How do you calculate horsepower from torque and RPM?

Horsepower (hp) = [Torque (lb·ft) × RPM] / 5252. In SI units, Power (Watts) = Torque (N·m) × [RPM × 2π / 60]. For example, an engine producing 400 N·m (295 lb·ft) of torque at 5,252 RPM generates exactly 295 hp (220 kW).

Why does horsepower equal torque at 5252 RPM?

In imperial units, 1 horsepower is defined as 33,000 ft·lb/min. Since one revolution covers 2π radians, dividing 33,000 by 2π yields 5252.11. Therefore, when rotating at 5,252 RPM, torque in lb·ft numerically equals horsepower.

Kilogram-force centimeter to Ounce-force inch (kgf·cm to ozf·in) Formula

Rate this converter

Live Conversion • ISO 80000-4:2019 Certified

1 Kilogram-force centimeter = 13.88738659 Ounce-force inch

1 kgf·cm = 13.887387 ozf·in • 1 ozf·in = 0.0720078 kgf·cm

Decimals:

Certified Authority Value

13.88738659

ozf·in

From / Input

kgf·cm

Swap to Ounce-force inch to Kilogram-force centimeter

To / Result

ozf·in

Quick Values:

1 kgf·cm 5 kgf·cm 10 kgf·cm 25 kgf·cm 50 kgf·cm 100 kgf·cm 250 kgf·cm 500 kgf·cm 1,000 kgf·cm

Conversion Formula

To convert Kilogram-force centimeter to Ounce-force inch, multiply by 13.88738659

kgf·cm × 13.88738659 = ozf·in

Calculation: 1 kgf·cm × 13.88738659 = 13.88738659 ozf·in

Common Kilogram-force centimeter to Ounce-force inch Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilogram-force centimeter (kgf·cm) and Ounce-force inch (ozf·in).

Tap any row to calculate

Kilogram-force centimeter to Ounce-force inch: Primary Direct Table (15 Steps)

Rule: 1 Kilogram-force centimeter is equal to 13.887387 ozf·in (Ounce-force inch)

Kilogram-force centimeter to Ounce-force inch Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 kgf·cm is equal to 0.0138874 ozf·in (Ounce-force inch)	1.389 × 10⁻²
0.01 kgf·cm is equal to 0.138874 ozf·in (Ounce-force inch)	1.389 × 10⁻¹
0.1 kgf·cm is equal to 1.388739 ozf·in (Ounce-force inch)	1.389 × 10⁰
0.5 kgf·cm is equal to 6.943693 ozf·in (Ounce-force inch)	6.944 × 10⁰
1 kgf·cm is equal to 13.887387 ozf·in (Ounce-force inch)	1.389 × 10¹
2 kgf·cm is equal to 27.774773 ozf·in (Ounce-force inch)	2.777 × 10¹
5 kgf·cm is equal to 69.436933 ozf·in (Ounce-force inch)	6.944 × 10¹
10 kgf·cm is equal to 138.873866 ozf·in (Ounce-force inch)	1.389 × 10²
20 kgf·cm is equal to 277.747732 ozf·in (Ounce-force inch)	2.777 × 10²
25 kgf·cm is equal to 347.184665 ozf·in (Ounce-force inch)	3.472 × 10²
50 kgf·cm is equal to 694.36933 ozf·in (Ounce-force inch)	6.944 × 10²
100 kgf·cm is equal to 1388.738659 ozf·in (Ounce-force inch)	1.389 × 10³
250 kgf·cm is equal to 3471.846649 ozf·in (Ounce-force inch)	3.472 × 10³
500 kgf·cm is equal to 6943.693297 ozf·in (Ounce-force inch)	6.944 × 10³
1000 kgf·cm is equal to 13887.386594 ozf·in (Ounce-force inch)	1.389 × 10⁴

Ounce-force inch to Kilogram-force centimeter: Reciprocal Summary

Rule: 1 Ounce-force inch is equal to 0.0720078 kgf·cm (Kilogram-force centimeter)

Ounce-force inch to Kilogram-force centimeter Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 ozf·in is equal to 0.0720078 kgf·cm (Kilogram-force centimeter)	7.201 × 10⁻²
5 ozf·in is equal to 0.360039 kgf·cm (Kilogram-force centimeter)	3.6 × 10⁻¹
10 ozf·in is equal to 0.720078 kgf·cm (Kilogram-force centimeter)	7.201 × 10⁻¹
50 ozf·in is equal to 3.600389 kgf·cm (Kilogram-force centimeter)	3.6 × 10⁰
100 ozf·in is equal to 7.200779 kgf·cm (Kilogram-force centimeter)	7.201 × 10⁰

View Complete 15-Row Ounce-force inch to Kilogram-force centimeter 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 Kilogram-force centimeter (kgf·cm) and Ounce-force inch (ozf·in):

Kilogram-force centimeter References:

Robotics hobby RC digital servo motor stall torque rating 15 kgf·cm
Cordless electric household screwdriver maximum fastening torque 50 kgf·cm
Automotive power window electric regulator gear torque 80 kgf·cm

Ounce-force inch References:

Small stepper motor torque used in 3D printers and scanners 60 ozf·in

Tap any benchmark above to automatically calculate its exact equivalent in Ounce-force inch.

