Convert Gram-centimeters squared to Slug-feet squared
Instantly convert Gram-centimeters squared (g·cm²) to Slug-feet squared (slug·ft²) with our free online calculator.
Formula: g·cm² to slug·ft² — multiply by 7.3756e-8
Reference Table
| Gram-centimeters squared (g·cm²) | Slug-feet squared (slug·ft²) |
|---|---|
| 1 | 7.375610e-8 |
| 5 | 3.687805e-7 |
| 10 | 7.375610e-7 |
| 25 | 0.0000018439 |
| 50 | 0.00000368781 |
| 100 | 0.00000737561 |
How to Convert Gram-centimeters squared to Slug-feet squared
Formula
To convert Gram-centimeters squared (g·cm²) to Slug-feet squared (slug·ft²): multiply by 7.3756e-8
Step-by-Step
- Start with your value in Gram-centimeters squared (g·cm²).
- Multiply by 7.3756e-8 to perform the conversion.
- The result is your value expressed in Slug-feet squared (slug·ft²).
Conversion Factor
1 g·cm² = 7.375610e-8 slug·ft²
Reverse Factor
1 slug·ft² = 13558200 g·cm²
Worked Example
Convert 25 Gram-centimeters squared to Slug-feet squared: 25 g·cm² = 0.0000018439 slug·ft²
About Gram-centimeter squared (g·cm²)
A CGS mass-moment-of-inertia unit equal to exactly 10⁻⁷ kg·m² = 0.1 mg·m². Used for very small precision components where SI units would produce many leading zeros: balance-wheel and escapement inertia in mechanical wristwatch movements (a typical Swiss-made automatic balance wheel has rotor inertia ~10⁻² g·cm²; this drives the resonant frequency that sets watch accuracy), instrument-grade gyroscope rotors (mechanical heading reference gyros and rate-integrating gyros in aerospace inertial-navigation systems before the MEMS transition), precision indexing wheels in optical encoders (Heidenhain, Renishaw encoder discs), MEMS resonator inertia in vibratory gyroscopes per IEEE 1431 silicon-resonator characterization, and historical-era optical precision instruments from European manufacturers (Zeiss, Leica, Carl Zeiss Jena pre-1970s) which still appear in vintage equipment overhaul references. Convert g·cm² to kg·m² by dividing by 10⁷; to lb·in² by dividing by 2,926.
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 Gram-centimeter squared equals 7.375610e-8 Slug-feet squared
- 1 Slug-foot squared equals 13558200 Gram-centimeters squared
- Gram-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 Gram-centimeter squared belongs to the metric system
- The Slug-foot squared belongs to the imperial system
Common Gram-centimeter squared to Slug-foot squared Conversions
| Gram-centimeters squared (g·cm²) | Slug-feet squared (slug·ft²) |
|---|---|
| 0.01 | 7.375610e-10 |
| 0.1 | 7.375610e-9 |
| 0.25 | 1.843903e-8 |
| 0.5 | 3.687805e-8 |
| 1 | 7.375610e-8 |
| 2 | 1.475122e-7 |
| 3 | 2.212683e-7 |
| 5 | 3.687805e-7 |
| 10 | 7.375610e-7 |
| 15 | 0.00000110634 |
| 20 | 0.00000147512 |
| 25 | 0.0000018439 |
| 50 | 0.00000368781 |
| 75 | 0.00000553171 |
| 100 | 0.00000737561 |
| 250 | 0.000018439 |
| 500 | 0.0000368781 |
| 1000 | 0.0000737561 |
| 5000 | 0.000368781 |
| 10000 | 0.000737561 |
Understanding Gram-centimeters squared
The Gram-centimeter squared (symbol: g·cm²) is a unit of mass moment of inertia. A CGS mass-moment-of-inertia unit equal to exactly 10⁻⁷ kg·m² = 0.1 mg·m². Used for very small precision components where SI units would produce many leading zeros: balance-wheel and escapement inertia in mechanical wristwatch movements (a typical Swiss-made automatic balance wheel has rotor inertia ~10⁻² g·cm²; this drives the resonant frequency that sets watch accuracy), instrument-grade gyroscope rotors (mechanical heading reference gyros and rate-integrating gyros in aerospace inertial-navigation systems before the MEMS transition), precision indexing wheels in optical encoders (Heidenhain, Renishaw encoder discs), MEMS resonator inertia in vibratory gyroscopes per IEEE 1431 silicon-resonator characterization, and historical-era optical precision instruments from European manufacturers (Zeiss, Leica, Carl Zeiss Jena pre-1970s) which still appear in vintage equipment overhaul references. Convert g·cm² to kg·m² by dividing by 10⁷; to lb·in² by dividing by 2,926.
It belongs to the metric measurement system.
Gram-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 Gram-centimeters squared to Slug-feet squared?
Converting between Gram-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 Gram-centimeters squared to Slug-feet squared?
A CGS mass-moment-of-inertia unit equal to exactly 10⁻⁷ kg·m² = 0. To convert Gram-centimeters squared to Slug-feet squared, multiply by 7.3756e-8. For example, 25 g·cm² equals 0.0000018439 slug·ft².
How many Slug-feet squared are in 1 Gram-centimeter squared?
There are 7.375610e-8 Slug-feet squared in 1 Gram-centimeter squared.
How many Gram-centimeters squared are in 1 Slug-foot squared?
There are 13558200 Gram-centimeters squared in 1 Slug-foot squared.
What is the formula for Gram-centimeter squared to Slug-foot squared conversion?
The formula is: multiply by 7.3756e-8. This means 1 g·cm² = 7.375610e-8 slug·ft².
Is a Gram-centimeter squared bigger than a Slug-foot squared?
Yes. One Gram-centimeter squared is larger than one Slug-foot squared because 1 g·cm² equals 7.375610e-8 slug·ft², which is less than 1.
When do you need to convert between Gram-centimeters squared and Slug-feet squared?
A US aerospace mass-moment-of-inertia unit (1 slug·ft² ≈ 1. Gram-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.