Dimensional Formula of Tension

The dimensional formula of tension is given by,

M¹ L¹ T^-2

Where,

• M = Mass
• L = Length
• T = Time

Derivation

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.

⇒ Check Other Dimensional Formulas:

• Dimensions of Refractive Index
• Dimensions of Newton
• Dimensions of Power of Lens
• Dimensions of Gravitational Potential Energy
• Dimensions of Rotational Kinetic Energy

Tension and Relative Motion – Video Lesson