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Horsepower (metric) to Foot pound-force/second (hp (metric) to ft·lbf/s) Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Horsepower (metric) = 542.47603884 Foot pound-force/second
1 hp (metric) = 542.476039 ft·lbf/s • 1 ft·lbf/s = 0.0018434 hp (metric)
Horsepower (metric) to Foot pound-force/second: One Horsepower (metric) is equal to 542.47603884 Foot Pound Forces/second.
Certified Authority Value
542.47603884
ft·lbf/s
Exact: 1 ft·lbf/s ≡ 0.001843399392 hp (metric)
hp (metric)
hp (metric)
Swap to Foot pound-force/second to Horsepower (metric)
ft·lbf/s
ft·lbf/s 542.47603884
Quick Values:
1 hp (metric) 5 hp (metric) 10 hp (metric) 25 hp (metric) 50 hp (metric) 100 hp (metric) 250 hp (metric) 500 hp (metric) 1,000 hp (metric)
Conversion Formula
To convert Horsepower (metric) to Foot pound-force/second, multiply by 542.47603884
hp (metric) × 542.47603884 = ft·lbf/s

Calculation: 1 hp (metric) × 542.47603884 = 542.47603884 ft·lbf/s

Common Horsepower (metric) to Foot pound-force/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Horsepower (metric) (hp (metric)) and Foot pound-force/second (ft·lbf/s).

Tap any row to calculate
Horsepower (metric) to Foot pound-force/second: Primary Direct Table (15 Steps)
Horsepower (metric) to Foot pound-force/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 hp (metric) is equal to 0.542476 ft·lbf/s (Foot pound-force/second) 5.425 × 10⁻¹
0.01 hp (metric) is equal to 5.42476 ft·lbf/s (Foot pound-force/second) 5.425 × 10⁰
0.1 hp (metric) is equal to 54.247604 ft·lbf/s (Foot pound-force/second) 5.425 × 10¹
0.5 hp (metric) is equal to 271.238019 ft·lbf/s (Foot pound-force/second) 2.712 × 10²
1 hp (metric) is equal to 542.476039 ft·lbf/s (Foot pound-force/second) 5.425 × 10²
2 hp (metric) is equal to 1084.952078 ft·lbf/s (Foot pound-force/second) 1.085 × 10³
5 hp (metric) is equal to 2712.380194 ft·lbf/s (Foot pound-force/second) 2.712 × 10³
10 hp (metric) is equal to 5424.760388 ft·lbf/s (Foot pound-force/second) 5.425 × 10³
20 hp (metric) is equal to 10849.520777 ft·lbf/s (Foot pound-force/second) 1.085 × 10⁴
25 hp (metric) is equal to 13561.900971 ft·lbf/s (Foot pound-force/second) 1.356 × 10⁴
50 hp (metric) is equal to 27123.801942 ft·lbf/s (Foot pound-force/second) 2.712 × 10⁴
100 hp (metric) is equal to 54247.603884 ft·lbf/s (Foot pound-force/second) 5.425 × 10⁴
250 hp (metric) is equal to 135619.00971 ft·lbf/s (Foot pound-force/second) 1.356 × 10⁵
500 hp (metric) is equal to 271238.01942 ft·lbf/s (Foot pound-force/second) 2.712 × 10⁵
1000 hp (metric) is equal to 542476.038841 ft·lbf/s (Foot pound-force/second) 5.425 × 10⁵
Foot pound-force/second to Horsepower (metric): Reciprocal Summary
Foot pound-force/second to Horsepower (metric) Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ft·lbf/s is equal to 0.0018434 hp (metric) (Horsepower (metric)) 1.843 × 10⁻³
5 ft·lbf/s is equal to 0.009217 hp (metric) (Horsepower (metric)) 9.217 × 10⁻³
10 ft·lbf/s is equal to 0.018434 hp (metric) (Horsepower (metric)) 1.843 × 10⁻²
50 ft·lbf/s is equal to 0.09217 hp (metric) (Horsepower (metric)) 9.217 × 10⁻²
100 ft·lbf/s is equal to 0.18434 hp (metric) (Horsepower (metric)) 1.843 × 10⁻¹
View Complete 15-Row Foot pound-force/second to Horsepower (metric) Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Horsepower (metric) (hp (metric)) and Foot pound-force/second (ft·lbf/s):

