# Illustration Coriolis force, velocity and angular velocity - Vectors

A body (e.g. an airplane) with the mass $$m$$ moves above the earth with the velocity $$\boldsymbol{v}$$. The earth rotates with angular velocity $$\boldsymbol{\omega}$$ pointing along the earth axis. Since the body is in a rotating system, it experiences a Coriolis force $$\boldsymbol{F}_{\text c}$$, which is orthogonal to $$\boldsymbol{v}$$ and $$\boldsymbol{\omega}$$.
The velocity vector $$\boldsymbol{v}$$ and the angular velocity vector $$\boldsymbol{\omega}$$ include the angle $$\varphi$$ which determines the magnitude of the Coriolis force. At the equator the angle is small, so the Coriolis force is also small.