Engineering Fundamentals Updated 2026-07-29 Engineering Guide

Engineering Unit Conversion Reference

Complete reference for converting between engineering units: length, pressure, temperature, flow, power, energy, mass, and volume with quick-reference tables.

SI Base Units

The International System of Units (SI) is the standard for engineering worldwide:

QuantitySI UnitSymbol
Lengthmeterm
Masskilogramkg
Timeseconds
TemperatureKelvinK
Amount of substancemolemol
Electric currentAmpereA
Luminous intensitycandelacd

US customary (Imperial) units are still widely used in US industries, oil/gas, and some manufacturing. Engineers must be fluent in both systems.

Pressure Unit Converter

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Length

FromToMultiply by
inches to mmmm25.4
feet to metersm0.3048
yards to metersm0.9144
miles to kmkm1.6093
mils (0.001 in) to mmmm0.0254
Angstrom to mm10⁻¹⁰

Pipe Size Naming

NPS (Nominal Pipe Size, inches) and DN (Diameter Nominal, metric) are approximate designations: NPS 2" = DN50, NPS 4" = DN100, NPS 8" = DN200, NPS 12" = DN300, NPS 24" = DN600. Note: NPS 12" OD = 323.9mm ≠ 300mm — they're nominal, not exact conversions.

Area and Volume

FromToMultiply by
square inches to mm²mm²645.16
square feet to m²0.0929
acres to m²4046.9
hectares to m²10,000
cubic inches to cm³cm³16.387
cubic feet to m³0.0283
gallons (US) to LL3.785
gallons (Imperial) to LL4.546
barrels (oil, bbl) to m³0.159
barrels (oil) to gallons USgal42
1 m³ = 1000 L = 264.2 US gallons = 6.29 barrels (oil)

Mass and Weight

FromToMultiply by
pounds (lbm) to kgkg0.4536
ounces (oz) to gg28.35
tons (short, 2000 lb) to kgkg907.2
tonnes (metric, 1000 kg) to kgkg1000
long tons (2240 lb) to kgkg1016

Note: In engineering, weight = force = mass × gravity. A mass of 1 kg weighs 9.81 N (Newtons) on Earth. A 1-pound mass exerts 1 pound-force (lbf) under standard gravity.

Pressure

Pressure = force per area. SI unit = Pascal (Pa = N/m²).

UnitSI EquivalentCommon Use
1 Pascal1 N/m²Very small; use kPa or MPa
1 bar100,000 Pa (100 kPa)Standard industrial
1 atm101,325 PaStandard atmospheric
1 psi6,894.8 PaUS customary
1 kgf/cm² (at)98,067 PaMetric technical atm
1 torr (mmHg)133.3 PaVacuum measurements
1 in H₂O248.8 PaLow pressure/drafts
1 in Hg3,386 PaBarometric pressure
1 mm Hg133.3 PaMedical/lab
1 bar = 14.50 psi = 0.987 atm = 29.53 in Hg = 10.2 m H₂O = 750 torr

Flow Rate Unit Converter

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Temperature

ScaleFreezing WaterBoiling WaterAbsolute Zero
Celsius (°C)0100-273.15
Fahrenheit (°F)32212-459.67
Kelvin (K)273.15373.150
Rankine (°R)491.67671.670

Conversions

°C = (°F − 32) × 5/9
°F = °C × 9/5 + 32
K = °C + 273.15
°R = °F + 459.67

Temperature Differences

Temperature DIFFERENCE: ΔT of 1°C = ΔT of 1 K = ΔT of 1.8°F = ΔT of 1.8°R. When converting heat transfer coefficients or temperature differences, don't add/subtract 32 — only apply the scaling factor (5/9 or 9/5).

Flow Rate

FromToMultiply by
US gallons/min (gpm) to m³/hm³/h0.227
US gpm to L/sL/s0.0631
barrels/day to m³/hm³/h0.00662
barrels/hour to m³/hm³/h0.159
ft³/min (cfm) to m³/hm³/h1.699
ft³/min (cfm) to L/sL/s0.472
million gpd (MGD) to m³/hm³/h157.7
L/min to m³/hm³/h0.06

Standard/Gas Flows

Gas flows are often referenced to standard conditions (1 atm, specified temperature):

  • Nm³/h: Normal cubic meters per hour (0°C, 1.013 bar abs)
  • SCFM: Standard cubic feet per minute (60°F, 14.7 psia)

1 Nm³/h = 0.622 SCFM (approximately — depends on gas composition)

Convert actual flow to standard:

Qstd = Qactual × (Pactual/Pstd) × (Tstd/Tactual)

Velocity

FromToMultiply by
ft/s to m/sm/s0.3048
ft/min to m/sm/s0.00508
mph to km/hkm/h1.609
knots to m/sm/s0.514
km/h to m/sm/s0.2778

