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].

⇒ Check Other Dimensional Formulas:

• Dimensions of Magnetic Flux
• Dimensions of Heat Energy
• Dimensions of Kinematic Viscosity
• Dimensions of Universal Gas Constant
• Dimensions of Gravitational Potential Energy