Dimensions of Energy – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Dimensions of Energy

If force \([F]\), acceleration \([A]\) and time \([T]\) are chosen as the fundamental physical quantities. Find the dimensions of energy.
\([F][A^{-1}][T]\)
\([F][A][T]\)
\([F][A][T^2]\)
\([F][A][T^1]\)

Solution:

Energy has the dimensions of work, which is \(\text{Force} \times \text{displacement}\). Since displacement has the dimensions of \(text{acceleration} \times \text{time}^2 = [A][T^2]\), the dimensional formula of energy is \([F][A][T^2]\).

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