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

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Live Conversion • ISO 80000-4:2019 Certified
1 Foot pound-force/second = 0.0018433994 Horsepower (metric)
1 ft·lbf/s = 0.0018434 hp (metric) • 1 hp (metric) = 542.476039 ft·lbf/s
Foot pound-force/second to Horsepower (metric): One Foot pound-force/second is equal to 0.0018433994 Horsepowers (metric).
Certified Authority Value
0.00184340
hp (metric)
Exact: 1 hp (metric) ≡ 542.4760388407 ft·lbf/s
ft·lbf/s
ft·lbf/s
Swap to Horsepower (metric) to Foot pound-force/second
hp (metric)
hp (metric) 0.0018433994
Quick Values:
1 ft·lbf/s 5 ft·lbf/s 10 ft·lbf/s 25 ft·lbf/s 50 ft·lbf/s 100 ft·lbf/s 250 ft·lbf/s 500 ft·lbf/s 1,000 ft·lbf/s
Conversion Formula
To convert Foot pound-force/second to Horsepower (metric), multiply by 0.0018433994
ft·lbf/s × 0.0018433994 = hp (metric)

Calculation: 1 ft·lbf/s × 0.0018433994 = 0.0018433994 hp (metric)

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

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

Tap any row to calculate
Foot pound-force/second to Horsepower (metric): Primary Direct Table (15 Steps)
Foot pound-force/second to Horsepower (metric) Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft·lbf/s is equal to 1.843399 × 10⁻⁶ hp (metric) (Horsepower (metric)) 1.843 × 10⁻⁶
0.01 ft·lbf/s is equal to 1.843399 × 10⁻⁵ hp (metric) (Horsepower (metric)) 1.843 × 10⁻⁵
0.1 ft·lbf/s is equal to 0.00018434 hp (metric) (Horsepower (metric)) 1.843 × 10⁻⁴
0.5 ft·lbf/s is equal to 0.0009217 hp (metric) (Horsepower (metric)) 9.217 × 10⁻⁴
1 ft·lbf/s is equal to 0.0018434 hp (metric) (Horsepower (metric)) 1.843 × 10⁻³
2 ft·lbf/s is equal to 0.0036868 hp (metric) (Horsepower (metric)) 3.687 × 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
20 ft·lbf/s is equal to 0.036868 hp (metric) (Horsepower (metric)) 3.687 × 10⁻²
25 ft·lbf/s is equal to 0.046085 hp (metric) (Horsepower (metric)) 4.608 × 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
250 ft·lbf/s is equal to 0.46085 hp (metric) (Horsepower (metric)) 4.608 × 10⁻¹
500 ft·lbf/s is equal to 0.9217 hp (metric) (Horsepower (metric)) 9.217 × 10⁻¹
1000 ft·lbf/s is equal to 1.843399 hp (metric) (Horsepower (metric)) 1.843 × 10⁰
Horsepower (metric) to Foot pound-force/second: Reciprocal Summary
Horsepower (metric) to Foot pound-force/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp (metric) is equal to 542.476039 ft·lbf/s (Foot pound-force/second) 5.425 × 10²
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
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
View Complete 15-Row Horsepower (metric) to Foot pound-force/second 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 Foot pound-force/second (ft·lbf/s) and Horsepower (metric) (hp (metric)):

Foot pound-force/second References:

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

Horsepower (metric) References:

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

Tap any benchmark above to automatically calculate its exact equivalent in Horsepower (metric).

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

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

Converting Foot pound-force/second (ft·lbf/s) to Horsepower (metric) (hp (metric)) 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 Foot pound-force/second equals 0.0018434 Horsepower (metric), while 1 hp (metric) equals 542.476039 ft·lbf/s.

