g-Force to m/s² Converter Formula

Understand the math behind the g-force to m/s² converter. Each variable explained with a worked example.

Use the g-Force to m/s² Converter

Formulas Used

Meters per Second²

mps2 = g_force * 9.80665

Feet per Second²

ftps2 = g_force * 32.174

Variables

VariableDescriptionDefault
g_forceAcceleration (g)(g)1

How It Works

How to Convert g-Force to m/s²

Formula

m/s² = g x 9.80665

The standard acceleration due to gravity (g) is defined as exactly 9.80665 m/s². This value was adopted by the 3rd General Conference on Weights and Measures in 1901 as a standard reference. One g is the nominal gravitational acceleration at sea level on Earth.

Typical Accelerations

| Scenario | Approximate g | |---|---| | Standing on Earth | 1 g | | Commercial aircraft takeoff | 0.3-0.5 g | | Roller coaster peak | 3-6 g | | Fighter jet maneuver | up to 9 g |

Worked Example

Convert 1 g to m/s².

g_force = 1
  1. 01Standard gravity: 1 g = 9.80665 m/s² (exact definition)
  2. 02m/s² = 1 * 9.80665 = 9.80665 m/s²
  3. 03In imperial: 1 g = 32.174 ft/s²

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