In Physics, Work is done when a force acting upon an object causes a displacement. The dimensional formula of work is identical to that of energy.
Formula: Work = Force × Displacement.
Dimensional Formula: [M L² T⁻²].
SI Unit: Joule (J).
Same dimension as: Energy, Heat, and Torque.
Step 1: The formula for Work is: Work = Force × Displacement
Step 2: Write the dimensions of Force and Displacement:
Step 3: Substitute them into the formula: Work = [M L T⁻²] × [L] Work = [M L² T⁻²]
The dimensional formula of work is [M L² T⁻²].
Energy (all forms: kinetic, potential, heat) and Torque have the exact same dimensional formula as work, which is [M L² T⁻²].
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