Convert Slug-feet squared to Kilogram-meters squared
Instantly convert Slug-feet squared (slug·ft²) to Kilogram-meters squared (kg·m²) with our free online calculator.
Formula: slug·ft² to kg·m² — multiply by 1.35582
Reference Table
| Slug-feet squared (slug·ft²) | Kilogram-meters squared (kg·m²) |
|---|---|
| 1 | 1.35582 |
| 5 | 6.7791 |
| 10 | 13.5582 |
| 25 | 33.8955 |
| 50 | 67.791 |
| 100 | 135.582 |
How to Convert Slug-feet squared to Kilogram-meters squared
Formula
To convert Slug-feet squared (slug·ft²) to Kilogram-meters squared (kg·m²): multiply by 1.35582
Step-by-Step
- Start with your value in Slug-feet squared (slug·ft²).
- Multiply by 1.35582 to perform the conversion.
- The result is your value expressed in Kilogram-meters squared (kg·m²).
Conversion Factor
1 slug·ft² = 1.35582 kg·m²
Reverse Factor
1 kg·m² = 0.737561 slug·ft²
Worked Example
Convert 25 Slug-feet squared to Kilogram-meters squared: 25 slug·ft² = 33.8955 kg·m²
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.
About Kilogram-meter squared (kg·m²)
The SI unit of mass moment of inertia (ISO 80000-4 §4-12) — the rotational analog of mass, measuring a rigid body's resistance to angular acceleration about a specified axis (τ = I·α, the rotational form of Newton's second law). kg·m² is the universal working unit in rotational dynamics, flywheel-energy-storage design, gyroscope analysis, spacecraft attitude-control system (ACS) design, automotive driveline modeling (engine + clutch + transmission + driveshafts inertias propagated through gear ratios), and CAD/CAE mass-properties output (Autodesk Inventor, SolidWorks, CATIA, NX all compute Ixx/Iyy/Izz and the off-diagonal cross-products in kg·m²). Reference values: a typical 1-meter-radius solid steel cylinder of 100 kg ≈ 50 kg·m²; a figure skater's body mass moment of inertia changes from ~8 kg·m² (arms extended) to ~2 kg·m² (arms tucked tight) demonstrating angular-momentum conservation as spin rate increases ~4× when tucked; the International Space Station has ~10⁸ kg·m² principal-axis inertia. Convert kg·m² to lb·ft² by multiplying by 23.730; to slug·ft² by multiplying by 0.7376.
Quick Facts
- 1 Slug-foot squared equals 1.35582 Kilogram-meters squared
- 1 Kilogram-meter squared equals 0.737561 Slug-feet squared
- Slug-foot squared is a unit of mass moment of inertia
- Kilogram-meter squared is a unit of mass moment of inertia
- This conversion is commonly used in rotational dynamics, flywheel design, and robotics
- The Slug-foot squared belongs to the imperial system
- The Kilogram-meter squared belongs to the metric system
Common Slug-foot squared to Kilogram-meter squared Conversions
| Slug-feet squared (slug·ft²) | Kilogram-meters squared (kg·m²) |
|---|---|
| 0.01 | 0.0135582 |
| 0.1 | 0.135582 |
| 0.25 | 0.338955 |
| 0.5 | 0.67791 |
| 1 | 1.35582 |
| 2 | 2.71164 |
| 3 | 4.06746 |
| 5 | 6.7791 |
| 10 | 13.5582 |
| 15 | 20.3373 |
| 20 | 27.1164 |
| 25 | 33.8955 |
| 50 | 67.791 |
| 75 | 101.686 |
| 100 | 135.582 |
| 250 | 338.955 |
| 500 | 677.91 |
| 1000 | 1355.82 |
| 5000 | 6779.1 |
| 10000 | 13558.2 |
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.
Understanding Kilogram-meters squared
The Kilogram-meter squared (symbol: kg·m²) is a unit of mass moment of inertia. The SI unit of mass moment of inertia (ISO 80000-4 §4-12) — the rotational analog of mass, measuring a rigid body's resistance to angular acceleration about a specified axis (τ = I·α, the rotational form of Newton's second law). kg·m² is the universal working unit in rotational dynamics, flywheel-energy-storage design, gyroscope analysis, spacecraft attitude-control system (ACS) design, automotive driveline modeling (engine + clutch + transmission + driveshafts inertias propagated through gear ratios), and CAD/CAE mass-properties output (Autodesk Inventor, SolidWorks, CATIA, NX all compute Ixx/Iyy/Izz and the off-diagonal cross-products in kg·m²). Reference values: a typical 1-meter-radius solid steel cylinder of 100 kg ≈ 50 kg·m²; a figure skater's body mass moment of inertia changes from ~8 kg·m² (arms extended) to ~2 kg·m² (arms tucked tight) demonstrating angular-momentum conservation as spin rate increases ~4× when tucked; the International Space Station has ~10⁸ kg·m² principal-axis inertia. Convert kg·m² to lb·ft² by multiplying by 23.730; to slug·ft² by multiplying by 0.7376.
It belongs to the metric measurement system.
Kilogram-meters squared are commonly used in rotational dynamics, flywheel design, and robotics.
Why Convert Slug-feet squared to Kilogram-meters squared?
Converting between Slug-feet squared and Kilogram-meters 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 Slug-feet squared to Kilogram-meters squared?
A US aerospace mass-moment-of-inertia unit (1 slug·ft² ≈ 1. To convert Slug-feet squared to Kilogram-meters squared, multiply by 1.35582. For example, 25 slug·ft² equals 33.8955 kg·m².
How many Kilogram-meters squared are in 1 Slug-foot squared?
There are 1.35582 Kilogram-meters squared in 1 Slug-foot squared.
How many Slug-feet squared are in 1 Kilogram-meter squared?
There are 0.737561 Slug-feet squared in 1 Kilogram-meter squared.
What is the formula for Slug-foot squared to Kilogram-meter squared conversion?
The formula is: multiply by 1.35582. This means 1 slug·ft² = 1.35582 kg·m².
Is a Slug-foot squared bigger than a Kilogram-meter squared?
No. One Slug-foot squared is smaller than one Kilogram-meter squared because 1 slug·ft² equals 1.35582 kg·m², which is greater than 1.
When do you need to convert between Slug-feet squared and Kilogram-meters squared?
The SI unit of mass moment of inertia (ISO 80000-4 §4-12) — the rotational analog of mass, measuring a rigid body's resistance to angular acceleration about a specified axis (τ = I·α, the rotational form of Newton's seco... Slug-foot squared and Kilogram-meter 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.