Skip to main content
0 results ↑ ↓ navigate, ↵ select

Foot-pounds to Horsepower (metric) hours Converter (ft·lb to hp·h (metric))

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-5:2019 Certified
1 Foot-pound = 5.12055387 × 10⁻⁷ Horsepower (metric) hour
1 ft·lb = 5.120554 × 10⁻⁷ hp·h (metric) • 1 hp·h (metric) = 1952913.739827 ft·lb
Foot-pound to Horsepower (metric) hour: One Foot-pound is equal to 5.12055387 × 10⁻⁷ Horsepower (metric) hours.
Certified Authority Value
0.00000051
hp·h (metric)
Exact: 1 hp·h (metric) ≡ 1952913.7398266718 ft·lb
ft·lb
ft·lb
Swap to Horsepower (metric) hour to Foot-pound
Swap to Horsepower (metric) hour to Foot-pound
hp·h (metric)
hp·h (metric) 5.12055387 × 10⁻⁷
Quick Values:
Conversion Formula
To convert Foot-pound to Horsepower (metric) hour, multiply by 5.12055387 × 10⁻⁷
ft·lb × 5.12055387 × 10⁻⁷ = hp·h (metric)

Calculation: 1 ft·lb × 5.12055387 × 10⁻⁷ = 5.12055387 × 10⁻⁷ hp·h (metric)

Common Foot-pound to Horsepower (metric) hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Foot-pound (ft·lb) and Horsepower (metric) hour (hp·h (metric)).

Tap any row to calculate
Foot-pound to Horsepower (metric) hour: Primary Direct Table (15 Steps)
Foot-pound to Horsepower (metric) hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ft·lb 5.120554 × 10⁻¹⁰ hp·h (metric) 5.121 × 10⁻¹⁰
0.01 ft·lb 5.120554 × 10⁻⁹ hp·h (metric) 5.121 × 10⁻⁹
0.1 ft·lb 5.120554 × 10⁻⁸ hp·h (metric) 5.121 × 10⁻⁸
0.5 ft·lb 2.560277 × 10⁻⁷ hp·h (metric) 2.56 × 10⁻⁷
1 ft·lb 5.120554 × 10⁻⁷ hp·h (metric) 5.121 × 10⁻⁷
2 ft·lb 1.024111 × 10⁻⁶ hp·h (metric) 1.024 × 10⁻⁶
5 ft·lb 2.560277 × 10⁻⁶ hp·h (metric) 2.56 × 10⁻⁶
10 ft·lb 5.120554 × 10⁻⁶ hp·h (metric) 5.121 × 10⁻⁶
20 ft·lb 1.024111 × 10⁻⁵ hp·h (metric) 1.024 × 10⁻⁵
25 ft·lb 1.280138 × 10⁻⁵ hp·h (metric) 1.28 × 10⁻⁵
50 ft·lb 2.560277 × 10⁻⁵ hp·h (metric) 2.56 × 10⁻⁵
100 ft·lb 5.120554 × 10⁻⁵ hp·h (metric) 5.121 × 10⁻⁵
250 ft·lb 0.000128014 hp·h (metric) 1.28 × 10⁻⁴
500 ft·lb 0.000256028 hp·h (metric) 2.56 × 10⁻⁴
1000 ft·lb 0.000512055 hp·h (metric) 5.121 × 10⁻⁴
Horsepower (metric) hour to Foot-pound: Reciprocal Summary
Horsepower (metric) hour to Foot-pound Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp·h (metric) 1952913.739827 ft·lb 1.953 × 10⁶
5 hp·h (metric) 9764568.699133 ft·lb 9.765 × 10⁶
10 hp·h (metric) 1.952914 × 10⁷ ft·lb 1.953 × 10⁷
50 hp·h (metric) 9.764569 × 10⁷ ft·lb 9.765 × 10⁷
100 hp·h (metric) 1.952914 × 10⁸ ft·lb 1.953 × 10⁸
View Complete 15-Row Horsepower (metric) hour to Foot-pound 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 Foot-pound (ft·lb) and Horsepower (metric) hour (hp·h (metric)):