Horsepower (metric) References:

  • European metric horsepower (DIN 70020) engine power rating standard (735.5 W) 1 hp (metric)

Foot pound-force/second References:

  • James Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp) 550 ft·lbf/s

Tap any benchmark above to automatically calculate its exact equivalent in Foot pound-force/second.

ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Horsepower (metric) to Foot pound-force/second

Converting Horsepower (metric) (hp (metric)) to Foot pound-force/second (ft·lbf/s) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer per unit of time. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Horsepower (metric) equals 542.476039 Foot pound-force/second, while 1 ft·lbf/s equals 0.0018434 hp (metric).

Direct Factor1 hp (metric) = 542.476039 ft·lbf/s
Inverse Ratio1 ft·lbf/s = 0.0018434 hp (metric)
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (watt (W)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 hp (metric) = 735.49875 watt (W)
2. Target SI Bridge (ktarget):1 ft·lbf/s = 1.355818 watt (W)
Step-by-step substitution for Horsepower (metric) → Foot pound-force/second:V(ft·lbf/s) = V(hp (metric)) × ( 735.49875 / 1.355818 ) = V(hp (metric)) × 542.476039
Mathematical FormulaValue in Foot pound-force/second = Value in Horsepower (metric) × 542.47603884Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 50 Horsepower (metric) (hp (metric)) produces 27123.801942 Foot pound-force/second (ft·lbf/s). In heavy-duty utility and industrial workloads, 240 hp (metric) equals 130194.249322 ft·lbf/s.

Inverse check: 1 ft·lbf/s = 0.0018434 hp (metric).

Understanding Horsepower (metric) and Foot pound-force/second

Horsepower (metric)

hp (metric)
Standard Unit

A Horsepower (metric) (hp (metric)) is a recognized unit for power.

Applications & Practical Context

In practical power terms, a european metric horsepower (DIN 70020) engine power rating standard (735.5 W) equals 1 hp (metric).

Physical Setup

A power rating of 1 hp (metric) corresponds to 735.49875 W (transferring energy at a rate of 735.49875 joules per second).

Conversion to SI Unit: watt (W)
1 hp (metric) = 735.49875 W

Foot pound-force/second

ft·lbf/s
Imperial / US

A Foot pound-force/second (ft·lbf/s) is an imperial and US customary unit for power.

Applications & Practical Context

In practical power terms, a james Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp) equals 550 ft·lbf/s.

Physical Setup

A power rating of 1 ft·lbf/s corresponds to 1.355818 W (transferring energy at a rate of 1.355818 joules per second).

Conversion to SI Unit: watt (W)
1 ft·lbf/s = 1.355818 W

Domain Metrology & Engineering Applications

Governing Law & Equation

Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using precision digital power analyzers (Yokogawa-type), absorption water-brake dynamometers, and RF thermistor bolometer mounts.

Primary Industry Sectors

Applied across electric vehicle powertrain dyno testing, renewable solar inverter rating, industrial steam turbine generation, and data center power management under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Foot pound-force/second
European metric horsepower (DIN 70020) engine power rating standard (735.5 W)1 hp (metric)542.476039 ft·lbf/s
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v) under ISO 80000 dimensional vector [M L² T⁻³].

Multi-Variable Engineering Bridge Grid Energy & Industrial Work

Continuous Power & Operating Duration Bridge (kWh • Megajoules • BTU • Average Power • Battery Runtime)

Bridge instantaneous work rate [M L² T⁻³] and accumulated energy consumption [M L² T⁻²] over operational shifts and duty cycles via the work-power equation E = P × t.

