## Level 3

# Illustration **Coriolis force, velocity and angular velocity - Vectors**

## Download

- Vector graphics (SVG) download
*awesome for websites* - Pixel graphics (PNG) download
*awesome for presentations*

**Share** — copy and redistribute the material in any medium or format

**Adapt** — remix, transform, and build upon the material for any purpose, even commercially.

**Sharing and adapting of the illustration is allowed with indication of the link to the illustration.**

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.