Dimensional Analysis Calculator

This dimensional analysis calculator allows you to determine the comparison and relationship between physical quantities. This dimensions converter does unit conversion and simplifies the ratios of particular quantities.

What is Dimensional Analysis?

In chemistry, dimensional or unit analysis is a method of describing the relationship between two measured quantities. It is usually used to understand the direct relationship between two physical quantities or to express two different measurement units in a single measurement unit to solve the equations.

How to do Dimensional Analysis?

Dimensional analysis can be performed by a dimensional analysis calculator to compare two measurement units. The user should perform the stepwise process of determining the relationship between two physical quantities in different measurement units.

For two physical quantities, convert the highest unit of measurement to the smallest unit of measurement, or convert the lowest unit of measurement to a higher unit.
Write the quantity in the form of a ratio to describe the dimensional relationship between two physical quantities.

However, an Online Proportion Calculator allows you to solve proportion problems and find the missing variable value in a given proportion.

Example:

Find the dimensional relationship between 250 centimeters and 10 inches?

Solution:

Dimension X = 10inches

Dimension Y = 250cm

Dimension conversions of Y into inches

1cm = 0.393701inches

Dimension y = 250 * 0.393701inches

Dimension y = 98.425inches

Dimensional analysis solver write the two quantities in Ratio form

10 : 98.425

1000000 : 9842525

Simplified Ratio

40000 : 393701

Now, dimensional analysis calculator convert the units into other form

X into centimeter

1inches = 2.54cm

Dimension X = 10 * 2.54cm

Dimension X = 25.4cm

Now, quantities in Ratio form

250 :25.4

2500 : 254

Simplified Ratio

127 : 1250

Dimension Y is 9.8425 times Dimension X

Dimension X is 0.1016 times Dimension Y

However, an Online Ratio Calculator allows you to find identical ratios by giving three out of four parts of two ratios.

Example:

Find the relationship between two different qualities 8 : 10.

Solution:

Physical Quantity 1 = 8

Physical Quantity 2 = 10

First-dimensional analysis calculator do unit Conversions with steps for both physical quantities

Physical Quantity 2 = 10000

Quantities in ratio form

8 : 10000

Simplified ratio

1 : 1250

Physical Quantity 1 is 0.0008 times Physical Quantity 2

Physical Quantity 2 is 1250 times Physical Quantity 1

Dimensional analysis chart:

Unit Name	Unit Symbol	Quantity Name	Dimension Symbol
Metre	m	Length	L
kilogram	kg	Mass	M
Second	s	Time	T
Ampere	A	Electric current	I
Kelvin	K	Thermodynamic temperature	Θ
Mole	mol	Amount of substance	N
candela	cd	Luminous intensity	J

How Dimensional Analysis Calculator Works?

An online unit analysis calculator can do the unit conversion and find the ratios between two quantities by following these steps:

Input:

First, enter the physical quantities and select the related units from the drop-down list.
Hit the calculate button to see the results.

Output:

The dimensional analysis calculator shows the ratio between the physical quantities.
The calculator provides unit conversion, quantities in ratio form with stepwise calculations.

Reference:

From the source of Wikipedia: Concrete numbers and base units, Percentages and derivatives, Conversion factor, Dimensional homogeneity.