Skip to main content
Calcimator

Artificial Gravity Calculator

Calculate rotation rate, gravity gradient, and comfort rating for centripetal artificial gravity systems.

Inputs

Results

Rotation rate (RPM)

2.61

Floor velocity (m/s)13.65
Gravity gradient (%)3.6%
Comfort rating (0-3)2
Coriolis severity2.6
Radius for 2 RPM (m)85
How to Use This Calculator
  1. Enter the habitat rotation rate in RPM.
  2. Input the radius of the rotating habitat in meters from the axis of rotation.
  3. Review the calculated artificial gravity level in fractions of Earth g at that radius.
  4. Adjust RPM or radius to hit your target g-level (0.3-1.0 g is the typical design range).
  5. Check the Coriolis effect intensity — rates above 2-3 RPM are uncomfortable for most occupants.

How the result changes with Target gravity (g)

Target gravity (g)Rotation rate (RPM)
0.211.93
0.713.56
1.34.82
1.85.67

What each input means

Target gravity (g)
Desired gravity (Mars = 0.38g, Moon = 0.17g, Earth = 1.0g).
Rotation radius (m)
Distance from center to floor.
Crew height (m)
Average crew height for gradient calculation.

What each result means

Rotation rate (RPM)
Revolutions per minute needed.
Floor velocity (m/s)
Tangential speed at the floor.
Gravity gradient (%)
Gravity difference head-to-feet (< 10% ideal).
Comfort rating (0-3)
0 = Intolerable, 1 = Challenging, 2 = Tolerable, 3 = Comfortable.
Coriolis severity
Higher = stronger Coriolis effects on movement.
Radius for 2 RPM (m)
Minimum radius to achieve target-g at 2 RPM comfort.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Target gravity (g) = 0.38, Rotation radius (m) = 50, Crew height (m) = 1.8 = 3 input(s) provided
  2. Calculate Rotation rate
    Rotation rate = round(omega * 60 / (2 * π) * 100) / 100
    2.61 = 2.61
  3. Calculate Floor velocity
    Floor velocity = round(omega * radiusMeters * 100) / 100
    13.65 = 13.65
  4. Calculate Gravity gradient
    Gravity gradient
    3.6 = 3.6%

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

More in Science & Physics.