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Power converter

Convert hp to kW, kW to hp, watts to horsepower and BTU/h to tons of refrigeration, with mechanical (745.7 W) and metric (735.5 W) horsepower.

Updated Checked against 5 worked examples

A number in the “from” unit, or with its own unit
Try
Converted value
kW
Converted value: 74.5699871582 kW
Shown to 12 significant figures, half-up
Conversion
100 hp ≈ 74.56999 kW
Conversion factor
0.745699871582
Exactness
Exact

100 hp is about 74.56999 kW (exactly 74.569987158227022 kW). One horsepower is about 0.7456999 kW.

The same amount counted in each unit

hp100 hpkW74.56999 kW
100 hp in every power unit (10 rows)
UnitValueDefinition
watt (W)74,569.99Base unit
milliwatt (mW)74,569,9901 mW = 0.001 W, exact
kilowatt (kW)74.569991 kW = 1,000 W, exact
megawatt (MW)0.074569991 MW = 1,000,000 W, exact
gigawatt (GW)0.000074569991 GW = 1,000,000,000 W, exact
horsepower (hp)1001 hp = 745.69987158227022 W, exact (Mechanical horsepower (550 ft·lbf/s))
metric horsepower (PS)101.3871 PS = 735.49875 W, exact
BTU per hour (BTU/h)254,443.41 BTU/h = 1,055.05585262/3,600 W, exact
ton of refrigeration (TR)21.203611 TR = 12,660,670.23144/3,600 W, exact
kilocalorie per hour (kcal/h)64,161.561 kcal/h = 4,184/3,600 W, exact
How it's calculated S
  1. Convert horsepower to watt

    100 hp×745.69987158227022 Whp=74,569.9871582 W100\ \text{hp} \times 745.69987158227022\ \tfrac{\text{W}}{\text{hp}} = 74{,}569.9871582\ \text{W}

    1 hp = 745.69987158227022 W, exact (Mechanical horsepower (550 ft·lbf/s))

  2. Convert watt to kilowatt

    74,569.9871582 W÷1,000 WkW=74.5699871582 kW74{,}569.9871582\ \text{W} \div 1{,}000\ \tfrac{\text{W}}{\text{kW}} = 74.5699871582\ \text{kW}

    1 kW = 1,000 W, exact

  3. Combined factor

    1 hp=745.699871582270221,000 kW≈0.745699871582 kW1\ \text{hp} = \frac{745.69987158227022}{1{,}000}\ \text{kW} \approx 0.745699871582\ \text{kW}

    Both units are defined exactly and the converted value is a terminating decimal, so every digit shown in it is exact.

About the power converter

Every power unit is a fixed number of watts (joules per second). Mechanical horsepower is 550 foot-pounds-force per second, which works out at exactly 745.69987158227022 W; metric horsepower (PS) is 75 kilogram-force metres per second, exactly 735.49875 W. A ton of refrigeration is 12,000 BTU/h, about 3.517 kW.

The default converts a 100 hp engine to 74.57 kW. Car specifications are the usual reason: European registration documents give engine power in kW while brochures quote PS or hp, and 100 kW is 134.1 hp or 136.0 PS.

Air-conditioner ratings in BTU/h or tons describe cooling output, not the electricity drawn: a 1.5-ton unit moves 18,000 BTU/h (5.28 kW) of heat, and its electrical input depends on its efficiency rating.

Worked examples

100 hp in kW

Value
100 hp
From
horsepower (hp)
To
kilowatt (kW)
Converted value
74.5699871582 kW
Exactness
Exact

Checked against: 1 hp = 550 ft·lbf/s = 550 × 0.3048 × 4.4482216152605 W = 745.69987158227022 W (NIST SP 811 App. B)

1 kW in hp

Value
1 kW
From
kilowatt (kW)
To
horsepower (hp)
Converted value
1.3410220896 hp

Checked against: 1000 / 745.69987158227022 (Python 3.8 fractions from the legal definitions)

12,000 BTU/h is one ton of refrigeration

Value
12,000 BTU/h
From
BTU per hour (BTU/h)
To
ton of refrigeration (TR)
Converted value
1 TR

Checked against: 1 ton of refrigeration = 12,000 BTU/h (NIST SP 811 App. B)

Zero power

Value
0 W
From
watt (W)
To
horsepower (hp)
Converted value
0 hp
Exactness
Exact

Checked against: 0 × any factor = 0

Questions

How many watts are in a horsepower?

745.7 W for mechanical horsepower (550 ft·lbf/s), 735.5 W for metric horsepower (PS or CV), and exactly 746 W for the electric horsepower used to rate electric motors; NIST SP 811 lists all three. Mechanical and metric horsepower differ by 1.4%, enough to matter when comparing car figures.

How do I convert kW to hp?

Multiply by 1.34102 for mechanical horsepower or by 1.35962 for metric PS. A 150 kW engine is 201.2 hp or 203.9 PS. To go from hp to kW, multiply by 0.7457, so the default 100 hp is 74.57 kW.

What is the difference between hp, bhp and PS?

hp and bhp use the same 745.7 W unit; “brake” horsepower means the power was measured at the engine's output shaft, before transmission losses. PS (Pferdestärke) is metric horsepower, 735.5 W, also written CV or ch. A car quoted at 150 PS makes 147.9 hp or 110.3 kW.

What does a 1.5-ton air conditioner mean?

It removes 18,000 BTU of heat per hour, which is 5.28 kW of cooling. A ton of refrigeration is 12,000 BTU/h, the rate that melts one short ton (2,000 lb) of ice in 24 hours, because ice absorbs 144 BTU per pound as it melts. The electricity it draws is lower and depends on its efficiency rating.

How many BTU/h is 1 kW?

3,412.14 BTU/h. One watt is 3.41214 BTU/h, so a 2 kW electric heater gives out 6,824 BTU/h, and a 12,000 BTU/h air conditioner is rated at 3.517 kW of cooling. The factor is the same as between kWh and BTU because both sides are divided by one hour.

How accurate is the power converter?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 5 worked examples whose answers come from independent sources; for example, “100 hp in kW” is checked against 1 hp = 550 ft·lbf/s = 550 × 0.3048 × 4.4482216152605 W = 745.69987158227022 W (NIST SP 811 App. B).

Where does the method come from?

NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors; NIST Handbook 44, Appendix C — General tables of units of measurement.

About this calculator

xto=xfrom×ffromftof=one unit expressed in W\begin{gathered} x_{\text{to}} = x_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \\ f = \text{one unit expressed in } \text{W} \end{gathered}

Sources

  1. NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors
  2. NIST Handbook 44, Appendix C — General tables of units of measurement

Checked against references

5 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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