E = P × t
Live Calculated Bridge Equivalent:
1 hp (metric) at 1-Hour Standard Benchmark Runtime = 0.7355 kWh
Equals 2.6478 MJ • 2509.63 BTU • 2647795.5 J
Utility Standard
0.7355
kWh
Kilowatt-Hours
SI Metric Energy
2.6478
MJ
Megajoules
HVAC & Thermal
2509.63
BTU
British Thermal Units
SI Base Unit
2647795.5
J
Joules
Grid Power Scale
0.0007355
MWh
Megawatt-Hours
Mechanical Work
0.9863
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 hp (metric) × 735.49875 = 735.49875 W
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1-Hour Standard Benchmark Runtime at t = 3600 Seconds / Hours
  3. 3. Execute Governing Physical Law in SI Units:
    E = P × t = (735.49875) × (3600) = 2647795.5 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 2647795.5 × 2.7778 × 10⁻⁷ = 0.7355 kWh (Kilowatt-Hours) • MJ: 2647795.5 × 1 × 10⁻⁶ = 2.6478 MJ (Megajoules) • BTU: 2647795.5 × 0.0009478 = 2509.63 BTU (British Thermal Units) • J: 2647795.5 × 1 = 2647795.5 J (Joules) • MWh: 2647795.5 × 2.7778 × 10⁻¹⁰ = 0.0007355 MWh (Megawatt-Hours) • hp·h: 2647795.5 × 3.7251 × 10⁻⁷ = 0.9863 hp·h (Horsepower-Hours)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (Seconds / Hours) Reference State / Condition Typical Industrial & Engineering Application
1-Second Pulse (Inrush / Circuit Breaker) 1 1.0 second Motor inrush peak & capacitor discharge
1-Minute Short Cycle (Microwave / Lift) 60 60 seconds Elevator transit & commercial appliance duty
1-Hour Standard Benchmark Runtime 3600 3,600 seconds Standard utility kilowatt-hour energy basis
8-Hour Factory Shift (Industrial Machinery) 28800 8.0 hours Single industrial production line workday
24-Hour Continuous Day (Data Center / Pump) 86400 24.0 hours Always-on server racks & municipal water treatment
7-Day Continuous Week (Chemical Refining) 604800 168.0 hours Continuous manufacturing process plant run
30-Day Monthly Billing Cycle 2592000 720.0 hours Electric utility meter billing period
365-Day Annual Base Load Operation 3.1536 × 10⁷ 8,760 hours Grid generator annual capacity factor calculation
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Frequently Asked Questions

There are exactly 542.47603884 foot pound forces/second (ft·lbf/s) in 1 horsepower (metric) (hp (metric)). To calculate larger amounts manually, simply multiply your total number of horsepowers (metric) by the conversion multiplier of 542.47603884.

The mathematical formula to convert horsepowers (metric) to foot pound forces/second is: [value] * 542.47603884 = foot pound forces/second. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from foot pound forces/second back to horsepowers (metric), you must divide your starting value by 542.47603884. Our bidirectional tool automatically computes this inverse equation the moment you type into the foot pound-force/second input field.

1 Horsepower (metric) is larger than 1 Foot pound-force/second. Specifically, 1 Horsepower (metric) equals exactly 542.47603884 foot pound forces/second, making it 542.476 times larger (a difference of 2.73 orders of magnitude). Therefore, quantities expressed in foot pound forces/second require a larger numerical value to represent the same physical amount.

A typical european metric horsepower (DIN 70020) engine power rating standard (735.5 W) measures 1 hp (metric), which corresponds to 542.476 Foot Pound Force Per Second (Foot pound-force/second).

The exact scientific measurement is 1 hp (metric) = 542.477 ft·lbf/s.

The forward formula is V(ft·lbf/s) = V(hp (metric)) × 542.477.

Multiply the foot pound-force value by the inverse scalar: V(hp (metric)) = V(ft·lbf/s) × 0.0018434.

It bridges metric mechanical power (75 kgf·m/s) with the imperial/US customary system (ft·lbf/s), critical for translating European automotive or industrial specifications for US-based engineering.

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