Dimensional Formula of Tension
The dimensional formula of tension is given by,
M1 L1 T-2
- M = Mass
- L = Length
- T = Time
Since tension is a type of force, therefore, the dimensions of Tension = dimensions of Force
⇒ Force is given by, F = M × a . . . (1)
The dimensions of,
Mass = [M1 L0 T0] . . . . (2)
Acceleration = [M0 L1 T-2] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Force = M × a
Or, Tension = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2.
Therefore, the tension is dimensionally represented as M1 L1 T-2.