Convert Feet Per Second Squared (ft/s²) to Standard Gravities (g)

1 foot per second squared equals 0.031081 standard gravities.

Formula: g = ft/s² × 0.031081

Foot Per Second Squared to Standard Gravity Converter

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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 in 1 ft/s².

Common Foot Per Second Squared to Standard Gravity Conversions

Foot Per Second Squared to Standard Gravity (Part 1)
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 to Standard Gravity (Part 2)
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 Standard gravities Actions
0.01 ft/s² 0.00031081 g
0.025 ft/s² 0.000777024 g
0.05 ft/s² 0.00155405 g
0.1 ft/s² 0.0031081 g
14 ft/s² 0.00777024 g
12 ft/s² 0.0155405 g
1 ft/s² 0.031081 g
12 ft/s² 0.0777024 g
5 ft/s² 0.155405 g
10 ft/s² 0.31081 g
25 ft/s² 0.777024 g
50 ft/s² 1.55405 g

Feet Per Second Squared to Standard Gravities Table
100 to 10000000

Feet per second squared Standard gravities Actions
100 ft/s² 3.1081 g
250 ft/s² 7.77024 g
500 ft/s² 15.5405 g
1000 ft/s² 31.081 g
2500 ft/s² 77.7024 g
5000 ft/s² 155.405 g
10000 ft/s² 310.81 g
25000 ft/s² 777.024 g
50000 ft/s² 1554.05 g
100000 ft/s² 3108.1 g
250000 ft/s² 7770.24 g
500000 ft/s² 15540.5 g
1000000 ft/s² 31081 g
2500000 ft/s² 77702.4 g
5000000 ft/s² 155405 g
10000000 ft/s² 310810 g

Standard Gravities to Feet Per Second Squared Table
0.0001 to 12

Standard gravities Feet per second squared Actions
0.0001 g 0.0032174 ft/s²
0.00025 g 0.00804351 ft/s²
0.0005 g 0.016087 ft/s²
0.001 g 0.032174 ft/s²
0.0025 g 0.0804351 ft/s²
0.005 g 0.16087 ft/s²
0.01 g 0.32174 ft/s²
0.025 g 0.804351 ft/s²
0.05 g 1.6087 ft/s²
0.1 g 3.2174 ft/s²
14 g 8.04351 ft/s²
12 g 16.087 ft/s²

Standard Gravities to Feet Per Second Squared Table
1 to 100000

Standard gravities Feet per second squared Actions
1 g 32.174 ft/s²
12 g 80.4351 ft/s²
5 g 160.87 ft/s²
10 g 321.74 ft/s²
25 g 804.351 ft/s²
50 g 1608.7 ft/s²
100 g 3217.4 ft/s²
250 g 8043.51 ft/s²
500 g 16087 ft/s²
1000 g 32174 ft/s²
2500 g 80435.1 ft/s²
5000 g 160870 ft/s²
10000 g 321740 ft/s²
25000 g 804351 ft/s²
50000 g 1608700 ft/s²
100000 g 3217400 ft/s²

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:

  1. 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.
  2. Standard Gravity (g): 1 ft/s² is approximately 0.03108 g. Earth's gravitational acceleration equals about 32.174 ft/s².
  3. Galileo (Gal): 1 ft/s² equals 30.48 Gal. This is useful when converting between imperial acceleration and CGS geodetic measurements.
  4. Inch per Second Squared (in/s²): 1 ft/s² equals exactly 12 in/s². This conversion is used in precision engineering applications.
  5. 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:

  1. 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.
  2. 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.
  3. Galileo (Gal): 1 g equals 980.665 Gal. Since 1 Gal = 1 cm/s², this conversion is straightforward and used in geophysical measurements.
  4. 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.
  5. 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.

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Conversion factors verified against NIST, BIPM Derived from SI base units (m/s², BIPM). Last reviewed: March 2026
Tiago Fernandes Reviewed by Tiago Fernandes

All unit conversions on CoolConversion use conversion factors defined or documented by internationally recognised standards bodies (such as ISO and NIST), including both SI and non-SI units.