }} \times \frac{1}{\text { meter }} \\ &=\frac{1}{\text { second }} \end{aligned} 
Dimension of velocity gradient is \left[\mathrm{M}^{\circ} \mathrm{L}^{\circ} \mathrm{T}^{-1}\right]$
which is same as that of Angular frequency.

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Satyajeet Kumar

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