Dimensional Balance · TheLucidSTEM

Interactive Simulator · Physical quantities and units

The Dimensional Balance

Every term in a correct physical equation reduces to the same combination of SI base units. Pick a candidate equation, weigh each side on the balance, and decide whether it is homogeneous. A balanced beam does not prove the equation is right, but an unbalanced one proves it wrong.

Mission Choose an equation, then predict balanced or not before you weigh it. Streak 0Best 0

Candidate equation

Are the two sides dimensionally balanced?

left side in base units–

right side in base units–

Reduce every quantity to kg, m, s, A and compare. If the powers differ, the equation cannot be correct.