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Horsepower (metric) to Calorie (th)/second (hp (metric) to cal (th)/s) Calculator

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Live Conversion • ISO 80000-4:2019 Certified
1 Horsepower (metric) = 175.78842017 Calorie (th)/second
1 hp (metric) = 175.78842 cal (th)/s • 1 cal (th)/s = 0.00568866 hp (metric)
Horsepower (metric) to Calorie (th)/second: One Horsepower (metric) is equal to 175.78842017 Calories (th)/second.
Certified Authority Value
175.78842017
cal (th)/s
Exact: 1 cal (th)/s ≡ 0.005688656847 hp (metric)
hp (metric)
hp (metric)
Swap to Calorie (th)/second to Horsepower (metric)
cal (th)/s
cal (th)/s 175.78842017
Quick Values:
1 hp (metric) 5 hp (metric) 10 hp (metric) 25 hp (metric) 50 hp (metric) 100 hp (metric) 250 hp (metric) 500 hp (metric) 1,000 hp (metric)
Conversion Formula
To convert Horsepower (metric) to Calorie (th)/second, multiply by 175.78842017
hp (metric) × 175.78842017 = cal (th)/s

Calculation: 1 hp (metric) × 175.78842017 = 175.78842017 cal (th)/s

Common Horsepower (metric) to Calorie (th)/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Horsepower (metric) (hp (metric)) and Calorie (th)/second (cal (th)/s).

Tap any row to calculate
Horsepower (metric) to Calorie (th)/second: Primary Direct Table (15 Steps)
Horsepower (metric) to Calorie (th)/second Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 hp (metric) is equal to 0.175788 cal (th)/s (Calorie (th)/second) 1.758 × 10⁻¹
0.01 hp (metric) is equal to 1.757884 cal (th)/s (Calorie (th)/second) 1.758 × 10⁰
0.1 hp (metric) is equal to 17.578842 cal (th)/s (Calorie (th)/second) 1.758 × 10¹
0.5 hp (metric) is equal to 87.89421 cal (th)/s (Calorie (th)/second) 8.789 × 10¹
1 hp (metric) is equal to 175.78842 cal (th)/s (Calorie (th)/second) 1.758 × 10²
2 hp (metric) is equal to 351.57684 cal (th)/s (Calorie (th)/second) 3.516 × 10²
5 hp (metric) is equal to 878.942101 cal (th)/s (Calorie (th)/second) 8.789 × 10²
10 hp (metric) is equal to 1757.884202 cal (th)/s (Calorie (th)/second) 1.758 × 10³
20 hp (metric) is equal to 3515.768403 cal (th)/s (Calorie (th)/second) 3.516 × 10³
25 hp (metric) is equal to 4394.710504 cal (th)/s (Calorie (th)/second) 4.395 × 10³
50 hp (metric) is equal to 8789.421009 cal (th)/s (Calorie (th)/second) 8.789 × 10³
100 hp (metric) is equal to 17578.842017 cal (th)/s (Calorie (th)/second) 1.758 × 10⁴
250 hp (metric) is equal to 43947.105043 cal (th)/s (Calorie (th)/second) 4.395 × 10⁴
500 hp (metric) is equal to 87894.210086 cal (th)/s (Calorie (th)/second) 8.789 × 10⁴
1000 hp (metric) is equal to 175788.420172 cal (th)/s (Calorie (th)/second) 1.758 × 10⁵
Calorie (th)/second to Horsepower (metric): Reciprocal Summary
Calorie (th)/second to Horsepower (metric) Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 cal (th)/s is equal to 0.00568866 hp (metric) (Horsepower (metric)) 5.689 × 10⁻³
5 cal (th)/s is equal to 0.0284433 hp (metric) (Horsepower (metric)) 2.844 × 10⁻²
10 cal (th)/s is equal to 0.0568866 hp (metric) (Horsepower (metric)) 5.689 × 10⁻²
50 cal (th)/s is equal to 0.284433 hp (metric) (Horsepower (metric)) 2.844 × 10⁻¹
100 cal (th)/s is equal to 0.568866 hp (metric) (Horsepower (metric)) 5.689 × 10⁻¹
View Complete 15-Row Calorie (th)/second to Horsepower (metric) 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 Horsepower (metric) (hp (metric)) and Calorie (th)/second (cal (th)/s):

Horsepower (metric) References:

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

Calorie (th)/second References:

  • Thermochemical calorie per second heat transfer rate (4.184 W) 1 cal_th/s

Tap any benchmark above to automatically calculate its exact equivalent in Calorie (th)/second.

