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.

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.