Kilowatts to Mechanical horsepower Calculator

Direct answer

Multiply the entered kilowatts value by 1.34102208884381 to express it in mechanical horsepower (hp). This converts kilowatt (kW) to mechanical horsepower (hp) within the documented power family.

Variables and formula

• Kilowatts (kW): the source value measured in kilowatt.
• Mechanical horsepower (hp): the same quantity expressed in mechanical horsepower.
• Conversion factor: 1.34102208884381 mechanical horsepower per kilowatt.

Mechanical horsepower = Kilowatts × 1.34102208884381

The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.

Unit definitions and named variants

Source unit: kilowatt (kW). A kilowatt is the SI decimal multiple formed with kilo: 1 kW = 1000 W. The canonical kilowatt definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.

Target unit: mechanical horsepower (hp). 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 used: Mechanical horsepower (550 ft·lbf/s); not metric, electric, boiler, water, or nominal manufacturer horsepower. Reference: National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.

The kW-to-hp direction remains inside the power quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.

Relationship and precision

This route uses at least one deliberately preserved rounded factor. Treat the displayed factor as an approximation at the precision documented below.

• kW relationship: The decimal-prefix relationship is exact.
• hp relationship: The preserved baseFactor 745.699872 W is rounded from about 745.699871582270 W, a difference of about 4.18×10⁻⁷ W per hp.

To audit the factor through the family base unit, divide the raw dataset factors 1000 by 745.699872. The generator emits that quotient once at 15 significant digits as the canonical direct factor 1.34102208884381; runtime calculations do not divide the already-emitted base factors again.

Reproducible example

For 10 kilowatts, 10 × 1.34102208884381 = 13.4102208884381 mechanical horsepower. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.

Directional scale check

Because one kilowatt contains 1.34102208884381 mechanical horsepower, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.

Interpretation

Read the result as mechanical horsepower, not kilowatts. A value entered as kW leaves the calculator labelled hp; this directional distinction matters even when the two units describe the same power quantity.

Assumptions and limitations

• Only non-negative power magnitudes are accepted; direction of power flow requires a signed model.
• 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.

Common mistakes

• The prefix symbol is lower-case k, while W is upper-case.
• Metric horsepower is approximately 735.4988 W and is not this unit.

Continue within the Power family

See the Power conversion hub for its five-unit reference table and all 20 directed routes.

• Reverse the direction: Mechanical horsepower to Kilowatts
• Compare another power route: Kilowatts to Watts
• Compare another power route: Kilowatts to Megawatts
• Compare another power route: Kilowatts to International Table Btu per hour
• Compare another power route: Mechanical horsepower to Watts

Assumptions

• The entered value uses kilowatts exactly as labelled.
• Only non-negative power magnitudes are accepted; direction of power flow requires a signed model.
• Rounding and measurement uncertainty remain the user's responsibility.

Sources and methodology

CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.

• The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
• NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026
• NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026