Dimensional Analysis Calculator

What is dimensional analysis?
Dimensional or unit analysis is the method to describe the relationship between two measuring quantities. It’s often used to represent the two different measuring units into a single measuring unit to solve equations or to understand the direct relationship between two physical quantities.

How to perform dimensional analysis?
The dimensional analysis can be accomplished to compare the two measure of units. Users are required to follow these below step-by-step procedure to find the relationship between two physical quantities in different measure of units.

1. In the two physical quantities, convert the higher measure of unit in to lower unit or lower measure of unit in to higher unit
2. Write the quantities in ratio form to describe the dimensional relationship between the two physical quantities.

How to perform dimensional analysis by using this calculator?
Follow the below step-by-step procedure to find the relationship between two measure of physical quantities by using this dimensional analysis calculator. Users can analyze the dimensional relationship between any combination of these measure of units such as inch, feet, yard, furlong, mile, kilometer, meter, centimeter or millimeter. Users can use this unit analysis calculator to verify the results, solve homework and assignment problems.

1. Enter the value and choose the measure of unit for the physical quantity Dimension-A.
2. Enter the value and choose the measure of unit for the physical quantity Dimension-B.
3. Hit on the CALCULATE button to get the dimensional analysis between two physical quantities along with step-by-step work.

Find the dimension relationship between 10 inches and 250 centimeters.?
Input :
Dimension-A = 10in
Dimension-B = 250cm

Convert Dimension-B into inches
1cm = 0.393701in
Dimension-B = 250 x 0.393701in
Dimension-B = 98.42525in

Write the two quantities in Ratio form
10 : 98.42525
1000000 : 9842525

Simplified Ratio
40000 : 393701

Convert Dimension-A into centimeter
1in = 2.54cm
Dimension-A = 10 x 2.54cm
Dimension-A = 25.4cm

Write the two quantities in Ratio form
25.4 : 250
254 : 2500

Simplified Ratio
127 : 1250

Dimension-B is 9.8425 times Dimension-A
Dimension-A is 0.1016 times Dimension-B