Coriolis Effect Calculator

How Coriolis Effect Calculator Works?

The Coriolis Effect Calculator models the apparent sideways motion of an object observed from a rotating reference frame. It uses the geographic latitude, object velocity, object mass, rotation period, and elapsed time. Latitude determines the sign and strength of the effect: the Coriolis acceleration is zero at the equator, increases toward the poles, and reverses direction between the Northern and Southern Hemispheres.

The rotating body's angular velocity is calculated from its rotation period:

Here, $\Omega$ is angular velocity and $T$ is the rotation period. The latitude-dependent Coriolis parameter is:

In this expression, $\phi$ is latitude. The calculator then estimates the magnitude of sideways Coriolis acceleration for an object moving at speed $v$:

The corresponding apparent Coriolis force follows from Newton's second law:

where $m$ is object mass. Assuming constant velocity, latitude, and rotation rate during the selected interval, the accumulated lateral velocity and displacement are estimated as:

The inputs support latitude in degrees or radians, velocity in m/s, km/h, mph, ft/s, or kn, mass in kg, g, lb, or oz, rotation period in s, min, h, or d, and elapsed time in s, min, h, or d. Outputs include angular velocity, Coriolis parameter, acceleration, force, lateral velocity, and lateral displacement in the supported output units.

Practical Use Cases

Meteorologists can estimate the rotational deflection of moving air at a selected latitude, helping them develop intuition for why large-scale winds curve rather than travel in a straight path.

Physics students can vary latitude, speed, mass, rotation period, and elapsed time to compare the Coriolis parameter, acceleration, apparent force, and accumulated lateral motion in rotating-reference-frame exercises.

Engineers can use the calculator for preliminary assessments of moving vehicles, projectiles, fluid systems, or rotating-platform problems where an apparent sideways acceleration may influence a design or experiment.

Geophysicists and oceanographers can estimate how current or flow speed combines with latitude and planetary rotation to produce a first-order lateral deflection estimate.

Educators and laboratory demonstrators can show that the effect changes sign across the equator, vanishes at zero latitude, grows with speed, and becomes larger over longer elapsed times under the calculator's constant-acceleration model.

Accuracy and Limitations

The calculator accurately evaluates the supplied formulas for angular velocity, the latitude-dependent Coriolis parameter, Coriolis acceleration, force, and the constant-acceleration estimates of lateral velocity and displacement. Its results are idealized: it assumes a constant object velocity, fixed latitude, constant rotation period, and a locally uniform rotating reference frame. The lateral displacement uses $d_{\mathrm{lat}}=0.5a_c{t}^2$, so it is most appropriate for short intervals where the changing direction of the Coriolis acceleration can be neglected. It does not account for aerodynamic drag, pressure gradients, gravity variations, friction, terrain, ocean or atmospheric currents, changing latitude, or the full vector coupling between the object's forward and lateral motion. The displayed acceleration and force represent the Coriolis magnitude, while the sign of latitude indicates the directional reversal between hemispheres.

Quick Examples