The dimensional Formula of Tension is [MLT-2]
where,
- M represents Mass
- L represents Length
- T represents Time
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 the Dimensional Formula of Tension is, along with its derivation, with a brief introduction to its definition.
What is Tension?
Tension is a force that acts along a medium's length, such as a rope or thread. A force is needed to place these items under stress. An exciting pair, like an action-reaction pair, is another name for tension. The tension force is accessible at every point along the string. Hence, Tension is a force with a new and better name, it is nothing at all.
Formula of Tension
The tension experienced by an Object can be calculated by the tension formula on a body by multiplying the mass by acceleration and the product of mass and gravitational force.
T = mg + ma = (g + a)
Learn, Tension Formula
Derivation of Dimensional Formula of Tension
Tension is given as the 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 are given by multiplying the dimension of mass and acceleration.
- Dimension of Mass = [M1 L0 T0]
- Dimesnion of Acceleration = [M0 L1 T-2]
When we substitute the value of mass and acceleration into the 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.
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