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The Complete Engineering Unit Converter Guide

Master unit conversions with this definitive engineering reference. Covers length, area, volume, pressure, power, flow rate, temperature, energy, and velocity with interactive tools, conversion tables, formulas, and real-world examples.

Enginist Engineering Team
Professional engineers specializing in HVAC, mechanical, and electrical systems with combined 50+ years of experience in international projects requiring multi-system unit conversions.
Reviewed by Licensed Professional Engineers
Published: November 3, 2025
Updated: November 26, 2025

Table of Contents

The Complete Engineering Unit Converter Guide

Quick AnswerHow do you convert engineering units?
Convert using standard factors: 1 HP = 0.7457 kW, 1 bar = 14.504 psi, 1 m³/h = 4.403 GPM, 1 BTU/h = 0.2931 W. Temperature: °C = (°F - 32) × 5/9. Always specify gauge vs absolute per NIST SP 811.
Example

100 GPM at 50 psi = 22.7 m³/h at 3.45 bar

Introduction

Unit conversion is the foundation of engineering communication. Whether you're designing an HVAC system with American equipment specifications, analyzing a European pump curve, or reviewing historical calculations from decades past—the ability to convert between unit systems accurately separates professional engineers from amateurs.

This comprehensive guide serves as your definitive reference. We cover not just conversion tables, but the deep understanding of measurement systems, their origins, and critical nuances that prevent costly errors.

Try our Unit Converter Calculator for instant, accurate conversions. Export your results as a professional PDF report for documentation or client deliverables—a feature you won't find on other engineering tools.

Why Does Unit Conversion Mastery Matter?

Per NIST SP 811 guidelines, consistent unit handling prevents measurement errors that can cascade through engineering calculations. IEEE Standard 260.1 and ISO 80000-1:2022 establish international conventions for quantity symbols and unit notation that ensure unambiguous technical communication.

Safety-Critical Applications

A 125 million USD Mars Climate Orbiter was lost in 1999 because one team used metric units while another used imperial. In pressure vessel design, gauge/absolute pressure confusion can lead to catastrophic failure.

These aren't theoretical concerns—they're documented disasters that our engineering team sees reflected in real project specifications every day.

International Collaboration

Modern engineering is global. A project might use German pumps (rated in bar and m³/hr), American chillers (rated in tons and GPM), and Japanese controls (rated in kW and L/min). Seamless conversion isn't optional—it's essential.

Equipment Specification

Manufacturers worldwide use different unit systems. Understanding conversions means you can:

  • Compare equipment from different regions accurately
  • Verify that installed equipment meets specifications
  • Troubleshoot performance issues by checking actual vs rated conditions

Code Compliance

Building codes, safety standards, and specifications often require specific units. ASHRAE uses IP (inch-pound) units, European standards use SI, and many local codes use practical metric variants.


What Are the Three Major Unit Systems?

SI (Système International d'Unités)

The International System of Units is the modern standard, adopted by almost every country except the United States, Myanmar, and Liberia for everyday use.

Seven Base Units:

QuantityUnitSymbol
Lengthmeterm
Masskilogramkg
Timeseconds
Electric currentampereA
TemperaturekelvinK
Amount of substancemolemol
Luminous intensitycandelacd

Key Characteristics:

  • Coherent: Derived units follow directly without conversion factors (1 N = 1 kg·m/s²)
  • Decimal: Prefixes scale by powers of 10 (kilo = 10³, milli = 10⁻³)
  • Universal: Same units worldwide, reducing confusion

Metric (Practical Engineering Units)

While SI is the standard, engineers often use "practical metric" units that are more convenient for everyday calculations:

SI UnitPractical MetricConversion
Pascal (Pa)bar1 bar = 100,000 Pa
m³/sm³/hr, L/min1 m³/s = 3600 m³/hr
Joule (J)kWh1 kWh = 3.6 MJ
Kelvin (K)Celsius (°C)°C = K - 273.15

Imperial/US Customary

Used primarily in the United States and for historical British Commonwealth equipment:

Common Engineering Units:

