Question

What are the dimensional units of critical velocity?

Answer 1

Answer:

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Answer 2

Answer:

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Critical velocity (VC) = Re   η /  ρ  r    

Where

• Re = Reynolds number
• η = coefficient of viscosity
• ρ = density of fluid
• r = radius of tube.

Dimensional Formula of Reynolds number (Re) = M0L0T0

Dimensional Formula of coefficient of viscosity (η) =  M1L-1T-1

Dimensional Formula of Density of fluid (ρ) =M1L-3T0

Dimensional Formula of radius (r) = M0L1T0

Putting these values in above equation we get,

VC = [M0L0T0] [M1L-1T-1] / [M1L-3T0] [M0L1T0]

Dimensional Formula of Critical velocity(VC) = M0L1T-1

SI unit of Critical velocity(VC) is ms-1