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Therms (US) to Horsepower (metric) hours Converter (thm (US) to hp·h (metric))

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Live Conversion • ISO 80000-5:2019 Certified
1 Therm (US) = 39.83706563 Horsepower (metric) hour
1 thm (US) = 39.837066 hp·h (metric) • 1 hp·h (metric) = 0.0251023 thm (US)
Therm (US) to Horsepower (metric) hour: One Therm (US) is equal to 39.83706563 Horsepower (metric) hours.
Certified Authority Value
39.83706563
hp·h (metric)
Exact: 1 hp·h (metric) ≡ 0.02510225048 thm (US)
thm (US)
thm (US)
Swap to Horsepower (metric) hour to Therm (US)
Swap to Horsepower (metric) hour to Therm (US)
hp·h (metric)
hp·h (metric) 39.83706563
Quick Values:
Conversion Formula
To convert Therm (US) to Horsepower (metric) hour, multiply by 39.83706563
thm (US) × 39.83706563 = hp·h (metric)

Calculation: 1 thm (US) × 39.83706563 = 39.83706563 hp·h (metric)

Common Therm (US) to Horsepower (metric) hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Therm (US) (thm (US)) and Horsepower (metric) hour (hp·h (metric)).

Tap any row to calculate
Therm (US) to Horsepower (metric) hour: Primary Direct Table (15 Steps)
Therm (US) to Horsepower (metric) hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 thm (US) 0.0398371 hp·h (metric) 3.984 × 10⁻²
0.01 thm (US) 0.398371 hp·h (metric) 3.984 × 10⁻¹
0.1 thm (US) 3.983707 hp·h (metric) 3.984 × 10⁰
0.5 thm (US) 19.918533 hp·h (metric) 1.992 × 10¹
1 thm (US) 39.837066 hp·h (metric) 3.984 × 10¹
2 thm (US) 79.674131 hp·h (metric) 7.967 × 10¹
5 thm (US) 199.185328 hp·h (metric) 1.992 × 10²
10 thm (US) 398.370656 hp·h (metric) 3.984 × 10²
20 thm (US) 796.741313 hp·h (metric) 7.967 × 10²
25 thm (US) 995.926641 hp·h (metric) 9.959 × 10²
50 thm (US) 1991.853282 hp·h (metric) 1.992 × 10³
100 thm (US) 3983.706563 hp·h (metric) 3.984 × 10³
250 thm (US) 9959.266408 hp·h (metric) 9.959 × 10³
500 thm (US) 19918.532816 hp·h (metric) 1.992 × 10⁴
1000 thm (US) 39837.065632 hp·h (metric) 3.984 × 10⁴
Horsepower (metric) hour to Therm (US): Reciprocal Summary
Horsepower (metric) hour to Therm (US) Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp·h (metric) 0.0251023 thm (US) 2.51 × 10⁻²
5 hp·h (metric) 0.125511 thm (US) 1.255 × 10⁻¹
10 hp·h (metric) 0.251023 thm (US) 2.51 × 10⁻¹
50 hp·h (metric) 1.255113 thm (US) 1.255 × 10⁰
100 hp·h (metric) 2.510225 thm (US) 2.51 × 10⁰
View Complete 15-Row Horsepower (metric) hour to Therm (US) 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 Therm (US) (thm (US)) and Horsepower (metric) hour (hp·h (metric)):

Therm (US) References:

  • United States legal utility gas measurement therm standard (105.4804 MJ) 1 thm (US)

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 Therm (US) to Horsepower (metric) hour

Converting Therm (US) (thm (US)) 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 Therm (US) equals 39.837066 Horsepower (metric) hour, while 1 hp·h (metric) equals 0.0251023 thm (US).

Direct Factor1 thm (US) = 39.837066 hp·h (metric)
Inverse Ratio1 hp·h (metric) = 0.0251023 thm (US)
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 thm (US) = 1.054804 × 10⁸ joule (J)
2. Target SI Bridge (ktarget):1 hp·h (metric) = 2647795.5 joule (J)
Step-by-step substitution for Therm (US) → Horsepower (metric) hour:V(hp·h (metric)) = V(thm (US)) × ( 1.054804 × 10⁸ / 2647795.5 ) = V(thm (US)) × 39.837066
Mathematical FormulaValue in Horsepower (metric) hour = Value in Therm (US) × 39.83706563Direct computational formula applied for standard conversion.
Worked Example

Converting 36 thm (US) yields an exact output of 1434.134363 hp·h (metric) in Horsepower (metric) hour. Under higher industrial throughput, 10000 thm (US) translates to 398370.656315 hp·h (metric).

Inverse check: 1 hp·h (metric) = 0.0251023 thm (US).

Understanding Therm (US) and Horsepower (metric) hour

Therm (US)

thm (US)
Imperial / US

A Therm (US) (thm (US)) is an imperial and US customary unit for energy and work.

Applications & Practical Context

In practical energy terms, a united States legal utility gas measurement therm standard (105.4804 MJ) equals 1 thm (US).

Physical Setup

An energy quantity of 1 thm (US) corresponds to 1.054804 × 10⁸ J (performing 1.054804 × 10⁸ joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 thm (US) = 1.054804 × 10⁸ 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
United States legal utility gas measurement therm standard (105.4804 MJ)1 thm (US)39.837066 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 thm (US) at 1 Hour Continuous Run (3,600 s) = 29300.112 W
Equals 29.3001 kW • 0.0293001 MW • 39.2921 hp
SI Power
29300.112
W
Watts
Grid / Utility
29.3001
kW
Kilowatts
Power Plant
0.0293001
MW
Megawatts
Mechanical Rating
39.2921
hp
Horsepower (Mechanical)
Metric Horsepower
39.8371
PS
Metric Horsepower (PS)
HVAC Thermal Rating
99976.13
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (J):
    E = 1 thm (US) × 1.05480403 × 10⁸ = 1.05480403 × 10⁸ 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 = (1.05480403 × 10⁸ J) ÷ (3600 s) = 29300.111976 W
  4. 4. Convert to Standard Engineering Units:
    • W: 29300.111976 × 1 = 29300.112 W (Watts) • kW: 29300.111976 × 0.001 = 29.3001 kW (Kilowatts) • MW: 29300.111976 × 1 × 10⁻⁶ = 0.0293001 MW (Megawatts) • hp: 29300.111976 × 0.001341 = 39.2921 hp (Horsepower (Mechanical)) • PS: 29300.111976 × 0.00136 = 39.8371 PS (Metric Horsepower (PS)) • BTU/h: 29300.111976 × 3.4121 = 99976.13 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
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Frequently Asked Questions

There are exactly 39.83706563 horsepower (metric) hours (hp·h (metric)) in 1 therm (us) (thm (US)). To calculate larger amounts manually, simply multiply your total number of therms (us) by the conversion multiplier of 39.83706563.

The mathematical formula to convert therms (us) to horsepower (metric) hours is: [value] * 39.83706563 = 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 therms (us), you must divide your starting value by 39.83706563. Our bidirectional tool automatically computes this inverse equation the moment you type into the horsepower (metric) hour input field.

1 Therm (US) is larger than 1 Horsepower (metric) hour. Specifically, 1 Therm (US) equals exactly 39.83706563 horsepower (metric) hours, making it 39.8371 times larger (a difference of 1.60 orders of magnitude). Therefore, quantities expressed in horsepower (metric) hours require a larger numerical value to represent the same physical amount.

A typical united States legal utility gas measurement therm standard (105.4804 MJ) measures 1 thm (US), which corresponds to 39.8371 Horsepower Metric Hour (Horsepower (metric) hour).

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