Foot-pound References:

  • Mechanical energy required to raise a one-pound weight vertically by one foot (1.356 J) 1 ft·lb
  • Kinetic energy of a standard 9mm pistol handgun bullet projectile at muzzle 350 ft·lb

Horsepower (metric) hour References:

  • Mechanical work performed by one metric horsepower engine running for one hour (2.648 MJ) 1 hp·h (metric)

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

ISQ Dimension: [M L² T⁻²] Coherent SI Unit: joule (J) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Foot-pound to Horsepower (metric) hour

Converting Foot-pound (ft·lb) to Horsepower (metric) hour (hp·h (metric)) is a core calculation in Energy and Work, which quantifies the physical capacity to perform mechanical work, generate heat, or emit electromagnetic radiation. 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 equals 5.120554 × 10⁻⁷ Horsepower (metric) hour, while 1 hp·h (metric) equals 1952913.739827 ft·lb.

Direct Factor1 ft·lb = 5.120554 × 10⁻⁷ hp·h (metric)
Inverse Ratio1 hp·h (metric) = 1952913.739827 ft·lb
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 (joule (J)) 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·lb = 1.355818 joule (J)
2. Target SI Bridge (ktarget):1 hp·h (metric) = 2647795.5 joule (J)
Step-by-step substitution for Foot-pound → Horsepower (metric) hour:V(hp·h (metric)) = V(ft·lb) × ( 1.355818 / 2647795.5 ) = V(ft·lb) × 5.120554 × 10⁻⁷
Mathematical FormulaValue in Horsepower (metric) hour = Value in Foot-pound × 5.12055387 × 10⁻⁷Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 15 ft·lb, applying the conversion factor yields exactly 7.680831 × 10⁻⁶ hp·h (metric). At larger operational scale, 100 Foot-pound corresponds to 5.120554 × 10⁻⁵ hp·h (metric).

Inverse check: 1 hp·h (metric) = 1952913.739827 ft·lb.

Understanding Foot-pound and Horsepower (metric) hour

Foot-pound

ft·lb
Imperial / US

A Foot-pound (ft·lb) is an imperial and US customary unit for energy and work.

Applications & Practical Context

In practical energy terms, a mechanical energy required to raise a one-pound weight vertically by one foot (1.356 J) equals 1 ft·lb, a kinetic energy of a standard 9mm pistol handgun bullet projectile at muzzle equals 350 ft·lb.

Physical Setup

An energy quantity of 1 ft·lb corresponds to 1.355818 J (performing 1.355818 joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 ft·lb = 1.355818 J

Horsepower (metric) hour

hp·h (metric)
Standard Unit

A Horsepower (metric) hour (hp·h (metric)) is a recognized unit for energy and work.

Applications & Practical Context

In practical energy terms, a mechanical work performed by one metric horsepower engine running for one hour (2.648 MJ) equals 1 hp·h (metric).

Physical Setup

An energy quantity of 1 hp·h (metric) corresponds to 2647795.5 J (performing 2647795.5 joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 hp·h (metric) = 2647795.5 J

Domain Metrology & Engineering Applications

Governing Law & Equation

First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using isoperibol bomb calorimeters, optical laser pulse joulemeters, and digital revenue-grade electric energy meters.

Primary Industry Sectors

Applied across electric power utility metering, thermal energy storage design, chemical plant process enthalpies, and ballistic impact engineering under international metrology standard ISO 80000-5:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Horsepower (metric) hour
Mechanical energy required to raise a one-pound weight vertically by one foot (1.356 J)1 ft·lb5.120554 × 10⁻⁷ hp·h (metric)
Kinetic energy of a standard 9mm pistol handgun bullet projectile at muzzle350 ft·lb0.000179219 hp·h (metric)
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W) under ISO 80000 dimensional vector [M L² T⁻²].

Multi-Variable Engineering Bridge Thermal Enthalpy & Continuous Power

Energy to Continuous Operating Power Bridge (Watts • Kilowatts • Megawatts • Horsepower)

Calculate required average generating or consuming power P = E / t over specified timespans, bridging energy [M L² T⁻²] with continuous power [M L² T⁻³].

