Question

formula of critical velocity

Answer 1

Critical velocity is defined as the maximum velocity of a fluid above which a streamline flow changes to turbulent flow. In other words critical velocity the maximum velocity of fluid upto which its flow remains streamline and if the velocity of a fluid increases more than its critical velocity the flow of fluid becomes turbulent.

Mathematically,

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-

Answer 2

Answer:

Formula of critical velocity.

Explanation:

• What is critical velocity? Critical velocity is defined as the speed at which the falling object reach when the gravity and air resistance are equal on the object. In other words we can define critical velocity as- the greatest velocity with which the fluid can flow through a given conduit without becoming turbulent.
• Critical velocity depends on various factors such as Reynolds numbers, viscosity coefficient, the radius of the tube and density of the fluid flowing through the tube.
• Critical velocity is denoted by Vc.
• The unit to measure the critical velocity is m/s and the dimension in which critical velocity is given are-[M0 L1 T-1].
• The formula of critical velocity is- $Vt=\sqrt{\frac{2mg}{pACd} }$
• Were= Vt is terminal velocity, m is mass of object, g is acceleration, p is density, A is area of object and Cd is drag coefficient.

Hence, this is the formula of critical velocity.

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