Online Tool Store
Dimensional Analysis Checker
Enter a formula with each variable's units to check whether both sides reduce to the same base dimensions, catching unit mistakes before you plug in numbers. Runs entirely in your browser.
🔒 This tool runs entirely in your browser. Your files are never uploaded to a server.
Example
Dimensional Analysis Checker
Sample equation
Example shown — replace it with your own formula and units.
Result
How it works
- Enter a formula along with the units of each variable.
- The tool reduces both sides to base SI dimensions.
- See whether the two sides balance, or where they don't.
The method
Each unit is expanded into its base dimensions (mass, length, time), multiplied or divided according to the formula, and the resulting dimension on each side is compared for equality.
FAQ
What is dimensional analysis?
A check that the units on both sides of a physics or engineering equation match up, used to catch formula mistakes before you even plug in numbers.
What units does this support?
The common SI base units — mass, length, time — and their standard derived combinations like force, energy, and pressure.
Does a passing check mean the formula is correct?
Not entirely — matching units confirms the formula is dimensionally consistent, but it doesn't verify the numeric constants or physical reasoning are right.
How we compare
| Feature | Online Tool Store | Manual unit tracking on paper | Physics textbook appendix lookup |
|---|---|---|---|
| No manual tracking | Yes | Manual | N/A |
| Instant, in-browser result | Yes | Slow | Reference only |
| Free to use | Yes | Yes | Yes |
For a quick sanity check on a formula before using it, this beats manually tracking units on paper.