Dimension of Tension and its Derivation | Tension Dimensional Formula

Dimension of Tension: Tension is a pulling force that acts along a medium that is being applied an external force. This tension acts axially i.e. along with length. The action-reaction pair of forces that are present at each end of the element can also be referred to as tension. The opposite of compression might be tension. Tension Dimensional Formula is

M¹L¹T ^-2

In this article, we obtain the Dimension of Tension along with its derivations.

Dimension of Tension

Dimension of Tension and Its Derivation

Since Surface Tension is a type of Force, the Dimension of Tension is equal to the Dimension of Force

$~=~{M^1L^1T^{-2}}$

Also read:

Dimension of Speed of Light

Dimension of Surface Tension

Derivation of Dimension of Tension

The Dimensional Formula is written as follows.

$~=~{M^{a}L^{b}T^{~c}}$

Where,

M represents Mass

L represents Length

T represents Time

and a, b and c are the powers of M, L and T respectively

Dimension of Mass = M¹L⁰T⁰

Dimension of Distance = M⁰L¹T⁰

Dimension of Time = M⁰L⁰T¹

Dimension of Velocity = M⁰L¹T^-1 (obtained by dividing Dimension of Distance by Dimension of Time)

Since we know that

Hence

$~=~{M^0L^1T^{-1}}/{M^0L^0T^{1}}$

$~=~{M^0L^1T^{-2}}$

Also, we know that

$~=~{M^1L^0T^{0}}~*~{M^0L^1T^{-2}}$

$~=~{M^1L^1T^{-2}}$

Hence, proved that the Dimension of Tension is M¹L¹T^-2

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