P = E / t
Vector: [J] ÷ [s] → [W]
Live Calculated Bridge Equivalent:
1 ft·lb at 1 Hour Continuous Run (3,600 s) = 0.0003766 W
Equals 3.7662 × 10⁻⁷ kW • 3.766161 × 10⁻¹⁰ MW • 5.0505 × 10⁻⁷ hp
SI Power
0.0003766
W
Watts
Grid / Utility
3.7662 × 10⁻⁷
kW
Kilowatts
Power Plant
3.766161 × 10⁻¹⁰
MW
Megawatts
Mechanical Rating
5.0505 × 10⁻⁷
hp
Horsepower (Mechanical)
Metric Horsepower
5.1206 × 10⁻⁷
PS
Metric Horsepower (PS)
HVAC Thermal Rating
0.0013
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (J):
    E = 1 ft·lb × 1.35581795 = 1.35581795 J
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
  3. 3. Execute Governing Physical Law in SI Units:
    P = E / t = (1.35581795 J) ÷ (3600 s) = 0.00037662 W
  4. 4. Convert to Standard Engineering Units:
    • W: 0.00037662 × 1 = 0.0003766 W (Watts) • kW: 0.00037662 × 0.001 = 3.7662 × 10⁻⁷ kW (Kilowatts) • MW: 0.00037662 × 1 × 10⁻⁶ = 3.766161 × 10⁻¹⁰ MW (Megawatts) • hp: 0.00037662 × 0.001341 = 5.0505 × 10⁻⁷ hp (Horsepower (Mechanical)) • PS: 0.00037662 × 0.00136 = 5.1206 × 10⁻⁷ PS (Metric Horsepower (PS)) • BTU/h: 0.00037662 × 3.4121 = 0.0013 BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (s) Reference State / Condition Typical Industrial & Engineering Application
1 Second Instant Discharge 1 1.0 s Peak pulse discharge rating
1 Minute Fast Delivery (60 s) 60 60 s EV fast acceleration or battery boost
1 Hour Continuous Run (3,600 s) 3600 3,600 s (1 hour) Standard 1-hour energy delivery
8 Hours (28,800 s) 28800 28,800 s (8 hours) Single shift continuous draw
24 Hours (86,400 s) 86400 86,400 s (24 hours) Full day steady-state consumption
Embed
Need this Foot-pound to Horsepower (metric) hour calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 5.12055387 × 10⁻⁷ horsepower (metric) hours (hp·h (metric)) in 1 foot-pound (ft·lb). To calculate larger amounts manually, simply multiply your total number of foot-pounds by the conversion multiplier of 5.12055387 × 10⁻⁷.

The mathematical formula to convert foot-pounds to horsepower (metric) hours is: [value] * 5.12055387 × 10⁻⁷ = horsepower (metric) hours. 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 horsepower (metric) hours back to foot-pounds, you must divide your starting value by 5.12055387 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the horsepower (metric) hour input field.

1 Horsepower (metric) hour is larger than 1 Foot-pound. Specifically, 1 Foot-pound equals 5.12055387 × 10⁻⁷ horsepower (metric) hours, meaning 1 Horsepower (metric) hour is 1952913.7398 times larger than 1 Foot-pound (a difference of 6.29 orders of magnitude). Expressing measurements in foot-pounds requires a larger numerical value to represent the equivalent physical magnitude.

A typical mechanical energy required to raise a one-pound weight vertically by one foot (1.356 J) measures 1 ft·lb, which corresponds to 5.1206 × 10⁻⁷ Horsepower Metric Hour (Horsepower (metric) hour).

Physically Coupled Chemical Engineering Converters

Explore interconnected physical dimension converters within the Chemical Engineering cluster (ISO 80000-9:2019).

View Hub
Concentration Molar Dimensional Hub & Tools
Concentration Solution Dimensional Hub & Tools
Flow Molar Dimensional Hub & Tools
Specific Fuel Consumption Dimensional Hub & Tools