Dimensional Analysis Calculator

Dimensional analysis?

In chemistry, dimensional or unit analysis is a method of describing the connection between two measured quantities. it is also used to understand the direct courting between two physical portions or to specific one-of-a-kind measurement units in a single size unit to remedy the equations.

Example:

Determine the relationship between two physical quantities: 12 and 18.

Solution:

Given:

• Physical Quantity 1 = 12
• Physical Quantity 2 = 18

Step 1: Perform Unit Conversion (if necessary):

For this example, both quantities are already in the same units, so no conversion is needed.

Step 2: Express the Quantities in Ratio Form:

\(12 : 18\)

Step 3: Simplify the Ratio:

Divide both values by their greatest common divisor (GCD), which is 6:

\(12 : 18 = 2 : 3\)

Step 4: Compare the Quantities:

• Physical Quantity 1 is \(\frac{2}{3}\) or 0.6667 times Physical Quantity 2.
• Physical Quantity 2 is 1.5 times Physical Quantity 1.

Conclusion:

The simplified ratio between the two physical quantities is \(2 : 3\), with Physical Quantity 2 being 1.5 times larger than Physical Quantity 1.

Dimensional analysis chart:

How Dimensional analysis Calculator Works?

An online unit analysis calculator can do the unit conversion and find the ratios among quantities via following those steps:

Enter:

• First, enter the physical quantities and pick out the related gadgets from the drop-down list.
• Hit the calculate button to peer the outcomes.

Output:

• The dimensional evaluation calculator shows the ratio between the physical quantities.
• The calculator gives unit conversion, quantities in ratio form with stepwise calculations.

Reference: 

From the supply of Wikipedia: Concrete numbers and base devices, percentages, and derivatives, Conversion thing, Dimensional homogeneity.