Power conversion family

Power unit conversions

Power is the rate of energy transfer or work per unit time and has dimension M L² T⁻³; the coherent SI unit is the watt (W), equal to J/s.

Five named units

Unit and factor reference

Base: W
Factors are stored as decimal strings relative to watt (W).
UnitSymbolFactor to baseRelationshipDefinition and variant
wattW1defined

The watt is the coherent SI unit of power: 1 W = 1 J/s = 1 kg·m²·s⁻³.

The base factor is exactly 1 by the family base-unit choice.

kilowattkW1000exact

A kilowatt is the SI decimal multiple formed with kilo: 1 kW = 1000 W.

The decimal-prefix relationship is exact.

megawattMW1000000exact

A megawatt is the SI decimal multiple formed with mega: 1 MW = 1,000,000 W.

The decimal-prefix relationship is exact.

mechanical horsepowerhp745.699872approximate

Mechanical horsepower in this family is 550 international foot-pounds-force per second. With standard gravity, the exact chain gives approximately 745.699871582270 W.

Named variant: Mechanical horsepower (550 ft·lbf/s); not metric, electric, boiler, water, or nominal manufacturer horsepower.

The preserved baseFactor 745.699872 W is rounded from about 745.699871582270 W, a difference of about 4.18×10⁻⁷ W per hp.

International Table Btu per hourBtu_IT/h0.2930710701722222approximate

International Table Btu per hour is Btu_IT divided by the fixed 3600-second hour: exactly 1055.05585262/3600 W, a repeating decimal approximately 0.293071070172222 W.

Named variant: International Table Btu per hour (Btu_IT/h); not Btu_th/h or an unqualified Btu variant.

The source dataset preserves JavaScript's raw evaluated value for 1055.05585262/3600. The exact quotient is repeating; the generator's 15-significant-digit emission is 0.293071070172222 W.

Every ordered pair

All 20 power calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This family converts non-negative power magnitudes; it does not compute energy use without a duration or model signed import/export.
  • Horsepower means mechanical horsepower defined as 550 international foot-pounds-force per second, using standard gravity; metric, electric, boiler, water, and other horsepower variants differ.
  • Btu per hour means International Table Btu per hour (Btu_IT/h), not a thermochemical or other Btu variant.

Authoritative references