Dimensional Formula of Velocity Gradient
The dimensional formula of velocity gradient is given by,
[M0 L0 T-1]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Velocity Gradient = velocity × [distance]-1 . . . . . . (1)
The dimensional formula of velocity = [M0 L1 T-1] . . . . (2)
And, the dimensional formula of distance = [M0 L1 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Velocity Gradient = velocity × [distance]-1
Or, V = [M0 L1 T-1] × [M0 L1 T0]-1 = [M0 L0 T-1]
Therefore, Velocity gradient is dimensionally represented as [M0 L0 T-1].
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