ISQ Dimension: [M L² T⁻²] Coherent SI Unit: newton meter (N·m) Classical Mechanics & Dimensional Metrology

How to Convert Kilogram-force centimeter to Ounce-force inch

Converting Kilogram-force centimeter (kgf·cm) to Ounce-force inch (ozf·in) is a core calculation in Torque and Moment of Force, which measures the rotational or twisting force acting upon an object about an axis, pivot, or fulcrum. 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 Kilogram-force centimeter equals 13.887387 Ounce-force inch, while 1 ozf·in equals 0.0720078 kgf·cm.

Direct Factor1 kgf·cm = 13.887387 ozf·in

Inverse Ratio1 ozf·in = 0.0720078 kgf·cm

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 (newton meter (N·m)) 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 kgf·cm = 0.0980665 newton meter (N·m)

2. Target SI Bridge (k_target):1 ozf·in = 0.00706155 newton meter (N·m)

Step-by-step substitution for Kilogram-force centimeter → Ounce-force inch:V(ozf·in) = V(kgf·cm) × ( 0.0980665 / 0.00706155 ) = V(kgf·cm) × 13.887387

Mathematical FormulaValue in Ounce-force inch = Value in Kilogram-force centimeter × 13.88738659Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 15 kgf·cm, applying the conversion factor yields exactly 208.310799 ozf·in. At larger operational scale, 100 Kilogram-force centimeter corresponds to 1388.738659 ozf·in.

Inverse check: 1 ozf·in = 0.0720078 kgf·cm.

Understanding Kilogram-force centimeter and Ounce-force inch

Domain Metrology & Engineering Applications

Governing Law & Equation

Rotational Moment Vector Cross Product (τ = r × F)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using flanged rotary torque transducers, calibrated digital torque wrenches, and engine dynamometers.

Primary Industry Sectors

Applied across automotive powertrain calibration, wind turbine gearboxes, precision aerospace bolted assembly, and industrial pumps 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 Ounce-force inch
Robotics hobby RC digital servo motor stall torque rating	`15 kgf·cm`	`208.310799 ozf·in`
Cordless electric household screwdriver maximum fastening torque	`50 kgf·cm`	`694.36933 ozf·in`
Automotive power window electric regulator gear torque	`80 kgf·cm`	`1110.990928 ozf·in`

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 Rotational Moment Vector Cross Product (τ = r × F) under ISO 80000 dimensional vector [M L² T⁻²].

Multi-Variable Engineering Bridge Drivetrain Dynamics & Shaft Power

Rotational Power & Motor Torque Bridge (kW • Horsepower • N·m • lb·ft • RPM • Rad/s)

Bridge rotational torque [M L² T⁻²] and shaft mechanical power [M L² T⁻³] across electric motors, engines, and gearboxes via rotational shaft dynamics P = τ × ω.

Input Shaft Torque (τ): kgf·cm

Select Shaft Operating Speed (RPM): 188.5 rad/s (from RPM)

Coupling: P = τ × ω

Forward Reverse

Live Calculated Bridge Equivalent:

1 kgf·cm at 1,800 RPM (4-Pole 60Hz US Industrial Motor) = 0.01849 kW

Equals 0.02479 hp • 0.02513 PS / cv • 18.4855 W

IEC Motor Standard

0.01849

Kilowatts

NEMA & Automotive

0.02479

Mechanical Horsepower

DIN Automotive

0.02513

PS / cv

Metric Horsepower

SI Standard

18.4855

Watts

Grid Turbines

1.848554 × 10⁻⁵

Megawatts

Imperial Power

13.6342

ft·lb/s

Foot-Pounds per Second

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (N·m):
τ = 1 kgf·cm × 0.0980665 = 0.0980665 N·m
2. Apply Engineering Parameter (ω):
Selected condition: 1,800 RPM (4-Pole 60Hz US Industrial Motor) at ω = 188.5 rad/s (from RPM)
3. Execute Governing Physical Law in SI Units:
P = τ × ω = (0.0980665) × (188.5) = 18.485535 W
4. Convert to Standard Engineering Units:
• kW: 18.485535 × 0.001 = 0.01849 kW (Kilowatts) • hp: 18.485535 × 0.001341 = 0.02479 hp (Mechanical Horsepower) • PS / cv: 18.485535 × 0.00136 = 0.02513 PS / cv (Metric Horsepower) • W: 18.485535 × 1 = 18.4855 W (Watts) • MW: 18.485535 × 1 × 10⁻⁶ = 1.848554 × 10⁻⁵ MW (Megawatts) • ft·lb/s: 18.485535 × 0.7376 = 13.6342 ft·lb/s (Foot-Pounds per Second)