Direct Factor1 ft·lbf/s = 0.0018434 hp (metric)
Inverse Ratio1 hp (metric) = 542.476039 ft·lbf/s
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 ft·lbf/s = 1.355818 watt (W)
2. Target SI Bridge (ktarget):1 hp (metric) = 735.49875 watt (W)
Step-by-step substitution for Foot pound-force/second → Horsepower (metric):V(hp (metric)) = V(ft·lbf/s) × ( 1.355818 / 735.49875 ) = V(ft·lbf/s) × 0.0018434
Mathematical FormulaValue in Horsepower (metric) = Value in Foot pound-force/second × 0.0018433994Direct computational formula applied for standard conversion.
Worked Example

Converting 15 ft·lbf/s yields an exact output of 0.027651 hp (metric) in Horsepower (metric). Under higher industrial throughput, 5000 ft·lbf/s translates to 9.216997 hp (metric).

Inverse check: 1 hp (metric) = 542.476039 ft·lbf/s.

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

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

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

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 Horsepower (metric)
James Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp)550 ft·lbf/s1.01387 hp (metric)
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 ft·lbf/s at 1-Hour Standard Benchmark Runtime = 0.001356 kWh
Equals 0.004881 MJ • 4.63 BTU • 4880.94 J
Utility Standard
0.001356
kWh
Kilowatt-Hours
SI Metric Energy
0.004881
MJ
Megajoules
HVAC & Thermal
4.63
BTU
British Thermal Units
SI Base Unit
4880.94
J
Joules
Grid Power Scale
1.355818 × 10⁻⁶
MWh
Megawatt-Hours
Mechanical Work
0.001818
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 ft·lbf/s × 1.35581795 = 1.35581795 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 = (1.35581795) × (3600) = 4880.944614 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 4880.944614 × 2.7778 × 10⁻⁷ = 0.001356 kWh (Kilowatt-Hours) • MJ: 4880.944614 × 1 × 10⁻⁶ = 0.004881 MJ (Megajoules) • BTU: 4880.944614 × 0.0009478 = 4.63 BTU (British Thermal Units) • J: 4880.944614 × 1 = 4880.94 J (Joules) • MWh: 4880.944614 × 2.7778 × 10⁻¹⁰ = 1.355818 × 10⁻⁶ MWh (Megawatt-Hours) • hp·h: 4880.944614 × 3.7251 × 10⁻⁷ = 0.001818 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 0.0018433994 horsepowers (metric) (hp (metric)) in 1 foot pound-force/second (ft·lbf/s). To calculate larger amounts manually, simply multiply your total number of foot pound forces/second by the conversion multiplier of 0.0018433994.

The mathematical formula to convert foot pound forces/second to horsepowers (metric) is: [value] * 0.0018433994 = horsepowers (metric). 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 horsepowers (metric) back to foot pound forces/second, you must divide your starting value by 0.0018433994. Our bidirectional tool automatically computes this inverse equation the moment you type into the horsepower (metric) input field.

1 Horsepower (metric) is larger than 1 Foot pound-force/second. Specifically, 1 Foot pound-force/second equals 0.0018433994 horsepowers (metric), meaning 1 Horsepower (metric) is 542.476 times larger than 1 Foot pound-force/second (a difference of 2.73 orders of magnitude). Expressing measurements in foot pound forces/second requires a larger numerical value to represent the equivalent physical magnitude.

A typical james Watt mechanical horsepower definition benchmark (550 ft·lbf/s = 1 hp) measures 550 ft·lbf/s, which corresponds to 1.0139 hp (M) (Horsepower (metric)).

One Foot pound-force/second (ft·lbf/s) equates to 0.0018434 Horsepower (metric). The standard conversion is defined as: 1 ft·lbf/s = 0.0018434 hp (metric).

Multiply the Foot pound-force/second value by 0.0018434 to calculate the equivalent metric Horsepower. The formal equation is: V(hp (metric)) = V(ft·lbf/s) × 0.0018434.

To convert metric Horsepower back to Foot pound-force/second, multiply the hp (metric) value by 542.477. Use the formula: V(ft·lbf/s) = V(hp (metric)) × 542.477.

Foot pound-force per second represents mechanical work in the Imperial system, while metric horsepower (PS or cheval vapeur) defines engine or motor power in metric regions. This conversion aligns mechanical specifications across US/UK engineering standards and European automotive or industrial ratings.

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