Coriolis Effect Calculator
Calculate Coriolis force and deflection from latitude, velocity, and mass
What Is the Coriolis Effect?
The Coriolis effect deflects moving objects on a rotating planet. Earth's rotation creates an apparent force perpendicular to the direction of motion, influencing weather patterns, ocean currents, and long-range projectile paths.
Coriolis Force Formula
$$F_c = 2 m v \Omega \sin\varphi$$\(m\) is mass (kg), \(v\) is velocity (m/s), \(\Omega \approx 7.2921 \times 10^{-5}\) rad/s is Earth's angular velocity, and \(\varphi\) is latitude. The force is zero at the equator (\(\sin 0° = 0\)) and strongest at the poles.
Example: a 100 kg object moving at 10 m/s at 45° latitude experiences \(F_c = 2 \times 100 \times 10 \times 7.2921 \times 10^{-5} \times \sin 45° \approx 0.103\) N.
Real-World Applications
The Coriolis effect shapes cyclone rotation, affects artillery and missile trajectories over long distances, and influences ballistics in sports. In the Northern Hemisphere, deflection is to the right of the motion; in the Southern Hemisphere, to the left.
Frequently Asked Questions
Why is Coriolis force zero at the equator?
At latitude 0°, sin(φ) = 0, so the horizontal Coriolis force vanishes. Maximum deflection occurs near the poles where sin(φ) = ±1.
What value of Ω does this calculator use?
Earth's sidereal rotation rate: Ω = 7.2921 × 10⁻⁵ rad/s. This is the standard value for terrestrial Coriolis calculations.
Does velocity direction matter?
This calculator gives the magnitude of the Coriolis force for a given speed. The actual deflection direction depends on the velocity vector relative to Earth's rotation axis.
What units should I use?
Mass in kilograms, velocity in meters per second, and latitude in degrees. The result is in newtons (N).
Is the Coriolis effect noticeable in everyday life?
For slow, short-range motion the force is tiny. It becomes significant for large-scale atmospheric flow, ocean gyres, and fast projectiles over hundreds of kilometers.