Calculate g-force from newtons and the mass they act on, solve for the force or the mass instead, or convert newtons to gram-force (gf) and kgf.
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Newtons to G Force Formula
For constant mass, the equation below gives one-axis net acceleration in multiples of the selected gravity reference. The calculator defaults to standard g₀ = 9.80665 m/s²; the article example and table use the textbook approximation 9.81 m/s².
- Where GF is the number of g-forces
- F is the force in newtons
- m is the mass (kg)
To calculate the g force from newtons, divide the force by the mass, then divide again by 9.81.
| Force (N) | G-Forces (g) |
|---|---|
| 0.5 | 0.051 |
| 1 | 0.102 |
| 2 | 0.204 |
| 3 | 0.306 |
| 5 | 0.510 |
| 7.5 | 0.765 |
| 10 | 1.019 |
| 15 | 1.529 |
| 20 | 2.039 |
| 25 | 2.548 |
| 30 | 3.058 |
| 40 | 4.077 |
| 50 | 5.097 |
| 75 | 7.645 |
| 100 | 10.194 |
| 150 | 15.291 |
| 200 | 20.387 |
| 300 | 30.581 |
| 500 | 50.968 |
| 1000 | 101.937 |
| * Rounded to 3 decimals. Assumes m = 1 kg and the textbook gravity approximation g0 = 9.81 m/s². Formula: g = F / (m · g0). For other masses, divide by m (in kg). | |
Can Newtons Be Converted to G-Force?
Newtons measure force. For constant mass, net force divided by mass gives acceleration; divide that acceleration by 9.80665 m/s² to express it in standard-g units. Felt support load is a different quantity: it depends on the non-gravitational forces acting on the object. A stationary supported object can experience about 1 g of support load while its net acceleration is zero. This calculator does not determine human tolerance or safety.
How to Calculate G Force From Newtons?
Example Problem:
The following example outlines the steps and information needed to calculate g force from newtons.
First, determine the total force in newtons. In this example, the total force is measured to be 45 N.
Next, determine the mass of the object. This object is measured to have a mass of 9kg.
Finally, calculate the number of g-forces using the formula above:
GF = F/m/9.81
GF = 45/9/9.81
GF ≈ 0.510 g (using 9.81 m/s²)
