Convert Meters Per Second Squared (m/s²) to Feet Per Second Squared (ft/s²)
1 meter per second squared equals 3.28084 feet per second squared.
Meter Per Second Squared to Foot Per Second Squared Converter
What Is a Meter Per Second Squared?
The meter per second squared (m/s²) is the SI unit of acceleration. It measures the rate of change of velocity. Standard gravity ≈ 9.80665 m/s².
What Is a Foot Per Second Squared?
The foot per second squared (ft/s²) is the imperial acceleration unit. It is used in US engineering and aerospace applications.
Meter Per Second Squared to Foot Per Second Squared Formula
The conversion formula is:
ft/s² = m/s² × 3.28084
Derived from: 1 m = 3.28084 ft.
Worked Example
Convert 9.80665 meter per second squared (standard gravity):
- Calculate: 9.80665 → 32.174 foot per second squared
Common Use Cases
The metric-to-imperial acceleration conversion is needed when:
- Aerospace engineering: International collaborations (e.g., NASA with ESA) require converting between m/s² specifications and ft/s² engineering drawings.
- Structural engineering: US building codes and structural calculations use ft/s² for gravity loads, while international standards use m/s².
- Ballistics and firearms: Bullet deceleration data in the US is typically expressed in ft/s², while scientific literature uses m/s².
- Physics education: Students in the US learn gravity as 32.2 ft/s² but must convert to m/s² for standardized physics formulas and international textbooks.
Frequently Asked Questions
What is gravity in ft/s²?
Standard gravitational acceleration is 32.174 ft/s² (often rounded to 32.2 ft/s²). This equals the metric value of 9.80665 m/s². The exact conversion is: 9.80665 × 3.28084 = 32.174 ft/s².
Why does the US still use ft/s² instead of m/s²?
The US customary system remains standard in American engineering due to existing infrastructure, building codes, and industry practices. While scientific research uses SI units (m/s²), practical engineering in construction, automotive, and defense industries often uses ft/s² for historical compatibility and regulatory compliance.
How do ft/s² and m/s² relate to pounds and newtons?
Through Newton's second law (F = ma): a force of 1 pound-force accelerates 1 slug at 1 ft/s², while 1 newton accelerates 1 kilogram at 1 m/s². The different base units (slug vs kilogram, pound-force vs newton) explain why the two systems use different acceleration units.
How is standard gravity expressed in ft/s²?
Standard gravity (1g) = 9.80665 m/s² = 32.174 ft/s². This is the most important reference value for this conversion.
Common Meter Per Second Squared to Foot Per Second Squared Conversions
| Meter Per Second Squared | Foot Per Second Squared | Actions |
|---|---|---|
| 1 meter per second squared | 3.28084 feet per second squared | |
| 2 meters per second squared | 6.56168 feet per second squared | |
| 5 meters per second squared | 16.4042 feet per second squared | |
| 9.8 meters per second squared | 32.1522 feet per second squared |
| Meter Per Second Squared | Foot Per Second Squared | Actions |
|---|---|---|
| 10 meters per second squared | 32.8084 feet per second squared | |
| 20 meters per second squared | 65.6168 feet per second squared | |
| 50 meters per second squared | 164.042 feet per second squared | |
| 100 meters per second squared | 328.084 feet per second squared |
Meters per second squared to feet per second squared Conversion Table
Reference table with common meters per second squared to feet per second squared conversions. All values calculated with high precision.
Meters Per Second Squared to Feet Per Second Squared Table
0.0001 to 12
Meters Per Second Squared to Feet Per Second Squared Table
1 to 100000
Feet Per Second Squared to Meters Per Second Squared Table
0.001 to 5
Feet Per Second Squared to Meters Per Second Squared Table
10 to 1000000
Looking for the reverse? Convert Foot Per Second Squared to Meter Per Second Squared
Related Acceleration Converters
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- Meters Per Second Squared to Galileos
- Meters Per Second Squared to Inches Per Second Squared
- Meters Per Second Squared to Knots Per Second
- Standard Gravities to Feet Per Second Squared
- Feet Per Second Squared to Inches Per Second Squared
- Galileos to Meters Per Second Squared
- Knots Per Second to Meters Per Second Squared
Related in other categories:
- m/s to km/h — Speed is the integral of acceleration over time
