What this tool covers
Use a single screen to confirm unit algebra, show substitutions for students, and derive Buckingham Π groups for experiments.
- Expand any unit expression to the SI base vector and compute the scale factor k.
- Analyse equations term by term, ensuring additions are homogeneous and function arguments are dimensionless.
- Build Π groups by solving the null space of the dimension matrix with integer exponents.
- Share results through CSV export or a copyable URL that stores the current state.
Explainable steps
Every substitution and comparison is written to How it’s calculated so lab notes stay auditable.
Consistent records
Keep inputs in the URL, export the latest steps as CSV, and attach evidence to assignment submissions.
Keyboard friendly
Press Enter to re-run, Ctrl/⌘+S to export CSV, and Ctrl/⌘+L to copy the shareable link.
Interactive calculator
Choose a mode, enter your variables, then review the annotated steps before exporting results.
Results
How it’s calculated
FAQ
- Can I confirm classic conversions like 1 L = 0.001 m³?
- Yes. Enter
Las the expression andm^3as the target. The tool expands L to m³, confirms the base vector matches, and reports the conversion factor 0.001000. - How do I spot invalid exponential arguments?
- Switch to Formula mode, add variables with their units, and run the check. Expressions such as
exp(g*t)trigger an error because g has dimensions, while ratios likesin(v/v0)succeed because the exponent is dimensionless. - What does a Π group example look like?
- For the pendulum variables T, L, and g you will see Π = g¹·T²·L⁻¹, indicating that gT²/L is the dimensionless combination that governs the system.
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