Dimensional Formula of Stress
Dimensionally Stress is defined as [M 1L -1T -2]
Derivation of Dimensional Formula of Stress
Let us see that how the above mentioned dimensional formula has been obtained. As, we know that, mathematically, stress is force per unit area. So, we write it as follows.
Stress = Force/Area
Now, Force = Mass X Acceleration, so dimensional formula of force comes out to be [M1 L1 T-2]. And, dimensional formula of Area is [M0 L2 T0]. Hence,
Dimensional Formula of Stress = [M1 L1 T-2] / [M0 L2 T0] = [M1 L-1 T-2]
Thus, we derive the dimensional formula of stress as [M L-1 T-2].
Dimensional Formula of Stress
Dimensional Formula of Stress is M1L-1T-2
Dimensional Formula is an expression that defines the power of fundamental quantities, i.e. Mass, Length, and Time in units of a quantity. Every physical quantity has its dimensional formula. Other fundamental quantities such as electric current (A) and thermodynamic temperature (K) are also used in the dimensional formula of some quantities.
In this article, we will learn about the dimensional formula of stress and how to derive it.
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