This dimensional analysis calculator takes the figures you already have and applies the relationship behind dimensional analysis calculations for you, giving value 1 (in converted unit) and value 1 from value 1 (in converted unit), value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1 and value 1.
What Is the Dimensional Analysis Calculator?
The dimensional analysis calculator converts value 1 (in converted unit), value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1 and value 1 between the units you need, so you do not have to hunt for a factor and work it out longhand.
Conversion factors are where unit mistakes happen, and a mistake here tends to propagate silently into everything calculated from it afterwards.
How the Dimensional Analysis Conversion Works
Each conversion uses the exact factor defined for the unit, so the answer is right to the precision you would normally quote.
Convert at one end rather than at several. Converting to a common unit first and then back again introduces rounding that you then have to carry through the rest of the calculation.
Getting the Units Right
Check that the unit you are converting from is the unit you actually measured in. Similar-looking units, particularly gallons and litres or ounces and grams, are the usual source of a factor-of-ten error.
Write down both the value and its unit. A number without a unit is not a measurement, it is a guess.
A Worked Example
Working through an example, with value 1 (in converted unit) set to 10, value 1 set to 5, value 1 set to 2, the calculator returns value 1 of 10, and value 1 (in converted unit) of 5, and value 1 (in converted unit) (qac3) of 2. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out value 1 (in converted unit)?
Enter value 1 (in converted unit), value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1 and value 1. The calculator then works through the relationship and reports value 1 (in converted unit) and value 1.
What does the dimensional analysis actually calculate?
It takes value 1 (in converted unit), value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1, value 1 and value 1 and converts them into value 1 (in converted unit) and value 1 using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter value 1 (in converted unit)?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Is the answer exact?
It is as exact as the formula and the inputs allow. The method itself is the standard one for this problem, so the only sources of error are the figures you enter and the precision you ask for.
Does anything you type get stored?
No. The whole calculation runs inside your browser, and nothing you enter is uploaded, logged or sent anywhere.