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

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-4:2019 Certified

1 Horsepower (metric) = 542.47603864 Foot-pound/second

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

Decimals:

Certified Authority Value

542.47603864

ft·lbf/s

From / Input

hp (metric)

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

To / Result

ft·lbf/s

Quick Values:

Conversion Formula

To convert Horsepower (metric) to Foot-pound/second, multiply by 542.47603864

hp (metric) × 542.47603864 = ft·lbf/s

Calculation: 1 hp (metric) × 542.47603864 = 542.47603864 ft·lbf/s

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

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

Tap any row to calculate

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

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

Horsepower (metric) to Foot-pound/second Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 hp (metric) 0.542476 ft·lbf/s	5.425 × 10⁻¹
0.01 hp (metric) 5.42476 ft·lbf/s	5.425 × 10⁰
0.1 hp (metric) 54.247604 ft·lbf/s	5.425 × 10¹
0.5 hp (metric) 271.238019 ft·lbf/s	2.712 × 10²
1 hp (metric) 542.476039 ft·lbf/s	5.425 × 10²
2 hp (metric) 1084.952077 ft·lbf/s	1.085 × 10³
5 hp (metric) 2712.380193 ft·lbf/s	2.712 × 10³
10 hp (metric) 5424.760386 ft·lbf/s	5.425 × 10³
20 hp (metric) 10849.520773 ft·lbf/s	1.085 × 10⁴
25 hp (metric) 13561.900966 ft·lbf/s	1.356 × 10⁴
50 hp (metric) 27123.801932 ft·lbf/s	2.712 × 10⁴
100 hp (metric) 54247.603864 ft·lbf/s	5.425 × 10⁴
250 hp (metric) 135619.009659 ft·lbf/s	1.356 × 10⁵
500 hp (metric) 271238.019318 ft·lbf/s	2.712 × 10⁵
1000 hp (metric) 542476.038637 ft·lbf/s	5.425 × 10⁵

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

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

Foot-pound/second to Horsepower (metric) Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 ft·lbf/s 0.0018434 hp (metric)	1.843 × 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
50 ft·lbf/s 0.09217 hp (metric)	9.217 × 10⁻²
100 ft·lbf/s 0.18434 hp (metric)	1.843 × 10⁻¹

View Complete 15-Row Foot-pound/second to Horsepower (metric) Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

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/second (ft·lbf/s):

Horsepower (metric) References:

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

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

Converting Horsepower (metric) (hp (metric)) to Foot-pound/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/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:

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 hp (metric) = 735.49875 watt (W)

2. Target SI Bridge (k_target):1 ft·lbf/s = 1.355818 watt (W)

Step-by-step substitution for Horsepower (metric) → Foot-pound/second:V(ft·lbf/s) = V(hp (metric)) × ( 735.49875 / 1.355818 ) = V(hp (metric)) × 542.476039

Mathematical FormulaValue in Foot-pound/second = Value in Horsepower (metric) × 542.47603864Direct computational formula applied for standard conversion.

Worked Example

Converting 36 hp (metric) yields an exact output of 19529.137391 ft·lbf/s in Foot-pound/second. Under higher industrial throughput, 5000 hp (metric) translates to 2712380.193184 ft·lbf/s.

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

Understanding Horsepower (metric) and Foot-pound/second

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 Foot-pound/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 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): hp (metric)

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 hp (metric) at 1 Hour Continuous Run (3,600 s) = 2647795.5 J

Equals 2647.7955 kJ • 2.647796 MJ • 0.735499 kWh

SI Energy

2647795.5

Joules

Thermal Scale

2647.7955

Kilojoules

Bulk Energy

2.647796

Megajoules

Electric Utility Meter

0.735499

kWh

Kilowatt-Hours

Battery Capacity

735.4988

Watt-Hours

Imperial Thermal

2509.6259

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 hp (metric) × 735.49875 = 735.49875 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 = (735.49875 W) × (3600 s) = 2647795.5 J
4. Convert to Standard Engineering Units:
• J: 2647795.5 × 1 = 2647795.5 J (Joules) • kJ: 2647795.5 × 0.001 = 2647.7955 kJ (Kilojoules) • MJ: 2647795.5 × 1 × 10⁻⁶ = 2.647796 MJ (Megajoules) • kWh: 2647795.5 × 2.7778 × 10⁻⁷ = 0.735499 kWh (Kilowatt-Hours) • Wh: 2647795.5 × 0.0002778 = 735.4988 Wh (Watt-Hours) • BTU: 2647795.5 × 0.0009478 = 2509.6259 BTU (British Thermal Units)

Explore Full Energy Converter →

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 542.47603864 foot-pounds/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 542.47603864.

The mathematical formula to convert horsepowers (metric) to foot-pounds/second is: [value] * 542.47603864 = foot-pounds/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-pounds/second back to horsepowers (metric), you must divide your starting value by 542.47603864. Our bidirectional tool automatically computes this inverse equation the moment you type into the foot-pound/second input field.

1 Horsepower (metric) is larger than 1 Foot-pound/second. Specifically, 1 Horsepower (metric) equals exactly 542.47603864 foot-pounds/second, making it 542.476 times larger (a difference of 2.73 orders of magnitude). Therefore, quantities expressed in foot-pounds/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 Per Second (Foot-pound/second).