  • Length: inch (in), foot (ft), mile
  • Mass: pound (lb), ounce (oz), ton
  • Pressure: psi (lb/in²), inches of water (in. wc)
  • Power: horsepower (hp), BTU/hr
  • Flow: GPM (gallons per minute), CFM (cubic feet per minute)

Important Note: US and UK systems differ for volume:

  • US gallon = 3.785 liters
  • UK (Imperial) gallon = 4.546 liters

Length Conversions

Complete Conversion Table

From → Tommcmmkminftydmile
1 mm10.10.0011×10⁻⁶0.039370.0032810.0010946.21×10⁻⁷
1 cm1010.011×10⁻⁵0.39370.032810.010946.21×10⁻⁶
1 m100010010.00139.373.2811.0946.214×10⁻⁴
1 km1×10⁶1×10⁵1000139,370328110940.6214
1 in25.42.540.02542.54×10⁻⁵10.083330.027781.578×10⁻⁵
1 ft304.830.480.30483.048×10⁻⁴1210.33331.894×10⁻⁴
1 yd914.491.440.91449.144×10⁻⁴36315.682×10⁻⁴
1 mile1.609×10⁶1.609×10⁵16091.60963,360528017601

Key Conversion Formulas

Metric to Imperial:

Lft=Lm×3.28084L_{ft} = L_m \times 3.28084

Lin=Lmm×0.03937L_{in} = L_{mm} \times 0.03937

Imperial to Metric:

Lm=Lft×0.3048L_m = L_{ft} \times 0.3048

Lmm=Lin×25.4L_{mm} = L_{in} \times 25.4

Pipe Sizing Reference (DN ↔ NPS)

DN (mm)NPS (in)OD (mm)OD (in)
15½"21.30.840
20¾"26.71.050
251"33.41.315
321¼"42.21.660
401½"48.31.900
502"60.32.375
652½"73.02.875
803"88.93.500
1004"114.34.500
1506"168.36.625
2008"219.18.625
25010"273.110.75
30012"323.912.75

Area Conversions

Complete Conversion Table

From → Tomm²cm²hakm²in²ft²yd²acre
1 m²10⁶10⁴110⁻⁴10⁻⁶155010.761.1962.47×10⁻⁴
1 ft²92,903929.00.09299.29×10⁻⁶9.29×10⁻⁸14410.1112.30×10⁻⁵
1 ha10¹⁰10⁸10,00010.011.55×10⁷107,63911,9602.471
1 acre4.05×10⁹4.05×10⁷4,0470.4054.05×10⁻³6.27×10⁶43,5604,8401

Key Formulas

Important: When converting area, you must square the linear conversion factor:

Aft2=Am2×(3.28084)2=Am2×10.764A_{ft^{2}} = A_{m^{2}} \times (3.28084)^2 = A_{m^{2}} \times 10.764

Building Floor Area Conversion

Problem: A building has a floor area of 2,500 m². Convert to square feet.

Solution:

Aft2=2500×10.764=26,910 ft2A_{ft^{2}} = 2500 \times 10.764 = 26,910 \text{ ft}^{2}

Common Mistake:

✘ Wrong: 2500 × 3.281 = 8,203 ft² (used linear factor) ✅ Correct: 2500 × 10.764 = 26,910 ft² (squared factor)


Volume Conversions

Complete Conversion Table

From → TomLLgal (US)gal (UK)ft³in³
1 L100010.0010.26420.22000.0353161.02
1 m³10⁶10001264.2220.035.3161,024
1 gal (US)37853.7850.0037910.83270.1337231
1 gal (UK)45464.5460.004551.20110.1605277.4
1 ft³28,31728.320.028327.4816.22911728

Key Engineering Volumes

ContainerTypical Volume
Water tank (residential)200-500 L
Expansion vessel8-50 L
Cooling tower sump1-10 m³
Swimming pool (Olympic)2,500 m³
Oil barrel159 L (42 US gal)

Mass Conversions

Complete Conversion Table

From → Tomggkgt (metric)ozlbton (US)ton (UK)
1 kg10⁶100010.00135.272.2050.0011020.000984
1 lb453,592453.60.45364.54×10⁻⁴1610.00050.000446
1 t (metric)10⁹10⁶1000135,27422051.1020.984
1 ton (US)9.07×10⁸9.07×10⁵907.20.907232,000200010.893
1 ton (UK)1.02×10⁹1.02×10⁶10161.01635,84022401.121

Ton Variations

TypeDefinitionkg Equivalent
Metric ton (tonne)1000 kg1000
US (short) ton2000 lb907.2
UK (long) ton2240 lb1016
Ton of refrigerationCooling capacityN/A (3.517 kW)

Pressure Conversions

Pressure conversion is perhaps the most critical for engineering applications. Understanding the relationships between units—and especially gauge vs absolute pressure—prevents dangerous errors.

