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G-Force To Velocity Calculator

Easily calculate velocity from G-force with our G-Force to Velocity Calculator. Simple, accurate, and fast physics tool for students, engineers, and pilots.

Formula:

V = √(GF × g × r)

Where: V = velocity, GF = g-forces, g = gravitational acceleration, r = radius

Enter the number of g-forces
Enter the radius of rotation
Standard Earth gravity: 9.81 m/s²
Select desired output unit

Ever wondered how fast something moves when you know the G-force? Our G-Force to Velocity Calculator makes it simple. Whether you’re studying physics, testing flight dynamics, or just curious about motion, this calculator gives you the answer in seconds. No complex math, no confusion - just clear results.

What Is G-Force to Velocity?

G-force measures how much acceleration acts on an object compared to gravity.

When something spins or moves in a circle, that acceleration can be turned into velocity using a simple formula. The faster it spins or moves, the greater the G-force.

The formula that connects G-force and velocity is:

V = √(GF × g × r)

Here’s what each symbol means:

  • V = Velocity (in meters per second, m/s)
  • GF = G-Force (number of g’s)
  • g = Acceleration due to gravity (9.81 m/s²)
  • r = Radius of rotation (in meters)

So, to find velocity, multiply the G-force, gravity, and radius together, then take the square root of that number. It’s that easy.

How Does the G-Force to Velocity Calculator Work?

Our calculator uses the same formula physicists rely on. It automatically converts your values into the right units, does the math, and gives you the velocity instantly.

For example:

If you enter GF = 6, g = 9.81 m/s², and r = 10 m,

you’ll get:

V = √(6 × 9.81 × 10) = 24.26 m/s

That’s the speed of an object experiencing 6 Gs at a 10-meter radius.

How To Use The G-Force To Velocity Calculator

You don’t need to be a physics expert to use it.

  1. Enter the number of G-forces (GF) you want to convert.
  2. Input the radius of rotation (r).
  3. Adjust gravity (g) if needed, or leave it as 9.81 m/s².
  4. Choose your preferred velocity unit — m/s, km/h, mph, ft/s, or knots.
  5. Click “Calculate” to get your result instantly.

The calculator also shows each step of the calculation, so you can learn while you compute.

Real-World Example

Let’s say a jet pilot experiences 9 Gs during a sharp turn, and the turn radius is 10 meters. Using our formula:

V = √(9 × 9.81 × 10)

V = √(882.9)

V = 29.71 m/s

That’s around 106.9 km/h — the pilot feels nine times their body weight pushing them back, all while moving at incredible speed.

Formula Explanation (Made Simple)

The key part is the centripetal acceleration that keeps an object moving in a circle.

When that acceleration equals a multiple of gravity (G-force), you can find speed like this:

V = √(GF × g × r)

So, if the G-force doubles, velocity increases by the square root of two.

That means speed doesn’t rise linearly with G — it grows slower but still faster than you might expect.

Final Verdict

The G-Force To Velocity Calculator is more than a math tool — it’s a quick physics assistant. It helps you understand motion, acceleration, and force in real-world terms. Whether you’re a student or a pro, you’ll find it clear, practical, and fun to use.

FAQs

What is G-force in simple terms?

G-force is how much acceleration you feel compared to Earth’s gravity. 1 G equals the pull you feel standing still on Earth.

How do you calculate velocity from G-force?

Use this formula: V = √(GF × g × r). Multiply G-force, gravity, and radius, then take the square root.

What’s the value of g on Earth?

It’s about 9.81 m/s², though it changes slightly depending on location.

Can this calculator work with feet or miles?

Yes. It automatically converts between meters, feet, kilometers, and miles for accurate results.

What is the unit of velocity?

The standard unit is meters per second (m/s), but you can also get results in km/h, mph, or knots.