Slug/cubic foot to Kilogram/cubic meter Converter
Enter the value that you want to convert slug/cubic foot (slug/ft³) to kilogram/cubic meter (kg/m³) or kilogram/cubic meter to slug/cubic foot.Also written as SLUG/FT³ to KG/M³ conversion.
1 slug/cubic foot = 515.3790000 kilogram/cubic meter
Formula: kilogram/cubic meter = slug/cubic foot value × 515.3790000
SLUG/FT³ to KG/M³ — slug/cubic foot to kilogram/cubic meter
10 slug/cubic foot = 5153.79000 kilogram/cubic meter
Popular Density Converters:
Slug/cubic foot to Kilogram/cubic meter: The Essentials
About the Slug/cubic foot
Slug/cubic foot (slug/ft³) is a unit of density measurement. 1 slug/cubic foot is equal to 515.3790000 kilogram/cubic meter.
The Kilogram/cubic meter in Engineering
Kilogram/cubic meter (kg/m³) is a unit of density measurement. 1 kilogram/cubic meter is equal to 0.0019403 slug/cubic foot.
Density Conversions in Materials Science
Density units vary by industry: chemists use g/mL or g/cm³, engineers use kg/m³, and American petroleum standards use lb/ft³ or lb/gal. Quality control in manufacturing, buoyancy calculations in naval architecture, concrete mix design, and oil/gas well logging all require converting between density units. Different countries and standards bodies specify materials in different density units.
slug/cubic foot to kilogram/cubic meter metric conversion table
| 0.01 slug/ft³ | = | 5.15379 kg/m³ |
| 0.1 slug/ft³ | = | 51.53790 kg/m³ |
| 1 slug/ft³ | = | 515.37900 kg/m³ |
| 2 slug/ft³ | = | 1030.75800 kg/m³ |
| 3 slug/ft³ | = | 1546.13700 kg/m³ |
| 4 slug/ft³ | = | 2061.51600 kg/m³ |
| 5 slug/ft³ | = | 2576.89500 kg/m³ |
| 6 slug/ft³ | = | 3092.27400 kg/m³ |
| 7 slug/ft³ | = | 3607.65300 kg/m³ |
| 8 slug/ft³ | = | 4123.03200 kg/m³ |
| 9 slug/ft³ | = | 4638.41100 kg/m³ |
| 10 slug/ft³ | = | 5153.79000 kg/m³ |
| 11 slug/ft³ | = | 5669.16900 kg/m³ |
| 12 slug/ft³ | = | 6184.54800 kg/m³ |
| 13 slug/ft³ | = | 6699.92700 kg/m³ |
| 14 slug/ft³ | = | 7215.30600 kg/m³ |
| 15 slug/ft³ | = | 7730.68500 kg/m³ |
| 16 slug/ft³ | = | 8246.06400 kg/m³ |
| 17 slug/ft³ | = | 8761.44300 kg/m³ |
| 18 slug/ft³ | = | 9276.82200 kg/m³ |
| 19 slug/ft³ | = | 9792.20100 kg/m³ |
| 20 slug/ft³ | = | 10307.58000 kg/m³ |
| 30 slug/ft³ | = | 15461.37000 kg/m³ |
| 40 slug/ft³ | = | 20615.16000 kg/m³ |
| 50 slug/ft³ | = | 25768.95000 kg/m³ |
| 60 slug/ft³ | = | 30922.74000 kg/m³ |
| 70 slug/ft³ | = | 36076.53000 kg/m³ |
| 80 slug/ft³ | = | 41230.32000 kg/m³ |
| 90 slug/ft³ | = | 46384.11000 kg/m³ |
| 100 slug/ft³ | = | 51537.90000 kg/m³ |
| 200 slug/ft³ | = | 103075.80000 kg/m³ |
| 300 slug/ft³ | = | 154613.70000 kg/m³ |
| 400 slug/ft³ | = | 206151.60000 kg/m³ |
| 500 slug/ft³ | = | 257689.50000 kg/m³ |
| 600 slug/ft³ | = | 309227.40000 kg/m³ |
| 700 slug/ft³ | = | 360765.30000 kg/m³ |
| 800 slug/ft³ | = | 412303.20000 kg/m³ |
| 900 slug/ft³ | = | 463841.10000 kg/m³ |
| 1000 slug/ft³ | = | 515379.00000 kg/m³ |
How to Convert SLUG/FT³ to KG/M³ (Slug/cubic foot to Kilogram/cubic meter)?
We can convert slug/cubic foot to kilogram/cubic meter by using an example.
Example:
Convert 20 Slug/cubic foot to Kilogram/cubic meter?
We know 1 Slug/cubic foot = 515.3790000 kilogram/cubic meter; 1 Kilogram/cubic meter = 0.0019403 slug/cubic foot.
20 slug/cubic foot = ___kg/m³
20 × 515.3790000 = 10307.58000 kg/m³ (we know 1 slug/cubic foot = 515.3790000 kilogram/cubic meter)
Answer:
20 slug/cubic foot = 10307.58000 kilogram/cubic meter
Converting slug/ft³ to kg/m³: Fluid Dynamics and Aerospace Engineering
The slug is the unit of mass in the imperial force system where 1 slug = 1 lbf·s²/ft (approximately 14.594 kg). Density in slugs per cubic foot appears in aerodynamics textbooks, wind tunnel data, and aerospace engineering calculations where force = mass × acceleration uses lbf directly. The conversion is 1 slug/ft³ = 515.379 kg/m³.
- Start with the density in slug/ft³.
