Dimensional Formula of Newton
The dimensional formula of Newton is given by,
[M1 L1 T-2]
- M = Mass
- L = Length
- T = Time
Newton is the SI unit of Force. Therefore, the dimensional formula of Newton is same as that of the force.
⇒ Force = Mass of body × Acceleration . . . . (1)
Since acceleration is the product of velocity and [time]–1
Or, acceleration = [LT-1] × [T]-1
Therefore, the dimensions of acceleration = [M0 L0 T-2] . . . . (2)
And, the dimensional formula of mass = [M1 L0 T0] . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Force (Newton) = Mass of body × Acceleration
Or, F = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2.
Therefore, Newton is dimensionally represented as M1 L1 T-2