Complete Conversion Table

From → ToPakPabarpsiatmmmHgmH₂OinH₂O
1 bar10⁵100114.5040.9869750.110.20401.5
1 psi68956.8950.0689510.0680551.710.703127.68
1 atm101,325101.31.01314.70176010.33406.8
1 kPa100010.010.14500.009877.5010.1024.015
1 mH₂O98079.8070.098071.4220.0967873.56139.37

Gauge vs Absolute Pressure

Pressure Head Conversions

In pump and piping systems, pressure is often expressed as "head" (height of fluid column):

For Water at 4°C (maximum density):

P=ρghP = \rho g h

HeadPressure
1 m H₂O9.807 kPa = 0.0981 bar = 1.422 psi
1 ft H₂O2.989 kPa = 0.0299 bar = 0.433 psi
10 m H₂O0.981 bar ≈ 1 bar
Pump Head Conversion

Problem: A pump is rated for 45 m head. What is the discharge pressure in bar and psi?

Solution:

Pbar=45×0.0981=4.41 barP_{bar} = 45 \times 0.0981 = 4.41 \text{ bar}

Ppsi=45×1.422=64.0 psiP_{psi} = 45 \times 1.422 = 64.0 \text{ psi}

Note: This assumes pumping water. For other fluids, multiply by specific gravity.


Temperature Conversions

Temperature requires special attention because conversions involve both multiplication and addition (offset).

Conversion Formulas

Celsius ↔ Fahrenheit:

T°F=T°C×95+32T_{°F} = T_{°C} \times \frac{9}{5} + 32

T°C=(T°F32)×59T_{°C} = (T_{°F} - 32) \times \frac{5}{9}

Celsius ↔ Kelvin:

TK=T°C+273.15T_K = T_{°C} + 273.15

Fahrenheit ↔ Rankine:

TR=T°F+459.67T_R = T_{°F} + 459.67

Reference Temperatures

Description°C°FK
Absolute zero-273.15-459.670
Water freezing032273.15
Room temperature20-2568-77293-298
Human body3798.6310.15
Water boiling100212373.15

Temperature Difference (ΔT) Conversions


Power Conversions

Complete Conversion Table

From → ToWkWMWhp (mech)BTU/hrTRkcal/hr
1 kW100010.0011.34134120.2843860.4
1 hp745.70.74577.46×10⁻⁴125450.212641.2
1 BTU/hr0.29312.93×10⁻⁴2.93×10⁻⁷3.93×10⁻⁴18.33×10⁻⁵0.252
1 TR35173.5170.003524.71612,00013024

Ton of Refrigeration

The ton of refrigeration (TR) is fundamental in HVAC:

Definition: Heat removal rate to freeze 1 short ton (2000 lb) of water at 0°C in 24 hours.

Key Conversions:

  • 1 TR = 3.517 kW (thermal)
  • 1 TR = 12,000 BTU/hr
  • 1 TR = 3,024 kcal/hr
Chiller Capacity Conversion

Problem: A building requires 500 kW of cooling. What chiller capacity in tons is needed?

Solution:

CapacityTR=5003.517=142.2 tons\text{Capacity}_{TR} = \frac{500}{3.517} = 142.2 \text{ tons}

Select a 150-ton chiller (standard size with margin).

