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 حساب کریں 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.
- شیئر کریں نتائج through CSV export or a قابلِ کاپی URL that stores the current state.
Interactive calculator
Choose a mode, enter your variables, then review the annotated steps before exporting نتائج.
نتائج
حساب کیسے کیا گیا
عمومی سوالات
کیا میں اس ٹول سے مرکب اکائیوں کے درمیان تبدیلی کر سکتا ہوں؟
جی ہاں۔ یونٹ موڈ منتخب کریں، مرکب اکائی درج کریں، اور چاہیں تو ہدف اکائی دیں۔ ٹول جہتیں ملاتا ہے اور درست تبدیلی دکھاتا ہے۔
What does the equation consistency check validate?
Provide the equation and each variable’s unit. The checker expands every variable, computes dimensions for the left- and right-hand sides, and ensures additions and subtractions are between homologous dimensions. It also enforces that trig/exp/log arguments are dimensionless, so expressions such as exp(g*t) raise a flag while sin(v/v0) passes.
How are Buckingham Π groups generated?
In the Π-groups mode, list the variables and their units. The tool forms the 7×n dimension matrix, computes its null space, and returns an integer basis for the dimensionless products. For a pendulum with T, L, and g it produces Π = g^1·T^2·L^-1, matching textbook derivations.
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تبصرے
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