Convert Kilogram-centimeters squared to Slug-feet squared
Instantly convert Kilogram-centimeters squared (kg·cm²) to Slug-feet squared (slug·ft²) with our free online calculator.
Formula: kg·cm² to slug·ft² — multiply by 7.3756e-5
Reference Table
| Kilogram-centimeters squared (kg·cm²) | Slug-feet squared (slug·ft²) |
|---|---|
| 1 | 0.0000737561 |
| 5 | 0.000368781 |
| 10 | 0.000737561 |
| 25 | 0.0018439 |
| 50 | 0.00368781 |
| 100 | 0.00737561 |
How to Convert Kilogram-centimeters squared to Slug-feet squared
Formula
To convert Kilogram-centimeters squared (kg·cm²) to Slug-feet squared (slug·ft²): multiply by 7.3756e-5
Step-by-Step
- Start with your value in Kilogram-centimeters squared (kg·cm²).
- Multiply by 7.3756e-5 to perform the conversion.
- The result is your value expressed in Slug-feet squared (slug·ft²).
Conversion Factor
1 kg·cm² = 0.0000737561 slug·ft²
Reverse Factor
1 slug·ft² = 13558.2 kg·cm²
Worked Example
Convert 25 Kilogram-centimeters squared to Slug-feet squared: 25 kg·cm² = 0.0018439 slug·ft²
About Kilogram-centimeter squared (kg·cm²)
A mass-moment-of-inertia unit equal to exactly 10⁻⁴ kg·m². Used in industry for small rotating components where typical values would fall in awkwardly-small kg·m² values: electric motor rotors (NEMA / IEC motor nameplates from Japanese and Korean manufacturers commonly list rotor inertia in kg·cm² — a typical 1 kW industrial motor rotor 100-500 kg·cm² = 0.01-0.05 kg·m²), servo and stepper-motor shafts (Yaskawa, Mitsubishi, Panasonic servo datasheets — typical 750 W AC servo ~5-15 kg·cm²), small flywheels for energy-harvest applications, gyroscope and MEMS devices, and precision indexing-wheel mechanisms in machine tools. The kg·cm² is also the dominant inertia unit in Korean and Chinese-built machinery technical documentation for export markets. Convert kg·cm² to kg·m² by dividing by 10,000; to lb·in² by dividing by 0.2926; to g·cm² by multiplying by 1,000.
About Slug-foot squared (slug·ft²)
A US aerospace mass-moment-of-inertia unit (1 slug·ft² ≈ 1.35582 kg·m² per NIST SP 811). Because US aerospace engineers keep Newton's second law F = m·a (and its rotational analog τ = I·α) dimensionally consistent in imperial units without inserting a gravitational-constant factor gc by using slugs as the mass unit, aircraft and missile inertia properties are reported in slug·ft² in flight-dynamics textbooks (Etkin & Reid, Stevens-Lewis-Johnson, Roskam), stability derivative tables, simulation data decks (FlightGear, X-Plane, MATLAB Aerospace Toolbox), and FAR Part 25 transport-category aircraft type-certificate data sheets. Reference values: Boeing 737 roll inertia Ixx ≈ 1.8 × 10⁶ slug·ft²; pitch inertia Iyy ≈ 1.3 × 10⁷ slug·ft²; yaw inertia Izz ≈ 1.5 × 10⁷ slug·ft². Cessna 172 Ixx ≈ 1,285 slug·ft². Convert slug·ft² to kg·m² by multiplying by 1.3558.
