Foot-pounds/second to Horsepowers (metric) Converter (ft·lbf/s to hp (metric))

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Live Conversion • ISO 80000-4:2019 Certified

1 Foot-pound/second = 0.0018433994 Horsepower (metric)

1 ft·lbf/s = 0.0018434 hp (metric) • 1 hp (metric) = 542.476039 ft·lbf/s

Decimals:

Certified Authority Value

0.00184340

hp (metric)

From / Input

ft·lbf/s

Swap to Horsepower (metric) to Foot-pound/second

To / Result

hp (metric)

Quick Values:

Conversion Formula

To convert Foot-pound/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/second to Horsepower (metric) Calculations

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

Tap any row to calculate

Foot-pound/second to Horsepower (metric): Primary Direct Table (15 Steps)

Rule: 1 Foot-pound/second is equal to 0.0018434 hp (metric) (Horsepower (metric))

Foot-pound/second to Horsepower (metric) Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ft·lbf/s 1.843399 × 10⁻⁶ hp (metric)	1.843 × 10⁻⁶
0.01 ft·lbf/s 1.843399 × 10⁻⁵ hp (metric)	1.843 × 10⁻⁵
0.1 ft·lbf/s 0.00018434 hp (metric)	1.843 × 10⁻⁴
0.5 ft·lbf/s 0.0009217 hp (metric)	9.217 × 10⁻⁴
1 ft·lbf/s 0.0018434 hp (metric)	1.843 × 10⁻³
2 ft·lbf/s 0.0036868 hp (metric)	3.687 × 10⁻³
5 ft·lbf/s 0.009217 hp (metric)	9.217 × 10⁻³
10 ft·lbf/s 0.018434 hp (metric)	1.843 × 10⁻²
20 ft·lbf/s 0.036868 hp (metric)	3.687 × 10⁻²
25 ft·lbf/s 0.046085 hp (metric)	4.608 × 10⁻²
50 ft·lbf/s 0.09217 hp (metric)	9.217 × 10⁻²
100 ft·lbf/s 0.18434 hp (metric)	1.843 × 10⁻¹
250 ft·lbf/s 0.46085 hp (metric)	4.608 × 10⁻¹
500 ft·lbf/s 0.9217 hp (metric)	9.217 × 10⁻¹
1000 ft·lbf/s 1.843399 hp (metric)	1.843 × 10⁰

Horsepower (metric) to Foot-pound/second: Reciprocal Summary

Rule: 1 Horsepower (metric) is equal to 542.476039 ft·lbf/s (Foot-pound/second)

Horsepower (metric) to Foot-pound/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 hp (metric) 542.476039 ft·lbf/s	5.425 × 10²
5 hp (metric) 2712.380193 ft·lbf/s	2.712 × 10³
10 hp (metric) 5424.760386 ft·lbf/s	5.425 × 10³
50 hp (metric) 27123.801932 ft·lbf/s	2.712 × 10⁴
100 hp (metric) 54247.603864 ft·lbf/s	5.425 × 10⁴

View Complete 15-Row Horsepower (metric) to Foot-pound/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/second (ft·lbf/s) and Horsepower (metric) (hp (metric)):

Foot-pound/second References:

Small decorative holiday LED string light bulb power draw 0.737562 ft·lbf/s
Fast-charging smartphone USB-C wall power adapter output 14.7512 ft·lbf/s
Average adult human resting metabolic heat dissipation output 73.7562 ft·lbf/s
High-performance desktop gaming computer power supply rating 553.17 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/second to Horsepower (metric)

Converting Foot-pound/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/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:

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 (k_source):1 ft·lbf/s = 1.355818 watt (W)

2. Target SI Bridge (k_target):1 hp (metric) = 735.49875 watt (W)

Step-by-step substitution for Foot-pound/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/second × 0.0018433994Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 8 ft·lbf/s, applying the conversion factor yields exactly 0.0147472 hp (metric). At larger operational scale, 5000 Foot-pound/second corresponds to 9.216997 hp (metric).

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

Understanding Foot-pound/second and Horsepower (metric)

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 Reference	Reference Value	Converted to Horsepower (metric)
European metric horsepower (DIN 70020) engine power rating standard (735.5 W)	`1 hp (metric)`	`0.0018434 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 Continuous Power & Energy Storage

Continuous Power & Load Duration Bridge (Joules • kWh • Megajoules • Watt-Hours • BTU)

Calculate total energy consumption and utility billing E = P × t across equipment operating duty cycles, bridging power [M L² T⁻³] with energy [M L² T⁻²].

Input Equipment Power Rating (P): ft·lbf/s

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 ft·lbf/s at 1 Hour Continuous Run (3,600 s) = 4880.9446 J

Equals 4.8809 kJ • 0.00488094 MJ • 0.00135582 kWh

SI Energy

4880.9446

Joules

Thermal Scale

4.8809

Kilojoules

Bulk Energy

0.00488094

Megajoules

Electric Utility Meter

0.00135582

kWh

Kilowatt-Hours

Battery Capacity

1.3558

Watt-Hours

Imperial Thermal

4.6262

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 ft·lbf/s × 1.35581795 = 1.35581795 W
2. Apply Engineering Parameter (t):
Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
3. Execute Governing Physical Law in SI Units:
E = P × t = (1.35581795 W) × (3600 s) = 4880.944616 J
4. Convert to Standard Engineering Units:
• J: 4880.944616 × 1 = 4880.9446 J (Joules) • kJ: 4880.944616 × 0.001 = 4.8809 kJ (Kilojoules) • MJ: 4880.944616 × 1 × 10⁻⁶ = 0.00488094 MJ (Megajoules) • kWh: 4880.944616 × 2.7778 × 10⁻⁷ = 0.00135582 kWh (Kilowatt-Hours) • Wh: 4880.944616 × 0.0002778 = 1.3558 Wh (Watt-Hours) • BTU: 4880.944616 × 0.0009478 = 4.6262 BTU (British Thermal Units)

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Engineering Substance / Operating Standard	Parameter Value (s)	Reference State / Condition	Typical Industrial & Engineering Application
1 Hour Continuous Run (3,600 s)	`3600`	3,600 s (1 hour)	Standard 1-hour utility metering basis
8-Hour Commercial Work Shift (28,800 s)	`28800`	28,800 s (8 hours)	Single factory shift run time
24-Hour Continuous Operation (86,400 s)	`86400`	86,400 s (1 day)	24/7 server rack or process pump
30-Day Monthly Billing Cycle (2,592,000 s)	`2592000`	2,592,000 s (720 hours)	Monthly utility electric billing cycle
1 Full Year (8,760 hours / 31,536,000 s)	`3.1536 × 10⁷`	31,536,000 s (1 year)	Annual facility energy footprint

Frequently Asked Questions

There are exactly 0.0018433994 horsepowers (metric) (hp (metric)) in 1 foot-pound/second (ft·lbf/s). To calculate larger amounts manually, simply multiply your total number of foot-pounds/second by the conversion multiplier of 0.0018433994.

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

Under standard international measurement guidelines, 1 Foot-pound/second converts to 0.0018433994 horsepowers (metric). Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.