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 Pound-force foot (kgf·cm to lbf·ft) Calculator

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Live Conversion • ISO 80000-4:2019 Certified

1 Kilogram-force centimeter = 0.072330139 Pound-force foot

1 kgf·cm = 0.0723301 lbf·ft • 1 lbf·ft = 13.825495 kgf·cm

Decimals:

Certified Authority Value

0.07233014

lbf·ft

From / Input

kgf·cm

Swap to Pound-force foot to Kilogram-force centimeter

To / Result

lbf·ft

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 Pound-force foot, multiply by 0.072330139

kgf·cm × 0.072330139 = lbf·ft

Calculation: 1 kgf·cm × 0.072330139 = 0.072330139 lbf·ft

Common Kilogram-force centimeter to Pound-force foot Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilogram-force centimeter (kgf·cm) and Pound-force foot (lbf·ft).

Tap any row to calculate

Kilogram-force centimeter to Pound-force foot: Primary Direct Table (15 Steps)

Rule: 1 Kilogram-force centimeter is equal to 0.0723301 lbf·ft (Pound-force foot)

Kilogram-force centimeter to Pound-force foot Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 kgf·cm is equal to 7.233014 × 10⁻⁵ lbf·ft (Pound-force foot)	7.233 × 10⁻⁵
0.01 kgf·cm is equal to 0.000723301 lbf·ft (Pound-force foot)	7.233 × 10⁻⁴
0.1 kgf·cm is equal to 0.00723301 lbf·ft (Pound-force foot)	7.233 × 10⁻³
0.5 kgf·cm is equal to 0.0361651 lbf·ft (Pound-force foot)	3.617 × 10⁻²
1 kgf·cm is equal to 0.0723301 lbf·ft (Pound-force foot)	7.233 × 10⁻²
2 kgf·cm is equal to 0.14466 lbf·ft (Pound-force foot)	1.447 × 10⁻¹
5 kgf·cm is equal to 0.361651 lbf·ft (Pound-force foot)	3.617 × 10⁻¹
10 kgf·cm is equal to 0.723301 lbf·ft (Pound-force foot)	7.233 × 10⁻¹
20 kgf·cm is equal to 1.446603 lbf·ft (Pound-force foot)	1.447 × 10⁰
25 kgf·cm is equal to 1.808253 lbf·ft (Pound-force foot)	1.808 × 10⁰
50 kgf·cm is equal to 3.616507 lbf·ft (Pound-force foot)	3.617 × 10⁰
100 kgf·cm is equal to 7.233014 lbf·ft (Pound-force foot)	7.233 × 10⁰
250 kgf·cm is equal to 18.082535 lbf·ft (Pound-force foot)	1.808 × 10¹
500 kgf·cm is equal to 36.165069 lbf·ft (Pound-force foot)	3.617 × 10¹
1000 kgf·cm is equal to 72.330139 lbf·ft (Pound-force foot)	7.233 × 10¹

Pound-force foot to Kilogram-force centimeter: Reciprocal Summary

Rule: 1 Pound-force foot is equal to 13.825495 kgf·cm (Kilogram-force centimeter)

Pound-force foot to Kilogram-force centimeter Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 lbf·ft is equal to 13.825495 kgf·cm (Kilogram-force centimeter)	1.383 × 10¹
5 lbf·ft is equal to 69.127477 kgf·cm (Kilogram-force centimeter)	6.913 × 10¹
10 lbf·ft is equal to 138.254954 kgf·cm (Kilogram-force centimeter)	1.383 × 10²
50 lbf·ft is equal to 691.274772 kgf·cm (Kilogram-force centimeter)	6.913 × 10²
100 lbf·ft is equal to 1382.549544 kgf·cm (Kilogram-force centimeter)	1.383 × 10³

View Complete 15-Row Pound-force foot to Kilogram-force centimeter 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 Kilogram-force centimeter (kgf·cm) and Pound-force foot (lbf·ft):

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

Pound-force foot References:

Hand-held cordless drill maximum torque driving screws 30 lbf·ft
Compact commuter automobile wheel lug nut tightening spec 80 lbf·ft
Full-size American pickup truck V8 engine maximum torque 400 lbf·ft

Tap any benchmark above to automatically calculate its exact equivalent in Pound-force foot.

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

How to Convert Kilogram-force centimeter to Pound-force foot

Converting Kilogram-force centimeter (kgf·cm) to Pound-force foot (lbf·ft) 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 0.0723301 Pound-force foot, while 1 lbf·ft equals 13.825495 kgf·cm.

Direct Factor1 kgf·cm = 0.0723301 lbf·ft

Inverse Ratio1 lbf·ft = 13.825495 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 lbf·ft = 1.355818 newton meter (N·m)

Step-by-step substitution for Kilogram-force centimeter → Pound-force foot:V(lbf·ft) = V(kgf·cm) × ( 0.0980665 / 1.355818 ) = V(kgf·cm) × 0.0723301

Mathematical FormulaValue in Pound-force foot = Value in Kilogram-force centimeter × 0.072330139Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 2.5 Kilogram-force centimeter (kgf·cm) produces 0.180825 Pound-force foot (lbf·ft). In heavy-duty utility and industrial workloads, 5000 kgf·cm equals 361.650693 lbf·ft.

Inverse check: 1 lbf·ft = 13.825495 kgf·cm.

Understanding Kilogram-force centimeter and Pound-force foot

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 Pound-force foot
Robotics hobby RC digital servo motor stall torque rating	`15 kgf·cm`	`1.084952 lbf·ft`
Cordless electric household screwdriver maximum fastening torque	`50 kgf·cm`	`3.616507 lbf·ft`
Automotive power window electric regulator gear torque	`80 kgf·cm`	`5.786411 lbf·ft`

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 0.072330139 pound-force feet (lbf·ft) 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 0.072330139.

The mathematical formula to convert kilogram-force centimeters to pound-force feet is: [value] * 0.072330139 = pound-force feet. 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 pound-force feet back to kilogram-force centimeters, you must divide your starting value by 0.072330139. Our bidirectional tool automatically computes this inverse equation the moment you type into the pound-force foot input field.

1 Pound-force foot is larger than 1 Kilogram-force centimeter. Specifically, 1 Kilogram-force centimeter equals 0.072330139 pound-force feet, meaning 1 Pound-force foot is 13.8255 times larger than 1 Kilogram-force centimeter (a difference of 1.14 orders of magnitude). Expressing measurements in kilogram-force centimeters requires a larger numerical value to represent the equivalent physical magnitude.

A typical robotics hobby RC digital servo motor stall torque rating measures 15 kgf·cm, which corresponds to 1.085 lbf·ft (Pound-force foot).

One Kilogram-force centimeter is equal to 0.0723301 lbf·ft.

The formula to derive Pound-force foot is V(lbf·ft) = V(kgf·cm) × 0.0723301.

To convert back, use the formula V(kgf·cm) = V(lbf·ft) × 13.8255.

Pound-force foot (often simplified to foot-pounds) is the standard Imperial unit for measuring engine torque and bolt-tightening specifications in North American automotive and structural engineering.

Related Kilogram-force centimeter and Pound-force foot 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 inch Kilogram-force centimeter to Ounce-force inch Kilogram-force centimeter to Kilonewton meter

Convert Other Units to Pound-force foot

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

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