Quick Facts
- 1 Kilogram-centimeter squared equals 0.0000737561 Slug-feet squared
- 1 Slug-foot squared equals 13558.2 Kilogram-centimeters squared
- Kilogram-centimeter squared is a unit of mass moment of inertia
- Slug-foot squared is a unit of mass moment of inertia
- This conversion is commonly used in rotational dynamics, flywheel design, and robotics
- The Kilogram-centimeter squared belongs to the metric system
- The Slug-foot squared belongs to the imperial system
Common Kilogram-centimeter squared to Slug-foot squared Conversions
| Kilogram-centimeters squared (kg·cm²) | Slug-feet squared (slug·ft²) |
|---|---|
| 0.01 | 7.375610e-7 |
| 0.1 | 0.00000737561 |
| 0.25 | 0.000018439 |
| 0.5 | 0.0000368781 |
| 1 | 0.0000737561 |
| 2 | 0.000147512 |
| 3 | 0.000221268 |
| 5 | 0.000368781 |
| 10 | 0.000737561 |
| 15 | 0.00110634 |
| 20 | 0.00147512 |
| 25 | 0.0018439 |
| 50 | 0.00368781 |
| 75 | 0.00553171 |
| 100 | 0.00737561 |
| 250 | 0.018439 |
| 500 | 0.0368781 |
| 1000 | 0.0737561 |
| 5000 | 0.368781 |
| 10000 | 0.737561 |
Understanding Kilogram-centimeters squared
The Kilogram-centimeter squared (symbol: kg·cm²) is a unit of mass moment of inertia. A mass-moment-of-inertia unit equal to exactly 10⁻⁴ kg·m². Used in industry for small rotating components where typical values would fall in awkwardly-small kg·m² values: electric motor rotors (NEMA / IEC motor nameplates from Japanese and Korean manufacturers commonly list rotor inertia in kg·cm² — a typical 1 kW industrial motor rotor 100-500 kg·cm² = 0.01-0.05 kg·m²), servo and stepper-motor shafts (Yaskawa, Mitsubishi, Panasonic servo datasheets — typical 750 W AC servo ~5-15 kg·cm²), small flywheels for energy-harvest applications, gyroscope and MEMS devices, and precision indexing-wheel mechanisms in machine tools. The kg·cm² is also the dominant inertia unit in Korean and Chinese-built machinery technical documentation for export markets. Convert kg·cm² to kg·m² by dividing by 10,000; to lb·in² by dividing by 0.2926; to g·cm² by multiplying by 1,000.
It belongs to the metric measurement system.
Kilogram-centimeters squared are commonly used in rotational dynamics, flywheel design, and robotics.
Understanding Slug-feet squared
The Slug-foot squared (symbol: slug·ft²) is a unit of mass moment of inertia. A US aerospace mass-moment-of-inertia unit (1 slug·ft² ≈ 1.35582 kg·m² per NIST SP 811). Because US aerospace engineers keep Newton's second law F = m·a (and its rotational analog τ = I·α) dimensionally consistent in imperial units without inserting a gravitational-constant factor gc by using slugs as the mass unit, aircraft and missile inertia properties are reported in slug·ft² in flight-dynamics textbooks (Etkin & Reid, Stevens-Lewis-Johnson, Roskam), stability derivative tables, simulation data decks (FlightGear, X-Plane, MATLAB Aerospace Toolbox), and FAR Part 25 transport-category aircraft type-certificate data sheets. Reference values: Boeing 737 roll inertia Ixx ≈ 1.8 × 10⁶ slug·ft²; pitch inertia Iyy ≈ 1.3 × 10⁷ slug·ft²; yaw inertia Izz ≈ 1.5 × 10⁷ slug·ft². Cessna 172 Ixx ≈ 1,285 slug·ft². Convert slug·ft² to kg·m² by multiplying by 1.3558.
It belongs to the imperial measurement system.
Slug-feet squared are commonly used in rotational dynamics, flywheel design, and robotics.
Why Convert Kilogram-centimeters squared to Slug-feet squared?
Converting between Kilogram-centimeters squared and Slug-feet squared is a frequent requirement for engineers, scientists, and students working with mass moment of inertia values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate mass moment of inertia conversion is essential.
Frequently Asked Questions
How do I convert Kilogram-centimeters squared to Slug-feet squared?
A mass-moment-of-inertia unit equal to exactly 10⁻⁴ kg·m². To convert Kilogram-centimeters squared to Slug-feet squared, multiply by 7.3756e-5. For example, 25 kg·cm² equals 0.0018439 slug·ft².
How many Slug-feet squared are in 1 Kilogram-centimeter squared?
There are 0.0000737561 Slug-feet squared in 1 Kilogram-centimeter squared.
How many Kilogram-centimeters squared are in 1 Slug-foot squared?
There are 13558.2 Kilogram-centimeters squared in 1 Slug-foot squared.
What is the formula for Kilogram-centimeter squared to Slug-foot squared conversion?
The formula is: multiply by 7.3756e-5. This means 1 kg·cm² = 0.0000737561 slug·ft².
Is a Kilogram-centimeter squared bigger than a Slug-foot squared?
Yes. One Kilogram-centimeter squared is larger than one Slug-foot squared because 1 kg·cm² equals 0.0000737561 slug·ft², which is less than 1.
When do you need to convert between Kilogram-centimeters squared and Slug-feet squared?
A US aerospace mass-moment-of-inertia unit (1 slug·ft² ≈ 1. Kilogram-centimeter squared and Slug-foot squared are both mass moment units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.