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 Gram-force meter (kgf·cm to gf·m) Calculator

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Live Conversion • ISO 80000-4:2019 Certified

1 Kilogram-force centimeter = 10 Gram-force meter

1 kgf·cm = 10 gf·m • 1 gf·m = 0.1 kgf·cm

Decimals:

Certified Authority Value

10.00000000

gf·m

From / Input

kgf·cm

Swap to Gram-force meter to Kilogram-force centimeter

To / Result

gf·m

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 Gram-force meter, multiply by 10

kgf·cm × 10 = gf·m

Calculation: 1 kgf·cm × 10 = 10 gf·m

Common Kilogram-force centimeter to Gram-force meter Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilogram-force centimeter (kgf·cm) and Gram-force meter (gf·m).

Tap any row to calculate

Kilogram-force centimeter to Gram-force meter: Primary Direct Table (15 Steps)

Rule: 1 Kilogram-force centimeter is equal to 10 gf·m (Gram-force meter)

Kilogram-force centimeter to Gram-force meter Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 kgf·cm is equal to 0.01 gf·m (Gram-force meter)	1 × 10⁻²
0.01 kgf·cm is equal to 0.1 gf·m (Gram-force meter)	1 × 10⁻¹
0.1 kgf·cm is equal to 1 gf·m (Gram-force meter)	1 × 10⁰
0.5 kgf·cm is equal to 5 gf·m (Gram-force meter)	5 × 10⁰
1 kgf·cm is equal to 10 gf·m (Gram-force meter)	1 × 10¹
2 kgf·cm is equal to 20 gf·m (Gram-force meter)	2 × 10¹
5 kgf·cm is equal to 50 gf·m (Gram-force meter)	5 × 10¹
10 kgf·cm is equal to 100 gf·m (Gram-force meter)	1 × 10²
20 kgf·cm is equal to 200 gf·m (Gram-force meter)	2 × 10²
25 kgf·cm is equal to 250 gf·m (Gram-force meter)	2.5 × 10²
50 kgf·cm is equal to 500 gf·m (Gram-force meter)	5 × 10²
100 kgf·cm is equal to 1000 gf·m (Gram-force meter)	1 × 10³
250 kgf·cm is equal to 2500 gf·m (Gram-force meter)	2.5 × 10³
500 kgf·cm is equal to 5000 gf·m (Gram-force meter)	5 × 10³
1000 kgf·cm is equal to 10000 gf·m (Gram-force meter)	1 × 10⁴

Gram-force meter to Kilogram-force centimeter: Reciprocal Summary

Rule: 1 Gram-force meter is equal to 0.1 kgf·cm (Kilogram-force centimeter)

Gram-force meter to Kilogram-force centimeter Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 gf·m is equal to 0.1 kgf·cm (Kilogram-force centimeter)	1 × 10⁻¹
5 gf·m is equal to 0.5 kgf·cm (Kilogram-force centimeter)	5 × 10⁻¹
10 gf·m is equal to 1 kgf·cm (Kilogram-force centimeter)	1 × 10⁰
50 gf·m is equal to 5 kgf·cm (Kilogram-force centimeter)	5 × 10⁰
100 gf·m is equal to 10 kgf·cm (Kilogram-force centimeter)	1 × 10¹

View Complete 15-Row Gram-force meter 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 Gram-force meter (gf·m):

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

Gram-force meter References:

Sensitive torsional balance laboratory physics experiment 10 gf·m

Tap any benchmark above to automatically calculate its exact equivalent in Gram-force meter.

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

How to Convert Kilogram-force centimeter to Gram-force meter

Converting Kilogram-force centimeter (kgf·cm) to Gram-force meter (gf·m) 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. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([M L² T⁻²]), separated strictly by a decimal order-of-magnitude factor (10^1). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Kilogram-force centimeter equals 10 Gram-force meter.

Direct Factor1 kgf·cm = 10 gf·m

Inverse Ratio1 gf·m = 0.1 kgf·cm

Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)

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 gf·m = 0.00980665 newton meter (N·m)

Step-by-step substitution for Kilogram-force centimeter → Gram-force meter:V(gf·m) = V(kgf·cm) × ( 0.0980665 / 0.00980665 ) = V(kgf·cm) × 10

Mathematical FormulaValue in Gram-force meter = Value in Kilogram-force centimeter × 10Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 2.5 Kilogram-force centimeter (kgf·cm) produces 25 Gram-force meter (gf·m). In heavy-duty utility and industrial workloads, 1000 kgf·cm equals 10000 gf·m.

Inverse check: 1 gf·m = 0.1 kgf·cm.

Understanding Kilogram-force centimeter and Gram-force meter

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 Gram-force meter
Robotics hobby RC digital servo motor stall torque rating	`15 kgf·cm`	`150 gf·m`
Cordless electric household screwdriver maximum fastening torque	`50 kgf·cm`	`500 gf·m`
Automotive power window electric regulator gear torque	`80 kgf·cm`	`800 gf·m`

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 10 gram-force meters (gf·m) 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 10.

The mathematical formula to convert kilogram-force centimeters to gram-force meters is: [value] * 10 = gram-force meters. 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 gram-force meters back to kilogram-force centimeters, you must divide your starting value by 10. Our bidirectional tool automatically computes this inverse equation the moment you type into the gram-force meter input field.

1 Kilogram-force centimeter is larger than 1 Gram-force meter. Specifically, 1 Kilogram-force centimeter equals exactly 10 gram-force meters, making it 10 times larger (a difference of 1.00 orders of magnitude). Therefore, quantities expressed in gram-force meters 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 150 gf·m (Gram-force meter).

There are exactly 10 gf·m in 1 kgf·cm.

The conversion formula is V(gf·m) = V(kgf·cm) × 10.

Use the inverse operation: V(kgf·cm) = V(gf·m) × 0.1.

It is utilized when recalibrating mechanical test equipment, transitioning a metric torque measurement defined by kilogram-force over a centimeter radius to a gram-force applied over a one-meter lever arm.

Related Kilogram-force centimeter and Gram-force meter 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 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 Ounce-force inch Kilogram-force centimeter to Kilonewton meter

Convert Other Units to Gram-force meter

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

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