- Multiply by 515.379 to convert to kg/m³.
- This factor combines: 1 slug = 14.594 kg and 1 ft³ = 0.02832 m³.
- Verify: air at sea level = 0.00238 slug/ft³ × 515.379 = 1.226 kg/m³ ✓.
Aerospace Fluid Densities: slug/ft³ to kg/m³
Standard atmospheric and fluid values used in aerospace and fluid dynamics:
| Slug/cubic foot | Kilogram/cubic meter |
|---|---|
| 0.002377 slug/ft³ | 1.225 kg/m³ |
| 0.001756 slug/ft³ | 0.905 kg/m³ |
| 0.001066 slug/ft³ | 0.549 kg/m³ |
| 0.000585 slug/ft³ | 0.302 kg/m³ |
| 1.940 slug/ft³ | 1,000 kg/m³ |
| 1.990 slug/ft³ | 1,025 kg/m³ |
| 1.530 slug/ft³ | 789 kg/m³ |
| 26.27 slug/ft³ | 13,534 kg/m³ |
Worked Examples: slug/ft³ to kg/m³
Question 1: At 30,000 ft altitude, air density is 0.000889 slug/ft³. Convert to kg/m³ for a CFD simulation.
Solution:
Density in kg/m³ = slug/ft³ × 515.379
= 0.000889 × 515.379
= 0.458 kg/m³
Answer: 0.000889 slug/ft³ = 0.458 kg/m³ — about 37% of sea-level density, explaining why aircraft must fly faster at altitude to maintain lift.
Question 2: Wind tunnel test data reports air density at 0.00226 slug/ft³. What is this in kg/m³?
Solution:
Density in kg/m³ = slug/ft³ × 515.379
= 0.00226 × 515.379
= 1.165 kg/m³
Answer: 0.00226 slug/ft³ = 1.165 kg/m³ — slightly below standard sea-level density, indicating a warm day or modest altitude.
Question 3: Hydraulic fluid in an aircraft system has a density of 1.655 slug/ft³. Express in kg/m³.
Solution:
Density in kg/m³ = slug/ft³ × 515.379
= 1.655 × 515.379
= 853 kg/m³
Answer: 1.655 slug/ft³ = 853 kg/m³ for MIL-PRF-5606 hydraulic fluid.
Practice: slug/ft³ to kg/m³
Try solving these on your own to test your understanding:
- Convert 0.00205 slug/ft³ (5,000 ft altitude) to kg/m³. (Answer: 1.057 kg/m³)
- Express 1.940 slug/ft³ (water) in kg/m³. (Answer: 1,000 kg/m³)
- Jet fuel at 1.56 slug/ft³ to kg/m³. (Answer: 804 kg/m³)
- Helium at 0.000338 slug/ft³ in kg/m³. (Answer: 0.174 kg/m³)
- Engine oil at 1.72 slug/ft³ — convert. (Answer: 886 kg/m³)
Why Aerospace Uses Slugs
The slug exists to make Newton’s second law (F = ma) work directly in the imperial system without a gravitational constant: when mass is in slugs, acceleration in ft/s², the resulting force is in lbf. Aerospace engineers calculating lift, drag, and thrust find slug/ft³ convenient because dynamic pressure q = ½ρV² yields lbf/ft² directly. Converting to kg/m³ is necessary when these calculations move to SI-based software.
Standard Atmosphere Models
The US Standard Atmosphere (1976) and ICAO International Standard Atmosphere define air density at each altitude in slug/ft³ for US aviation and in kg/m³ for international use. At the tropopause (36,089 ft / 11,000 m), density is 0.000706 slug/ft³ = 0.3639 kg/m³. Pilots, aerodynamicists, and flight control engineers must fluently convert between these systems for performance calculations.
Key Takeaways
- 1 slug/ft³ = 515.379 kg/m³.
- The slug is the mass unit where F(lbf) = m(slug) × a(ft/s²).
- Air at sea level: 0.002377 slug/ft³ = 1.225 kg/m³.
- Essential for converting aerodynamics data to SI-based CFD software.
- Water = 1.94 slug/ft³ in the imperial absolute system.
Slug/cubic foot to Kilogram/cubic meter Conversion Formula
kilogram/cubic meter = slug/cubic foot × 515.3790000
1 slug/cubic foot = 515.3790000 kilogram/cubic meter
1 kilogram/cubic meter = 0.0019403 slug/cubic foot
Reverse: slug/cubic foot = kilogram/cubic meter × 0.0019403
Frequently Asked Questions
How many kilogram/cubic meter are in 1 slug/cubic foot?
There are 515.3790000 kilogram/cubic meter in 1 slug/cubic foot. To convert slug/cubic foot to kilogram/cubic meter, multiply the value by 515.3790000.
How do I convert slug/cubic foot to kilogram/cubic meter?
Multiply your slug/cubic foot value by 515.3790000 to get the equivalent in kilogram/cubic meter. For example, 5 slug/cubic foot = 5 × 515.3790000 = 2576.89500 kilogram/cubic meter.
How do I convert kilogram/cubic meter to slug/cubic foot?
Multiply your kilogram/cubic meter value by 0.0019403 to get the equivalent in slug/cubic foot. Alternatively, divide by 515.3790000.
What is 10 slug/cubic foot in kilogram/cubic meter?
10 slug/cubic foot is equal to 5153.79000 kilogram/cubic meter.
What is 100 slug/cubic foot in kilogram/cubic meter?
100 slug/cubic foot is equal to 51537.90000 kilogram/cubic meter.