Dimensional Formula of Coefficient of Friction
The dimensional formula of coefficient of friction is given by,
[M0 L0 T0]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Coefficient of friction (μ) = Frictional Force × [Normal Force]-1 . . . . (1)
Since, Force (F) = Mass × acceleration = Mass × velocity × [Time]-1
And, velocity = Displacement × [Time]-1
∴ The dimensions of Force = [M] × [LT-1] × [T]-1 = [M1 L1 T-2] . . . . (2)
On substituting equation (2) in equation (1) we get,
Coefficient of friction (μ) = Frictional Force × [Normal Force]-1
Or, μ = [M1 L1 T-2] × [M1 L1 T-2]-1 = [M0 L0 T0].
Therefore, the coefficient of friction is dimensionally represented as [M0 L0 T0].
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