Convert Feet Per Second Squared (ft/s²) to Standard Gravities (g)
1 foot per second squared equals 0.031081 standard gravities.
Foot Per Second Squared to Standard Gravity Converter
How to Convert Foot Per Second Squared to Standard Gravity
1 foot per second squared = 0.031081 standard gravities
Standard Gravity = Foot Per Second Squared × 0.031081
Example: 1 ft/s² × 0.031081 = 0.031081 g
Reverse Conversion
To convert standard gravities back to feet per second squared:
- Remember, 1 standard gravity equals 32.174 feet per second squared.
- To convert 0.031081 g to ft/s², multiply
0.031081 x 32.174, resulting in1 ft/s².
Common Foot Per Second Squared to Standard Gravity Conversions
| Foot Per Second Squared | Standard Gravity | Actions |
|---|---|---|
| 1 foot per second squared | 0.031081 standard gravities | |
| 10 feet per second squared | 0.31081 standard gravities | |
| 32.17 feet per second squared | 0.999874 standard gravity |
| Foot Per Second Squared | Standard Gravity | Actions |
|---|---|---|
| 50 feet per second squared | 1.55405 standard gravities | |
| 100 feet per second squared | 3.1081 standard gravities | |
| 200 feet per second squared | 6.21619 standard gravities |
Feet per second squared to standard gravities Conversion Table
Reference table with common feet per second squared to standard gravities conversions. All values calculated with high precision.
Feet Per Second Squared to Standard Gravities Table
0.01 to 50
Feet Per Second Squared to Standard Gravities Table
100 to 10000000
Standard Gravities to Feet Per Second Squared Table
0.0001 to 12
Standard Gravities to Feet Per Second Squared Table
1 to 100000
Definition of Foot Per Second Squared
Foot per Second Squared: Imperial Acceleration Unit
The foot per second squared (ft/s²) is a unit of acceleration in the imperial and US customary systems. It represents the rate of change in velocity measured in feet per second for each second elapsed. This unit is commonly used in US engineering, aerospace, and automotive industries.
Conversions to Other Units of Measurement:
- Meter per Second Squared (m/s²): 1 ft/s² equals exactly 0.3048 m/s². This conversion follows from the international yard and pound agreement of 1959, where 1 foot = 0.3048 meters exactly.
- Standard Gravity (g): 1 ft/s² is approximately 0.03108 g. Earth's gravitational acceleration equals about 32.174 ft/s².
- Galileo (Gal): 1 ft/s² equals 30.48 Gal. This is useful when converting between imperial acceleration and CGS geodetic measurements.
- Inch per Second Squared (in/s²): 1 ft/s² equals exactly 12 in/s². This conversion is used in precision engineering applications.
- Mile per Hour per Second (mph/s): 1 ft/s² is approximately 0.6818 mph/s. This is relevant for vehicle acceleration specifications in the US.
The foot per second squared remains widely used in the United States for describing vehicle acceleration, ballistics, and aerospace applications.
- Definition
- Imperial/US unit of acceleration; change in velocity of 1 foot per second in 1 second.
- Exact factor
- 1 ft/s² = 0.3048 m/s² (exact)
- Common equivalents
- 1 ft/s² = 12 in/s² (exact)
- 1 ft/s² = 30.48 Gal (exact)
- 1 ft/s² ≈ 0.03108 g
- Sources
Definition of Standard Gravity
Standard Gravity: Earth's Reference Acceleration
Standard gravity (symbol: g or gₙ) is the nominal gravitational acceleration of an object at Earth's surface at sea level. It is defined as exactly 9.80665 m/s². This value was established by the 3rd General Conference on Weights and Measures (CGPM) in 1901 and serves as a reference for comparing accelerations.
Conversions to Other Units of Measurement:
- Meter per Second Squared (m/s²): 1 g equals exactly 9.80665 m/s². This is the internationally agreed standard value used in science and engineering.
- Foot per Second Squared (ft/s²): 1 g is approximately 32.174 ft/s². This value is commonly used in US aerospace and engineering applications.
- Galileo (Gal): 1 g equals 980.665 Gal. Since 1 Gal = 1 cm/s², this conversion is straightforward and used in geophysical measurements.
- Kilometer per Hour per Second (km/h/s): 1 g equals approximately 35.30 km/h/s. A sports car accelerating at 1 g would gain about 35 km/h every second.
- Mile per Hour per Second (mph/s): 1 g is approximately 21.94 mph/s. Fighter pilots can experience accelerations of 9 g or more during combat maneuvers.
Standard gravity is essential in defining units like the kilogram-force and in expressing accelerations experienced by humans in vehicles, aircraft, and spacecraft.
- Definition
- Nominal gravitational acceleration at Earth's surface, defined as exactly 9.80665 m/s².
- Exact factor
- 1 g = 9.80665 m/s² (exact, by definition)
- Common equivalents
- 1 g = 980.665 Gal (exact)
- 1 g ≈ 32.17405 ft/s²
- 1 g ≈ 35.30394 km/h/s
- Sources
About the Foot Per Second Squared
In the early days of rocketry and aviation in the United States, engineers used ft/s² as their primary acceleration unit. The acceleration due to gravity (32.174 ft/s²) became a fundamental constant in these calculations.
Ballistics and firearms engineering still commonly use ft/s² for bullet deceleration calculations, alongside muzzle velocities expressed in feet per second.
About the Standard Gravity
Standard gravity affects everything on Earth. When you jump, you accelerate downward at 1 g. Roller coasters can subject riders to 3-4 g during loops and drops. Fighter pilots train to withstand up to 9 g using special suits and techniques.
Interestingly, Earth's actual gravitational acceleration varies slightly by location—from about 9.78 m/s² at the equator to 9.83 m/s² at the poles—due to Earth's rotation and shape. The standard gravity value (9.80665 m/s²) is an internationally agreed reference.
Frequently Asked Questions
How many standard gravities are in one foot per second squared?
One foot per second squared equals 0.031081 standard gravities. To convert, multiply the foot per second squared value by 0.031081. For the reverse, divide the standard gravity value by 0.031081 (or multiply by 32.174).
What is 100 feet per second squared in standard gravities?
100 feet per second squared = 3.1081 standard gravities. This is one of the most commonly searched conversions for this pair.
How precise is the foot per second squared-to-standard gravity conversion?
The factor 0.031081 is accurate to 6 significant figures, derived from international measurement standards. Our calculator uses full precision internally.
Looking for the reverse? Convert Standard Gravity to Foot Per Second Squared
Related Acceleration Converters
Explore other acceleration conversion tools:
- Meters Per Second Squared to Standard Gravities
- Meters Per Second Squared to Feet Per Second Squared
- Standard Gravities to Kilometers Per Hour Per Second
- Standard Gravities to Miles Per Hour Per Second
- Feet Per Second Squared to Inches Per Second Squared
- Standard Gravities to Galileos
- Feet Per Second Squared to Yards Per Second Squared
Related in other categories:
- m/s to km/h — Speed is the integral of acceleration over time
- Kilograms to Pounds — Force = mass × acceleration (F = ma)