What is a Unit Conversion Formula?
A Unit Conversion Formula is a mathematical method used to convert a value from one unit to another without changing the actual quantity.Basic Rule:
- When converting from a higher unit to a lower unit, we multiply.
- When converting from a lower unit to a higher unit, we divide.
Example 1: Higher Unit to Lower Unit (Multiply)
1 meter = 100 centimeters To convert 3 meters into centimeters: 3 × 100 = 300 centimetersExample 2: Lower Unit to Higher Unit (Divide)
1000 grams = 1 kilogram To convert 5000 grams into kilograms: 5000 ÷ 1000 = 5 kilogramsExample (Common)
1 meter = 100 centimetersUnit Conversion Formula:
Centimeters = Meters × 100 If you have 3 meters: 3 × 100 = 300 cm The quantity remains the same, but the unit changes.Why Unit Conversion is Important for Engineers
Different unit systems are used for different projects. For example: SI, Metric and Imperial units. Without proper unit conversion, your calculations and drawings become inaccurate.The benefits of Unit Conversion are:
- Maintain accurate calculations
- Read international drawings/specifications
- Avoid design/measurement errors
- Accurately scale drawings
- Ensure safe and precise projects
Most Common Unit Conversion Formulas
| Quantity | From | To | Formula | Calculation | Result |
|---|---|---|---|---|---|
| Length | 1 meter | centimeters | m × 100 | 1 × 100 | 100 cm |
| Length | 1 inch | millimeters | in × 25.4 | 1 × 25.4 | 25.4 mm |
| Area | 1 square meter | square feet | m² × 10.764 | 1 × 10.764 | 10.764 ft² |
| Volume | 1 cubic meter | liters | m³ × 1000 | 1 × 1000 | 1000 L |
| Mass | 1 kilogram | grams | kg × 1000 | 1 × 1000 | 1000 g |
| Force | 1 Newton | kilogram-force | N × 0.102 | 1 × 0.102 | 0.102 kgf |
| Pressure | 1 bar | Pascal | bar × 100,000 | 1 × 100,000 | 100,000 Pa |
| Power | 1 horsepower | watts | HP × 746 | 1 × 746 | 746 W |
| Energy | 1 kilowatt-hour | joules | kWh × 3.6 × 10⁶ | 1 × 3.6 × 10⁶ | 3,600,000 J |
Unit Conversion in Mechanical Engineering
Mechanical engineers design a products using force, torque, motion and power, and therefore require accurate unit conversions during the design process.Common Mechanical Conversions
|
Quantity |
Unit Conversion |
|
Force |
1 N = 0.102 kgf |
|
Torque |
1 Nm = 0.737 lb-ft |
| Power |
1 HP = 746 W |
| Pressure |
1 bar = 100,000 Pa |
Example
A motor produces 6 HP. Convert it into watts.Unit Conversion Formula:
Watts = HP × 746Calculation:
6 × 746 = 4476 W So, the motor produces 4476 watts.Unit Conversion in Civil Engineering
Civil engineers use a variety of measurements. They require conversions to read engineering drawings correctly and to accurately estimate the quantity of material they will be using in construction projects.Common Civil Conversions
| Quantity |
Unit Conversion |
|
Length |
1 m = 3.281 ft |
| Area |
1 m² = 10.764 ft² |
|
Volume |
1 m³ = 35.315 ft³ |
| Load |
1 kN = 1000 N |
Example
Convert 12 cubic meters of concrete into cubic feet.Unit Conversion Formula:
ft³ = m³ × 35.315Calculation:
12 × 35.315 = 423.78 ft³Unit Conversion in Electrical Engineering
Electrical engineers use electrical units. Correct conversion while designing an electrical circuit and performing electrical power calculations is essential to an engineers ability to design the circuit correctly.Common Electrical Conversions
|
Quantity |
Unit Conversion |
|
Power |
1 kW = 1000 W |
| Voltage |
1 kV = 1000 V |
|
Current |
1 A = 1000 mA |
| Energy |
1 kWh = 3.6 × 10⁶ J |
Example
Convert 1.8 kW into watts.Unit Conversion Formula:
W = kW × 1000Calculation:
1.8 × 1000 = 1800 WUnit Conversion Formula in Design and CAD
Many designers who work with AutoCAD, SolidWorks, SketchUp, and Revit use various units when creating designs. Drawings can be presented in an inch format or they can be in millimeter or meter formats. Using the appropriate Unit Conversion Formula will assist designers in:- Correctly scaling drawings
- Converting client dimensions
- Maintaining the proper dimensions of the product
- Working with international standards.
Common Design Conversions
|
Quantity |
Unit Conversion |
| Length |
1 inch = 25.4 mm |
|
Length |
1 foot = 304.8 mm |
| Length |
1 meter = 1000 mm |
|
Area |
1 ft² = 0.093 m² |
Example
A product length is 2.5 inches. Convert it into millimeters. Unit Conversion Formula: mm = inches × 25.4Calculation:
2.5 × 25.4 = 63.5 mm So, the product length is 63.5 mm.Step-by-Step Method to Use a Unit Conversion Formula
- Identify the original unit.
- Identify the required unit.
- Find the correct Unit Conversion Formula.
- Multiply or divide as per the formula.
- Write the final value with the correct unit.
Example
Convert 90 centimeters into meters.Unit Conversion Formula:
m = cm ÷ 100Calculation:
90 ÷ 100 = 0.9 mQuick Reference Conversion Table
|
Unit |
Equivalent |
| 1 meter |
100 cm |
|
1 kilometer |
1000 m |
| 1 kilogram |
1000 g |
|
1 kW |
1000 W |
| 1 MPa |
1,000,000 Pa |
Tips to Avoid Conversion Errors
- Always put units in every calculation step
- Convert all measurements to the same unit before you begin
- Use SI units where possible
- Keep a conversion chart close by
- Double check the Unit Conversion Formula before your final answer