# What is Dimensional Formula of Coefficient of Viscosity?

Posted in Dimensional Formulae | Email This Post |Viscosity is defined as the ratio of force require to shear a liquid to the velocity of shear (Shear means when adjacent layers of liquid are made to slide over each other ).

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.

Mathematically,

**Coefficient of viscosity (η)= Fr/Av ——- *** F= tangential Force, Area, r= distance between the layers, v= velocity.*

Dimensional Formula of Force = M^{1}L^{1}T^{-2}.

Dimensional Formula of Area= M^{0}L^{2}T^{0}.

Dimensional Formula of distance= M^{0}L^{1}T^{0}.

Dimensional Formula of velocity= M^{0}L^{1}T^{-1}.

Putting these values in above equation we get,

**[η]= [M ^{1}L^{1}T^{-2}][M^{0}L^{1}T^{0}] / [M^{0}L^{2}T^{0}] [M^{0}L^{1}T^{-1}] = [M^{1}L^{-1}T^{-1}]**

**Dimensional Formula of Coefficient of viscosity (η)=[M^{1}L^{-1}T^{-1}]
SI unit of Coefficient of viscosity (η) is Pascal-second**

Is there any way that we could find the dimension of coefficient of viscosity by Stokes formula?

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what is the difference between viscosity and coefficient of viscosity?

what is the formula of viscosity

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What is stokes’ low

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SI unit of viscosity is poiseuille

130din/sec,its means?

Viscosity of liquids are noted as din/sec.

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But if we add all the raised values of L, M and T we should get the answer as L5 M1 T-3

What is the relation between SI unit and CGS unit of coefficient of viscosity

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