Dimensional Formula of Coefficient of Viscosity
The dimensional formula of Coefficient of Viscosity is given by,
M1 L-1 T-1
- M = Mass
- L = Length
- T = Time
Coefficient of viscosity (η) = F × r × [A × v]-1 . . . . . (1)
Where F = tangential force, r = distance between layers, A = Area, and v = velocity
Since, Tangential Force (F) = Mass × Acceleration = M × [L T-2]
∴ The dimensional formula of force = M1 L1 T-2 . . . . (2)
And, the dimensional formula of area and velocity = L2 and L1 T-1 respectively . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Coefficient of viscosity = F × r × [A × v]-1
Or, η = [M L T-2] × [L] × [L2]-1 × [L1 T-1]-1 = [M1 L-1 T-1].
Therefore, the Coefficient of Viscosity is dimensionally represented as [M1 L-1 T-1].