Horsepower Variations

TypeDefinitionWatts
Mechanical hp550 ft·lbf/s745.7 W
Electrical hpCommon in US motors746 W
Metric hp (PS)75 kgf·m/s735.5 W
Boiler hpSteam generation rate9,810 W

Energy Conversions

Complete Conversion Table

From → ToJkJMJkWhBTUkcaltherm
1 kWh3.6×10⁶36003.613412860.40.0341
1 BTU10551.0550.001062.93×10⁻⁴10.25210⁻⁵
1 therm1.055×10⁸1.055×10⁵105.529.3100,00025,2001
1 kcal41844.1840.004180.001163.96813.97×10⁻⁵

Power vs Energy

Fuel Heating Values

FuelHigher Heating Value (HHV)
Natural gas10.5 kWh/m³ ≈ 1000 BTU/ft³
LPG (propane)25.3 kWh/m³ ≈ 91,500 BTU/gal
Diesel10.7 kWh/L ≈ 138,700 BTU/gal
Heating oil10.3 kWh/L ≈ 138,500 BTU/gal

Flow Rate Conversions

Volumetric Flow Rates

From → Tom³/sm³/hrL/sL/minGPMCFM
1 m³/hr2.78×10⁻⁴10.27816.674.4030.589
1 L/s0.0013.616015.852.119
1 GPM6.31×10⁻⁵0.2270.06313.78510.134
1 CFM4.72×10⁻⁴1.6990.47228.327.4811

Key HVAC Flow Conversions

Water Systems:

QGPM=Qm3/hr×4.403Q_{GPM} = Q_{m^{3}/hr} \times 4.403

QL/min=QGPM×3.785Q_{L/min} = Q_{GPM} \times 3.785

Air Systems:

QCFM=Qm3/hr×0.589Q_{CFM} = Q_{m^{3}/hr} \times 0.589

Qm3/hr=QCFM×1.699Q_{m^{3}/hr} = Q_{CFM} \times 1.699

Pump Flow Rate Conversion

Problem: A pump is rated for 50 GPM. Express in m³/hr and L/s.

Solution:

Qm3/hr=504.403=11.36 m\textsuperscript3/hrQ_{m^{3}/hr} = \frac{50}{4.403} = 11.36 \text{ m\textsuperscript{3}/hr}

QL/s=5015.85=3.15 L/sQ_{L/s} = \frac{50}{15.85} = 3.15 \text{ L/s}

Mass Flow Rate Conversion

m˙=ρ×V˙\dot{m} = \rho \times \dot{V}

For water at 20°C (ρ ≈ 998 kg/m³):

VolumetricMass
1 m³/hr998 kg/hr ≈ 1000 kg/hr
1 L/s0.998 kg/s ≈ 1 kg/s
1 GPM3.78 kg/min = 227 kg/hr

Velocity Conversions

Complete Conversion Table

From → Tom/skm/hft/sft/minmphknot
1 m/s13.63.281196.92.2371.944
1 km/h0.27810.91154.680.6210.540
1 ft/s0.3051.0971600.6820.592
1 ft/min0.005080.01830.016710.01140.00987
1 mph0.4471.6091.4678810.869

Engineering Velocity Guidelines

ApplicationTypical Velocity
Duct air (main)5-10 m/s (1000-2000 ft/min)
Duct air (branch)3-5 m/s (600-1000 ft/min)
Chilled water pipe1.5-3 m/s (5-10 ft/s)
Condenser water2-3.5 m/s (6.5-11.5 ft/s)
Steam (low pressure)25-40 m/s (80-130 ft/s)

Special Engineering Conversions

Specific Heat Capacity

From → TokJ/(kg·K)BTU/(lb·°F)cal/(g·°C)
1 kJ/(kg·K)10.23880.2388
1 BTU/(lb·°F)4.18711

Water: cp = 4.186 kJ/(kg·K) = 1.0 BTU/(lb·°F)

Thermal Conductivity

From → ToW/(m·K)BTU/(hr·ft·°F)
1 W/(m·K)10.5778
1 BTU/(hr·ft·°F)1.7311

Heat Transfer Coefficient

From → ToW/(m²·K)BTU/(hr·ft²·°F)
1 W/(m²·K)10.1761
1 BTU/(hr·ft²·°F)5.6781

How Can You Avoid Common Conversion Errors?

