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 meter to Pound-force foot (kgf·m to lbf·ft) Converter

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Live Conversion • ISO 80000-4:2019 Certified

1 Kilogram-force meter = 7.23301385 Pound-force foot

1 kgf·m = 7.233014 lbf·ft • 1 lbf·ft = 0.138255 kgf·m

Decimals:

Certified Authority Value

7.23301385

lbf·ft

From / Input

kgf·m

Swap to Pound-force foot to Kilogram-force meter

To / Result

lbf·ft

Quick Values:

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

Conversion Formula

To convert Kilogram-force meter to Pound-force foot, multiply by 7.23301385

kgf·m × 7.23301385 = lbf·ft

Calculation: 1 kgf·m × 7.23301385 = 7.23301385 lbf·ft

Common Kilogram-force meter to Pound-force foot Calculations

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

Tap any row to calculate

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

Rule: 1 Kilogram-force meter is equal to 7.233014 lbf·ft (Pound-force foot)

Kilogram-force meter to Pound-force foot Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 kgf·m is equal to 0.00723301 lbf·ft (Pound-force foot)	7.233 × 10⁻³
0.01 kgf·m is equal to 0.0723301 lbf·ft (Pound-force foot)	7.233 × 10⁻²
0.1 kgf·m is equal to 0.723301 lbf·ft (Pound-force foot)	7.233 × 10⁻¹
0.5 kgf·m is equal to 3.616507 lbf·ft (Pound-force foot)	3.617 × 10⁰
1 kgf·m is equal to 7.233014 lbf·ft (Pound-force foot)	7.233 × 10⁰
2 kgf·m is equal to 14.466028 lbf·ft (Pound-force foot)	1.447 × 10¹
5 kgf·m is equal to 36.165069 lbf·ft (Pound-force foot)	3.617 × 10¹
10 kgf·m is equal to 72.330139 lbf·ft (Pound-force foot)	7.233 × 10¹
20 kgf·m is equal to 144.660277 lbf·ft (Pound-force foot)	1.447 × 10²
25 kgf·m is equal to 180.825346 lbf·ft (Pound-force foot)	1.808 × 10²
50 kgf·m is equal to 361.650693 lbf·ft (Pound-force foot)	3.617 × 10²
100 kgf·m is equal to 723.301385 lbf·ft (Pound-force foot)	7.233 × 10²
250 kgf·m is equal to 1808.253463 lbf·ft (Pound-force foot)	1.808 × 10³
500 kgf·m is equal to 3616.506926 lbf·ft (Pound-force foot)	3.617 × 10³
1000 kgf·m is equal to 7233.013851 lbf·ft (Pound-force foot)	7.233 × 10³

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

Rule: 1 Pound-force foot is equal to 0.138255 kgf·m (Kilogram-force meter)

Pound-force foot to Kilogram-force meter Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 lbf·ft is equal to 0.138255 kgf·m (Kilogram-force meter)	1.383 × 10⁻¹
5 lbf·ft is equal to 0.691275 kgf·m (Kilogram-force meter)	6.913 × 10⁻¹
10 lbf·ft is equal to 1.38255 kgf·m (Kilogram-force meter)	1.383 × 10⁰
50 lbf·ft is equal to 6.912748 kgf·m (Kilogram-force meter)	6.913 × 10⁰
100 lbf·ft is equal to 13.825495 kgf·m (Kilogram-force meter)	1.383 × 10¹

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

Kilogram-force meter References:

Automotive engine metric torque rating test benchmark 10 kgf·m
Industrial construction scaffolding clamp bolt tightening torque 5 kgf·m

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 meter to Pound-force foot

Converting Kilogram-force meter (kgf·m) 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 meter equals 7.233014 Pound-force foot, while 1 lbf·ft equals 0.138255 kgf·m.

Direct Factor1 kgf·m = 7.233014 lbf·ft

Inverse Ratio1 lbf·ft = 0.138255 kgf·m

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·m = 9.80665 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 meter → Pound-force foot:V(lbf·ft) = V(kgf·m) × ( 9.80665 / 1.355818 ) = V(kgf·m) × 7.233014

Mathematical FormulaValue in Pound-force foot = Value in Kilogram-force meter × 7.23301385Direct computational formula applied for standard conversion.

Worked Example

To convert 50 Kilogram-force meter (kgf·m) to Pound-force foot (lbf·ft): multiply 50 by 7.233014 to get 361.650693 lbf·ft. At an industrial engineering scale, 240 kgf·m converts to 1735.923324 lbf·ft.

Inverse check: 1 lbf·ft = 0.138255 kgf·m.

Understanding Kilogram-force meter 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
Automotive engine metric torque rating test benchmark	`10 kgf·m`	`72.330139 lbf·ft`
Industrial construction scaffolding clamp bolt tightening torque	`5 kgf·m`	`36.165069 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·m

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

Coupling: P = τ × ω

Forward Reverse

Live Calculated Bridge Equivalent:

1 kgf·m at 1,800 RPM (4-Pole 60Hz US Industrial Motor) = 1.8486 kW

Equals 2.479 hp • 2.5133 PS / cv • 1848.5535 W

IEC Motor Standard

1.8486

Kilowatts

NEMA & Automotive

2.479

Mechanical Horsepower

DIN Automotive

2.5133

PS / cv

Metric Horsepower

SI Standard

1848.5535

Watts

Grid Turbines

0.00184855

Megawatts

Imperial Power

1363.423

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·m × 9.80665 = 9.80665 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 = (9.80665) × (188.5) = 1848.553525 W
4. Convert to Standard Engineering Units:
• kW: 1848.553525 × 0.001 = 1.8486 kW (Kilowatts) • hp: 1848.553525 × 0.001341 = 2.479 hp (Mechanical Horsepower) • PS / cv: 1848.553525 × 0.00136 = 2.5133 PS / cv (Metric Horsepower) • W: 1848.553525 × 1 = 1848.5535 W (Watts) • MW: 1848.553525 × 1 × 10⁻⁶ = 0.00184855 MW (Megawatts) • ft·lb/s: 1848.553525 × 0.7376 = 1363.423 ft·lb/s (Foot-Pounds per Second)

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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 7.23301385 pound-force feet (lbf·ft) in 1 kilogram-force meter (kgf·m). To calculate larger amounts manually, simply multiply your total number of kilogram-force meters by the conversion multiplier of 7.23301385.

The mathematical formula to convert kilogram-force meters to pound-force feet is: [value] * 7.23301385 = 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 meters, you must divide your starting value by 7.23301385. Our bidirectional tool automatically computes this inverse equation the moment you type into the pound-force foot input field.

1 Kilogram-force meter is larger than 1 Pound-force foot. Specifically, 1 Kilogram-force meter equals exactly 7.23301385 pound-force feet, making it 7.233 times larger (a difference of 0.86 orders of magnitude). Therefore, quantities expressed in pound-force feet require a larger numerical value to represent the same physical amount.

A typical automotive engine metric torque rating test benchmark measures 10 kgf·m, which corresponds to 72.3301 lbf·ft (Pound-force foot).

The equivalent torque measurement is 1 kgf·m = 7.23301 lbf·ft.

Apply the multiplier equation V(lbf·ft) = V(kgf·m) × 7.23301 to calculate the imperial torque.

To transition from imperial back to metric, compute V(kgf·m) = V(lbf·ft) × 0.138255.

This ratio is essential when translating engine torque output standards from European and Asian metric specifications to North American imperial systems.

Related Kilogram-force meter and Pound-force foot Conversions

Convert Kilogram-force meter to Other Units

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