Overview
Use this tool for dimensional analysis and unit conversions between an input and output.
This program will show the quantity of the input unit and equivalent quantity with output units.
It will also show the physical base dimensions of each.
Controls
Click the single arrow button (→) to switch between editing the input and output units.
Click the double arrow button (⇄) to swap the input and output units.
Click the ✗ button to clear all units for the selected quantity.
The symbol \(\pi\) represents a unitless or dimensionless quantity.
Defining Units
Compound units are created by multiplying (×) the existing unit by another unit raised to an exponent.
For example, if you wanted to create the unit \(\frac{\text{mi}}{\text{hr}}\) you would first multiply by \(\text{miles}^{1}\) and then by \(\text{hour}^{-1}\).
Output units must match the \(\frac{\textbf{L}}{\textbf{T}}\) dimension.
Conversion
2 units can be converted only if they share the same base dimensions.
If they do, then you can enter a numeric value labeled Quantity to convert to the output units.
The conversion factor is shown in the middle.
Credits
Created by Nicolas Ventura using the dimensional NPM package.
This program is dedicated to my 11th grade physics teacher, Kipp Penovich, for our weekly conversion quizzes.
$$\text{Quantity}$$
$$\text{Dimensions}$$