Dimensional Formula of Force Constant
The dimensional formula of force constant is given by,
[M1 L0 T-2]
Where,
- M = Mass
- L = Length
- T = Time
Derivation
Force Constant= Force × [Displacement]-1 . . . (1)
Since, Force = m × a
Therefore, the dimensions of force = [M1 L1 T-2] . . . (2)
And, the dimensional formula of displacement = [M0 L1 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Force Constant= Force × [Displacement]-1
= [M1 L1 T-2] × [M0 L1 T0]-1 = [M1 L0 T-2].
Therefore, the force constant is dimensionally represented as [M1 L0 T-2].
