Coriolis force
The moving body deflects to the right.

Coriolis Effect Calculator

By Dominik Czernia - PhD candidate.

The Coriolis effect causes objects, which should move in a straight line, to deviate from their course. This is an essential phenomenon that affects, for example, the movement of airplanes and missiles. You can use our Coriolis effect calculator if you want to compute the strength of the Coriolis force acting on an object. Keep reading and find answers to the questions: What is the Coriolis effect? What is the Coriolis effect definition? How does Coriolis effect influence airplanes?

What is the Coriolis effect?

Coriolis effect is caused by the inertial force resulting from the rotational movement of the Earth, which rotates around its own axis from the west to the east. As a result, every moving object will be subject to this rotation and thus change the direction of its movement:

  • in the northern hemisphere, the direction of a moving body deflects to the right,
  • in the southern hemisphere, the direction of a moving body deflects to the left.

Coriolis effect definition

Coriolis force can be easily estimated with the Coriolis effect definition below:

F = m * v * ω * sin(α)

  • F is the Coriolis force,
  • m is the mass of the moving object,
  • v is the velocity of the moving object,
  • ω is the angular velocity of the Earth,
  • α is the latitude at which the object is located.

In our Coriolis effect calculator, the rotating body is assumed to be Earth with angular velocity ω = 2π/24h ≈ 0.0000727 1/s ( means 360° in radians). If you want to change it, you can go to the advanced mode.

You can see from above equation that the magnitude of Coriolis force depends on the latitude at which the object is located. The Coriolis effect is greater near the poles where α = 90° (sin(90°) = 1) and decreases to zero at the equator α = 0° (sin(0°) = 0).

Coriolis effect and airplanes

Do Coriolis effect and airplanes have something in common? Of course they have! Let's say that an airplane (m = 50,000 kg) takes off from London (α = 51.50° N) and travels to North America (to the west) with the velocity v = 500 km/h. With our Coriolis effect calculator we can compute that this airplane is subjected to the Coriolis force F ≈ 800 N which means that it deflects to the north with the acceleration a = F / m = 0.016 m/s². It is almost 0.2% of the Earth's gravity! You can imagine that pilots need to plan a proper flight in advance and fly not to the west but to the southwest to reduce the effect of the Coriolis force.

Dominik Czernia - PhD candidate.

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