Explore Full Power Converter →

Engineering Substance / Operating Standard	Parameter Value (rad/s (from RPM))	Reference State / Condition	Typical Industrial & Engineering Application
500 RPM (Slow Agitator / Marine Diesel)	`52.36`	ω = 500 × 2π / 60	Industrial mixer, pump jack & slow diesel output
1,000 RPM (Low-Speed Machine Tool Spindle)	`104.72`	ω = 1000 × 2π / 60	Heavy lathe chuck & milling arbor
1,500 RPM (4-Pole 50Hz AC Induction Motor)	`157.08`	Synchronous 50Hz 4-pole	European standard industrial electric motor
1,800 RPM (4-Pole 60Hz US Industrial Motor)	`188.5`	Synchronous 60Hz 4-pole	North American NEMA electric motor standard
3,000 RPM (2-Pole 50Hz Generator / Turbine)	`314.16`	Synchronous 50Hz 2-pole	European 2-pole synchronous power generation
3,600 RPM (2-Pole 60Hz US Generator)	`376.99`	Synchronous 60Hz 2-pole	North American 2-pole gas generator prime mover
6,000 RPM (Internal Combustion Engine Redline)	`628.32`	High-revving automotive V6/V8	Automotive peak power dyno operating point
10,000 RPM (EV Traction Motor - High Speed)	`1047.2`	Modern electric vehicle gearbox input	Permanent magnet synchronous EV drivetrain
15,000 RPM (Formula 1 Turbo Power Unit)	`1570.8`	FIA technical regulation limit	Motorsport hybrid MGU-K & ICE maximum revs

Frequently Asked Questions

There are exactly 13.88738659 ounce-force inches (ozf·in) in 1 kilogram-force centimeter (kgf·cm). To calculate larger amounts manually, simply multiply your total number of kilogram-force centimeters by the conversion multiplier of 13.88738659.

The mathematical formula to convert kilogram-force centimeters to ounce-force inches is: [value] * 13.88738659 = ounce-force inches. 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 ounce-force inches back to kilogram-force centimeters, you must divide your starting value by 13.88738659. Our bidirectional tool automatically computes this inverse equation the moment you type into the ounce-force inch input field.

1 Kilogram-force centimeter is larger than 1 Ounce-force inch. Specifically, 1 Kilogram-force centimeter equals exactly 13.88738659 ounce-force inches, making it 13.8874 times larger (a difference of 1.14 orders of magnitude). Therefore, quantities expressed in ounce-force inches require a larger numerical value to represent the same physical amount.

A typical robotics hobby RC digital servo motor stall torque rating measures 15 kgf·cm, which corresponds to 208.3108 ozf·in (Ounce-force inch).

There are exactly 13.8874 ozf·in in 1 kgf·cm.

The conversion formula is V(ozf·in) = V(kgf·cm) × 13.8874.

The reverse formula is V(kgf·cm) = V(ozf·in) × 0.0720078.

Ounce-force inch (ozf·in) is the standard Imperial unit for measuring the output torque of NEMA stepper motors and delicate instrument mechanisms.

Related Kilogram-force centimeter and Ounce-force inch Conversions

Convert Kilogram-force centimeter to Other Units

Kilogram-force centimeter to Newton meter Kilogram-force centimeter to Dyne centimeter Kilogram-force centimeter to Gram-force meter Kilogram-force centimeter to Gram-force centimeter Kilogram-force centimeter to Kilogram-force meter Kilogram-force centimeter to Pound-force foot Kilogram-force centimeter to Pound-force inch Kilogram-force centimeter to Kilonewton meter

Convert Other Units to Ounce-force inch

Newton meter to Ounce-force inch Dyne centimeter to Ounce-force inch Gram-force meter to Ounce-force inch Gram-force centimeter to Ounce-force inch Kilogram-force meter to Ounce-force inch Pound-force foot to Ounce-force inch Pound-force inch to Ounce-force inch Kilonewton meter to Ounce-force inch

Similar Categories

Length Converters Weight and Mass Converters Area Converters Volume Converters Speed Converters Acceleration Converters Force Converters Pressure Converters Density Converters Power Converters

Popular tools