# Illustration Coriolis acceleration, velocity and angular velocity - Vectors

Coriolis acceleration $$\boldsymbol{a}_{\text c}$$ acts on a body (e.g. an airplane) if it moves with velocity $$\boldsymbol{v}$$ and is in a rotating reference frame, like the earth. The angular velocity of the earth is $$\boldsymbol{\omega}$$. It indicates how fast the earth is rotating.
Coriolis acceleration $$\boldsymbol{a}_{\text c}$$ is always orthogonal to body's velocity $$\boldsymbol{v}$$ and the angular velocity $$\boldsymbol{\omega}$$. The velocity vector $$\boldsymbol{v}$$ and the angular velocity vector $$\boldsymbol{\omega}$$ include the angle $$\varphi$$.