Convert linear acceleration between meters per second squared, feet per second squared and standard gravity.
Example
Standard gravity is exactly 9.80665 m/s², which is about 32.17404856 ft/s². Roller coasters and fighter pilots meet several g: 3 g is 29.41995 m/s².
Calculation method
Every value passes through meters per second squared and is then divided by the exact or conventional factor of the unit you choose. The g used here is standard gravity, a fixed reference rather than a measured local value.
Important notes
The symbol g means standard gravitational acceleration, not grams. Actual gravity varies slightly with latitude and altitude, so a local measurement can differ in the third or fourth digit: 32.174 ft/s² is about 0.99999849 g. Angular acceleration, vibration in decibels and gravity on other planets are not covered.
Standard gravity as a unit
Acceleration converts through meters per second squared. The g used here is standard gravity, defined as exactly 9.80665 m/s², which is about 32.17404856 ft/s². Actual gravity varies slightly with latitude and altitude, so a local measurement may differ in the third or fourth digit; 32.174 ft/s² is about 0.99999849 g. Expressing acceleration in g makes forces on the human body easy to picture, because 1 g is what you feel standing still.
Car and ride accelerations
Average acceleration is change in speed divided by time. A car reaching 100 km/h, about 27.78 m/s, in 10 seconds averages about 2.78 m/s², which is only about 0.28348111 g even though it feels brisk. Hard braking on a dry road can approach 1 g, and roller coasters and fighter pilots experience several g: 3 g is 29.41995 m/s². Convert speeds to m/s with the Speed Converter first when you calculate acceleration from a speed change.
Units and limits of this tool
This converter handles linear acceleration in m/s², ft/s² and g. It does not convert angular acceleration, vibration measured in decibels or gravity values on other planets, and it does not calculate forces; multiply mass by acceleration to find force in newtons, then use the Force Converter if you need kilogram-force or pound-force. Accelerometer apps may subtract gravity automatically, so a phone lying still can show 0 or 1 g depending on the setting.
Worked examples| Input | Result |
|---|
1 g → m/s² | 9.80665 |
3 g → m/s² | 29.41995 |
9.80665 m/s² → ft/s² | 32.17404856 |
2.78 m/s² → g | 0.28348111 |
32.174 ft/s² → g | 0.99999849 |
Frequently asked questions
How fast does a car actually accelerate?
Average acceleration is the change in speed divided by the time taken. A car reaching 100 km/h, about 27.78 m/s, in 10 seconds averages about 2.78 m/s², which is only about 0.28348111 g even though it feels brisk. Hard braking on a dry road can approach 1 g. Convert speeds to m/s with the Speed Converter before calculating.
Why express acceleration in g?
Because it makes forces on the human body easy to picture: 1 g is what you feel standing still. That is why ride and aviation figures are quoted that way, and why 3 g, or 29.41995 m/s², immediately reads as three times your own weight pressing on you.
Does this calculate force?
No, it converts acceleration only. Multiply mass by acceleration to get force in newtons, then use the Force Converter if you need kilogram-force or pound-force. Note too that accelerometer apps may subtract gravity automatically, so a phone lying still can read 0 or 1 g depending on the setting.