Dimensional Analysis

Always verify conversions using dimensional analysis—tracking units through calculations:

Dimensional Analysis Verification

Heat Transfer Calculation:

Q=m˙×cp×ΔTQ = \dot{m} \times c_p \times \Delta T

Check units:

(kgs)×(kJkgK)×(K)=kJs=kW\left(\frac{kg}{s}\right) \times \left(\frac{kJ}{kg \cdot K}\right) \times (K) = \frac{kJ}{s} = kW \checkmark

Significant Figures

  • Don't add false precision through conversion
  • Round final results appropriately
  • Maintain 2-4 significant figures for engineering calculations

Example:

  • Input: 5.0 m (2 sig figs)
  • Exact conversion: 5.0 × 3.28084 = 16.4042 ft
  • Reported: 16 ft (2 sig figs)

Common Error Prevention

  1. Always write units in calculations
  2. Verify with inverse conversion (convert back and check)
  3. Use dimensional analysis to confirm factor application
  4. Clearly label gauge vs absolute pressure
  5. Distinguish temperature vs temperature difference
  6. Note US vs UK gallons in documentation
  7. Specify nominal vs actual pipe dimensions

Quick Reference Tables

Most Common Engineering Conversions

ConversionFactorInverse
m → ft3.2810.3048
m² → ft²10.760.0929
m³ → ft³35.310.0283
L → gal (US)0.2643.785
bar → psi14.500.0689
kPa → psi0.1456.895
kW → hp1.3410.746
kW → BTU/hr34122.93×10⁻⁴
kW → TR0.2843.517
m³/hr → GPM4.4030.227
L/s → GPM15.850.0631
m/s → ft/min196.90.00508

Pressure Quick Reference

Common ValuebarpsikPaatm
Atmospheric1.01314.7101.31
2 bar229.02001.97
50 psi3.45503453.40
10 bar1014510009.87

Conclusion

Unit conversion mastery is a fundamental engineering skill that directly impacts safety, accuracy, and professional credibility. This guide has covered:

  • Three major unit systems (SI, practical metric, imperial) and when to use each
  • Comprehensive conversion tables for all major engineering quantities
  • Critical distinctions (gauge vs absolute, temperature vs ΔT, US vs UK gallons)
  • Special engineering conversions (specific heat, conductivity, heat transfer)
  • Best practices for accuracy and error prevention

Our engineering team has developed the interactive converter at the top of this page to provide instant, accurate conversions verified against NIST SP 811. Our calculations follow ISO 80000-1:2022 standards for maximum accuracy. Bookmark this guide as your definitive engineering unit reference.

Key Takeaways

  • Always specify units explicitly—ambiguity causes errors
  • Use dimensional analysis to verify every conversion
  • Distinguish temperature from temperature difference in conversions
  • Specify gauge vs absolute for all pressure values
  • Remember area/volume require squared/cubed factors for linear unit conversions
  • Know your gallon—US and UK differ by 20%
  • Use the interactive converter for quick verification

Further Learning

References & Standards

Primary Standards

ISO 80000-1:2022 Quantities and units — Part 1: General. Defines the International System of Units (SI), conversion principles, and unit symbol conventions. Section 3 defines fundamental terms; Section 6 specifies rules for unit symbols and names; Annex A provides guidance on expressing uncertainty in measurements.

NIST Special Publication 811 (2008) Guide for the Use of the International System of Units (SI). Appendix B contains comprehensive conversion factors with 10+ significant figures for all engineering units. Section 4.2 covers rules for unit symbols; Section 7 addresses expressing measurement uncertainty. All conversions in this calculator use NIST SP 811 Appendix B factors.

BIPM SI Brochure, 9th Edition (2019) The international authority on SI unit definitions. Chapter 2 defines the seven base units with explicit constants; Table 4 lists derived units with special names; Table 8 provides non-SI units accepted for use with SI (bar, liter, etc.).

Engineering Standards

ASHRAE Handbook Fundamentals Comprehensive reference including unit conversion tables and psychrometric data for HVAC applications.

ASME Standards Pipe dimensions, pressure vessel standards, and mechanical engineering specifications.

API Standards Petroleum industry standards including barrel definitions and flow measurement.

Further Reading


Disclaimer: This guide provides general technical information for reference purposes. Always verify results with applicable standards and engineering references. For critical applications or professional projects, consult with licensed engineers and verify all calculations independently.

Frequently Asked Questions

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