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

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Live Conversion • ISO 80000-4:2019 Certified
1 Calorie (th)/second = 0.0056886568 Horsepower (metric)
1 cal (th)/s = 0.00568866 hp (metric) • 1 hp (metric) = 175.78842 cal (th)/s
Calorie (th)/second to Horsepower (metric): One Calorie (th)/second is equal to 0.0056886568 Horsepowers (metric).
Certified Authority Value
0.00568866
hp (metric)
Exact: 1 hp (metric) ≡ 175.7884201721 cal (th)/s
cal (th)/s
cal (th)/s
Swap to Horsepower (metric) to Calorie (th)/second
hp (metric)
hp (metric) 0.0056886568
Quick Values:
1 cal (th)/s 5 cal (th)/s 10 cal (th)/s 25 cal (th)/s 50 cal (th)/s 100 cal (th)/s 250 cal (th)/s 500 cal (th)/s 1,000 cal (th)/s
Conversion Formula
To convert Calorie (th)/second to Horsepower (metric), multiply by 0.0056886568
cal (th)/s × 0.0056886568 = hp (metric)

Calculation: 1 cal (th)/s × 0.0056886568 = 0.0056886568 hp (metric)

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

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

Tap any row to calculate
Calorie (th)/second to Horsepower (metric): Primary Direct Table (15 Steps)
Calorie (th)/second to Horsepower (metric) Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/s is equal to 5.688657 × 10⁻⁶ hp (metric) (Horsepower (metric)) 5.689 × 10⁻⁶
0.01 cal (th)/s is equal to 5.688657 × 10⁻⁵ hp (metric) (Horsepower (metric)) 5.689 × 10⁻⁵
0.1 cal (th)/s is equal to 0.000568866 hp (metric) (Horsepower (metric)) 5.689 × 10⁻⁴
0.5 cal (th)/s is equal to 0.00284433 hp (metric) (Horsepower (metric)) 2.844 × 10⁻³
1 cal (th)/s is equal to 0.00568866 hp (metric) (Horsepower (metric)) 5.689 × 10⁻³
2 cal (th)/s is equal to 0.0113773 hp (metric) (Horsepower (metric)) 1.138 × 10⁻²
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
20 cal (th)/s is equal to 0.113773 hp (metric) (Horsepower (metric)) 1.138 × 10⁻¹
25 cal (th)/s is equal to 0.142216 hp (metric) (Horsepower (metric)) 1.422 × 10⁻¹
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
250 cal (th)/s is equal to 1.422164 hp (metric) (Horsepower (metric)) 1.422 × 10⁰
500 cal (th)/s is equal to 2.844328 hp (metric) (Horsepower (metric)) 2.844 × 10⁰
1000 cal (th)/s is equal to 5.688657 hp (metric) (Horsepower (metric)) 5.689 × 10⁰
Horsepower (metric) to Calorie (th)/second: Reciprocal Summary
Horsepower (metric) to Calorie (th)/second Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 hp (metric) is equal to 175.78842 cal (th)/s (Calorie (th)/second) 1.758 × 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
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
View Complete 15-Row Horsepower (metric) to Calorie (th)/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 Calorie (th)/second (cal (th)/s) and Horsepower (metric) (hp (metric)):

Calorie (th)/second References:

  • Thermochemical calorie per second heat transfer rate (4.184 W) 1 cal_th/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 Calorie (th)/second to Horsepower (metric)

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

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

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 cal (th)/s = 4.184 watt (W)
2. Target SI Bridge (ktarget):1 hp (metric) = 735.49875 watt (W)
Step-by-step substitution for Calorie (th)/second → Horsepower (metric):V(hp (metric)) = V(cal (th)/s) × ( 4.184 / 735.49875 ) = V(cal (th)/s) × 0.00568866
Mathematical FormulaValue in Horsepower (metric) = Value in Calorie (th)/second × 0.0056886568Direct computational formula applied for standard conversion.
Worked Example

Converting 8 cal (th)/s yields an exact output of 0.0455093 hp (metric) in Horsepower (metric). Under higher industrial throughput, 240 cal (th)/s translates to 1.365278 hp (metric).

Inverse check: 1 hp (metric) = 175.78842 cal (th)/s.

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

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

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

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 Horsepower (metric)
Thermochemical calorie per second heat transfer rate (4.184 W)1 cal_th/s0.00568866 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 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 cal (th)/s at 1-Hour Standard Benchmark Runtime = 0.004184 kWh
Equals 0.01506 MJ • 14.28 BTU • 15062.4 J
Utility Standard
0.004184
kWh
Kilowatt-Hours
SI Metric Energy
0.01506
MJ
Megajoules
HVAC & Thermal
14.28
BTU
British Thermal Units
SI Base Unit
15062.4
J
Joules
Grid Power Scale
4.184 × 10⁻⁶
MWh
Megawatt-Hours
Mechanical Work
0.005611
hp·h
Horsepower-Hours
  1. 1. Normalize Input to SI Base Unit (W):
    P = 1 cal (th)/s × 4.184 = 4.184 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 = (4.184) × (3600) = 15062.4 J
  4. 4. Convert to Standard Engineering Units:
    • kWh: 15062.4 × 2.7778 × 10⁻⁷ = 0.004184 kWh (Kilowatt-Hours) • MJ: 15062.4 × 1 × 10⁻⁶ = 0.01506 MJ (Megajoules) • BTU: 15062.4 × 0.0009478 = 14.28 BTU (British Thermal Units) • J: 15062.4 × 1 = 15062.4 J (Joules) • MWh: 15062.4 × 2.7778 × 10⁻¹⁰ = 4.184 × 10⁻⁶ MWh (Megawatt-Hours) • hp·h: 15062.4 × 3.7251 × 10⁻⁷ = 0.005611 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 0.0056886568 horsepowers (metric) (hp (metric)) in 1 calorie (th)/second (cal (th)/s). To calculate larger amounts manually, simply multiply your total number of calories (th)/second by the conversion multiplier of 0.0056886568.

The mathematical formula to convert calories (th)/second to horsepowers (metric) is: [value] * 0.0056886568 = 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 calories (th)/second, you must divide your starting value by 0.0056886568. 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 Calorie (th)/second. Specifically, 1 Calorie (th)/second equals 0.0056886568 horsepowers (metric), meaning 1 Horsepower (metric) is 175.7884 times larger than 1 Calorie (th)/second (a difference of 2.24 orders of magnitude). Expressing measurements in calories (th)/second requires a larger numerical value to represent the equivalent physical magnitude.

A typical thermochemical calorie per second heat transfer rate (4.184 W) measures 1 cal_th/s, which corresponds to 0.005689 hp (M) (Horsepower (metric)).

There is exactly 0.00568864 hp (metric) in 1 cal (th)/s. Metric horsepower (PS or cv) is defined as 735.49875 W, making the exact factor 1 cal (th)/s = 0.00568864 hp (metric).

To perform the calculation, multiply the value in calories (th) per second by 0.00568864. The rigorous mathematical formula is V(hp (metric)) = V(cal (th)/s) × 0.00568864.

To convert metric horsepower back to thermochemical calories per second, multiply by 175.789. The inverse conversion equation is V(cal (th)/s) = V(hp (metric)) × 175.789.

Metric horsepower is historically used in Europe and Asia for defining internal combustion engine output, electric motor ratings, and thermodynamic heat engine efficiency standards.

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