What is Dimensional Formula of Tension?
Tension is Dimensionally Represented as [M1 L1 T -2]
where,
- M represents Mass
- L represents Length
- T represents Time
Derivation of Dimensional Formula of Tension
Tension is given as sum of two forces. Hence, Tension in physical terms is actually a force. The dimensions of tension equal the dimensions of force.
Formula of Force is,
F = M × a
Dimensions of Force is given by muiltiplying dimension of mass and aceleration
- Dimension of Mass = [M1 L0 T0]
- Dimesnion of Acceleration = [M0 L1 T-2]
When we substitute value of mass and acceleration into equation, we get
Force = M × a
Dimesion of Tension = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2
Hence, M1 L1 T-2 is the dimensional representation of tension.
Dimensions of Tension
Dimensional Formula of Tension is [MLT-2]
Tension is a force experienced by objects such as rope or string when a mass is attached to it. It is given as the sum of the forces experienced by the string. Tension forces act in pairs of action and reaction. In this article, we will learn what is Dimensional Formula of Tension is, along with its derivation with a brief introduction to its definition.