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

How to Convert Horsepower (metric) to Calorie (th)/second

Converting Horsepower (metric) (hp (metric)) to Calorie (th)/second (cal (th)/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 175.78842 Calorie (th)/second, while 1 cal (th)/s equals 0.00568866 hp (metric).

Direct Factor1 hp (metric) = 175.78842 cal (th)/s
Inverse Ratio1 cal (th)/s = 0.00568866 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:

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 hp (metric) = 735.49875 watt (W)
2. Target SI Bridge (ktarget):1 cal (th)/s = 4.184 watt (W)
Step-by-step substitution for Horsepower (metric) → Calorie (th)/second:V(cal (th)/s) = V(hp (metric)) × ( 735.49875 / 4.184 ) = V(hp (metric)) × 175.78842
Mathematical FormulaValue in Calorie (th)/second = Value in Horsepower (metric) × 175.78842017Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 12 Horsepower (metric) (hp (metric)) produces 2109.461042 Calorie (th)/second (cal (th)/s). In heavy-duty utility and industrial workloads, 2500 hp (metric) equals 439471.05043 cal (th)/s.

Inverse check: 1 cal (th)/s = 0.00568866 hp (metric).

Understanding Horsepower (metric) and Calorie (th)/second

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

Calorie (th)/second

cal (th)/s
Standard Unit

A Calorie (th)/second (cal (th)/s) is a recognized unit for power.

Applications & Practical Context

In practical power terms, a thermochemical calorie per second heat transfer rate (4.184 W) equals 1 cal_th/s.

Physical Setup

A power rating of 1 cal (th)/s corresponds to 4.184 W (transferring energy at a rate of 4.184 joules per second).

Conversion to SI Unit: watt (W)
1 cal (th)/s = 4.184 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 Calorie (th)/second
European metric horsepower (DIN 70020) engine power rating standard (735.5 W)1 hp (metric)175.78842 cal (th)/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 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 hp (metric) at 1-Hour Standard Benchmark Runtime = 0.7355 kWh
Equals 2.6478 MJ • 2509.63 BTU • 2647795.5 J
Utility Standard
0.7355
kWh
Kilowatt-Hours
SI Metric Energy
2.6478
MJ
Megajoules
HVAC & Thermal
2509.63
BTU
British Thermal Units
SI Base Unit
2647795.5
J
Joules
Grid Power Scale
0.0007355
MWh
Megawatt-Hours
Mechanical Work
0.9863
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 hp (metric) × 735.49875 = 735.49875 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 = (735.49875) × (3600) = 2647795.5 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 2647795.5 × 2.7778 × 10⁻⁷ = 0.7355 kWh (Kilowatt-Hours) • MJ: 2647795.5 × 1 × 10⁻⁶ = 2.6478 MJ (Megajoules) • BTU: 2647795.5 × 0.0009478 = 2509.63 BTU (British Thermal Units) • J: 2647795.5 × 1 = 2647795.5 J (Joules) • MWh: 2647795.5 × 2.7778 × 10⁻¹⁰ = 0.0007355 MWh (Megawatt-Hours) • hp·h: 2647795.5 × 3.7251 × 10⁻⁷ = 0.9863 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 175.78842017 calories (th)/second (cal (th)/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 175.78842017.

The mathematical formula to convert horsepowers (metric) to calories (th)/second is: [value] * 175.78842017 = calories (th)/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 calories (th)/second back to horsepowers (metric), you must divide your starting value by 175.78842017. Our bidirectional tool automatically computes this inverse equation the moment you type into the calorie (th)/second input field.

1 Horsepower (metric) is larger than 1 Calorie (th)/second. Specifically, 1 Horsepower (metric) equals exactly 175.78842017 calories (th)/second, making it 175.7884 times larger (a difference of 2.24 orders of magnitude). Therefore, quantities expressed in calories (th)/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 175.7884 Calorie Th Per Second (Calorie (th)/second).

Exactly 1 hp (metric) = 175.789 cal (th)/s based on thermochemical definitions.

The thermodynamic equation is V(cal (th)/s) = V(hp (metric)) × 175.789.

Use the inverse coefficient: V(hp (metric)) = V(cal (th)/s) × 0.00568864.

This conversion calculates the thermal dissipation rate of mechanical engines, where 1 metric horsepower generates approximately 175.8 thermochemical calories per second of heat.

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