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Understanding the Dimensions of Work: Dimensional Formula, Derivation and Related Concepts

Last Updated on Jul 31, 2023
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Exploring the Dimensional Formula of Work

In physics, we often represent physical quantities through their dimensions. The dimensional formula is a way to express these dimensions. So, what is the dimensional formula of work?

It's M 1 L 2 T -2

Let's break down what each symbol represents:

  • M stands for Mass
  • L denotes Length
  • T symbolizes Time

Derivation of the Dimensional Formula of Work

To understand the dimensional formula of work, we can start with a basic formula of work, which is Work (W) = Force × Displacement (equation 1).

Now, we know that Force is equal to Mass × acceleration, or M × [L T-2]. Hence, the dimensional formula of Force is M1 L1 T-2 (equation 2).

By substituting equation (2) in equation (1), we get:

Work = Force × Displacement

Or, W = [M1 L1 T-2] × [M0 L1 T0] = [M1 L2 T-2].

Hence, we can represent work dimensionally as [M1 L2 T-2].

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Frequently Asked Questions

The dimensional formula of Work is given by M1 L2 T-2.

In the dimensional formula of work, M represents Mass, L represents Length, and T represents Time.

Work is derived from the formula Work = Force × Displacement. By substituting the dimensional formula of Force (M1 L1 T-2) in this equation, we get the dimensional formula of work as [M1 L2 T-2].

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