Force and Torque

QuantityUnitSI Equivalent
Force1 lbf4.448 N
Force1 kgf (kilopond)9.807 N
Force1 dyne10⁻⁵ N
Torque1 ft-lbf1.356 N·m
Torque1 in-lbf0.113 N·m
Torque1 kgf·m9.807 N·m

Power

UnitSI EquivalentCommon Use
1 Watt1 J/sSI standard
1 kilowatt (kW)1000 WElectrical/mechanical
1 horsepower (hp)745.7 WUS mechanical power
1 metric hp (PS, CV)735.5 WEuropean metric hp
1 ft-lbf/s1.356 WUS customary
1 Btu/h0.293 WThermal (US)
1 ton of refrigeration3,517 W (12,000 Btu/h)HVAC cooling
1 boiler hp9,809 WSteam boilers
1 hp = 0.746 kW = 550 ft-lb/s = 2,545 Btu/h

Energy

UnitSI EquivalentCommon Use
1 Joule1 N·mSI standard
1 kilojoule (kJ)1000 J
1 kilowatt-hour (kWh)3.6 × 10⁶ J = 3.6 MJElectrical billing
1 Btu1055 JThermal (US)
1 calorie (IT)4.187 JHeat
1 food Calorie4187 J = 4.187 kJNutrition (kilocalorie)
1 therm105.5 MJNatural gas billing
1 ft-lbf1.356 JMechanical work
1 kcal4.187 kJThermal energy
1 kWh = 3,412 Btu = 860 kcal = 3.6 MJ

Density and Viscosity

Density

FromToMultiply by
lb/ft³ to kg/m³kg/m³16.018
g/cm³ to kg/m³kg/m³1000
lb/gal (US) to kg/m³kg/m³119.8

Water density = 1000 kg/m³ = 62.4 lb/ft³ = 8.34 lb/gal

Dynamic Viscosity

FromToMultiply by
centipoise (cP) to Pa·sPa·s0.001
poise to Pa·sPa·s0.1
lb/(ft·s) to Pa·sPa·s1.488

Water at 20°C = 1 cP = 0.001 Pa·s

Kinematic Viscosity (ν = μ/ρ)

FromToMultiply by
centistoke (cSt) to m²/sm²/s10⁻⁶
ft²/s to m²/sm²/s0.0929
Saybolt Seconds Universal (SSU) to cStcSt~0.216×SSU − 135 (for SSU > 100)

Water at 20°C = 1 cSt = 10⁻⁶ m²/s

Thermal Conductivity and Heat Transfer

PropertyUnitsConversion
Thermal conductivityBtu/(h·ft·°F) → W/(m·K)×1.731
Heat transfer coefficientBtu/(h·ft²·°F) → W/(m²·K)×5.678
Heat fluxBtu/(h·ft²) → W/m²×3.155
Specific heatBtu/(lb·°F) → kJ/(kg·K)×4.187

Heat Transfer Calculator

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Gas Constants and Standard Conditions

Gas Constant R Values

UnitsR
J/(mol·K)8.314
kJ/(kmol·K)8.314
ft-lbf/(lbmol·°R)1545
Btu/(lbmol·°R)1.986
m³·Pa/(mol·K)8.314
L·atm/(mol·K)0.08206

Specific Gas Constants (Rspecific = Runiversal/M)

GasMW (kg/kmol)R (J/kg·K)
Air28.97287
Nitrogen28.0297
Oxygen32.0260
Methane16.04518
CO₂44.0189
Hydrogen2.024124
Steam18.02462

Quick Conversion Cheat Sheet

To Convert US to SI (Memorize These)

  1. psi → bar: ÷ 14.5
  2. bar → psi: × 14.5
  3. °F → °C: (°F−32) × 5/9
  4. gpm → m³/h: × 0.227
  5. ft → m: × 0.305
  6. lb → kg: × 0.454
  7. hp → kW: × 0.746
  8. Btu → kJ: × 1.055
  9. in → mm: × 25.4
  10. mile → km: × 1.61

Quick Mental Math

For rough estimates: bar ≈ psi / 15 (close enough for site work). m ≈ ft / 3 + 5% (10 ft ≈ 3m). kg ≈ lb / 2 + 10% (100 lb ≈ 45 kg). °C ≈ (°F − 30)/2 for ambient temps (70°F ≈ 21°C, actual is 21°C — very close!).

Summary

Engineering calculations require consistent units — always convert to SI (or one consistent system) before plugging into formulas. The SI system uses meters, kilograms, seconds, Kelvin, and Pascals. Critical conversion factors: 1 bar = 14.5 psi = 100 kPa, 1 m³ = 264 US gallons, °C = (°F − 32) × 5/9, 1 hp = 0.746 kW. Temperature differences use the 9/5 or 5/9 factor without offset. Always check units in formulas — unit errors cause some of the most expensive engineering mistakes.

Related Guides & Tools

Disclaimer: This guide is for educational purposes only. Always consult qualified engineering professionals and applicable codes/standards (ASME, API, ASTM) for engineering design. See full disclaimer.