Dimensional Formula of Force
The dimensional formula of force is given by,
[M1 L1 T-2]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Force = Mass × Acceleration . . . . (1)
Since, acceleration = velocity × [time]–1 = [LT-1] × [T]-1
Therefore, the dimensional formula of acceleration = [LT-2] . . . . (2)
On substituting equation (2) in equation (1) we get,
Force = m × a
Or, F = [M] × [L1 T-2] = M1 L1 T-2.
Therefore, Force is dimensionally represented as M1 L1 T-2.
