Question

Calculate the dimensional formula for coefficient of viscosity?

Answer 1

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

Dimensional Formula of Force = M¹L¹T^-2.
Dimensional Formula of Area= M⁰L²T⁰.
Dimensional Formula of distance= M⁰L¹T⁰.
Dimensional Formula of velocity= M⁰L¹T^-1.

Putting these values in above equation we get,

[η]= [M¹L¹T^-2][M⁰L¹T⁰] / [M⁰L²T⁰] [M⁰L¹T^-1] = [M¹L^-1T^-1]

Dimensional Formula of Coefficient of viscosity (η)=[M¹L^-1T^-1]
SI unit of Coefficient of viscosity (η)is Pascal-second