What is the Coriolis effect?
The Coriolis effect is an apparent deflection of moving objects caused by Earth's rotation. An observer in a rotating reference frame (like Earth's surface) sees moving objects curve from their expected straight-line path. In the northern hemisphere, deflection is to the right; in the southern hemisphere, it is to the left. See also our calculate Polar Moment of Inertia.
What is the formula for the Coriolis force?
The Coriolis force magnitude is calculated as F = 2 × m × v × ω × sin(α), where m is the object's mass, v is its velocity, ω is the angular velocity of the rotating frame, and α is the angle between the velocity vector and the rotation axis. For motion on Earth's surface at a given latitude, the effective vertical component of ω is ω × sin(latitude).
How does the Coriolis effect influence atmospheric and oceanic circulation?
The Coriolis effect is the key driver behind large-scale atmospheric and oceanic patterns. It causes winds to spiral around high- and low-pressure systems (forming cyclones and anticyclones), and deflects ocean currents into massive gyres. Without it, air and water would flow directly from high to low pressure rather than rotating.
When is the Coriolis effect significant versus negligible?
The Coriolis effect becomes significant for objects traveling over large distances or long time periods — such as missiles, aircraft, ocean currents, and wind patterns. For everyday short-range activities like flushing a toilet or throwing a ball, the Coriolis force is many orders of magnitude too small to have any observable effect.
What is Earth's angular velocity used in the calculator?
Earth completes one full rotation (2π radians) approximately every 24 hours, giving an angular velocity ω ≈ 0.0000727 rad/s. This is the default value pre-filled in the calculator. For other rotating systems (e.g. a turntable or centrifuge), you can enter a custom angular velocity.
How does latitude affect the Coriolis force?
The Coriolis force is strongest at the poles (latitude 90°) and zero at the equator (latitude 0°). This is because the effective vertical component of Earth's angular velocity is ω × sin(latitude). At the equator, the rotation axis lies horizontal, so there is no vertical component to deflect horizontal motion.
How does the Coriolis effect influence airplanes and long-range projectiles?
Aircraft and long-range missiles traveling for extended periods must account for Coriolis deflection in their navigation. A missile fired northward from the equator will appear to deflect eastward in the northern hemisphere. Autopilot systems and inertial navigation units incorporate Coriolis corrections to maintain accuracy over long distances.
Is the Coriolis force a real force?
No — the Coriolis force is a 'fictitious' or 'pseudo' force. It only appears when analyzing motion from within a rotating reference frame. An observer in an inertial (non-rotating) frame would see the object move in a straight line; it is the frame itself that is rotating beneath the object, creating the apparent deflection. You might also find our Moment of Inertia Calculator useful.