1. The Coriolis force

2. For Visual learners
Example using a ball on a carousel:
You can try it in the park if you are a Kinematic learner
Video from MIT

3. Relative acceleration between frames
𝑟 = 𝑂𝑂′ + 𝑟′ Calculate the derivative: 𝑑 𝑟 𝑑𝑡 = 𝑣 , 𝑑 𝑂𝑂′ 𝑑𝑡 = 𝑣 0 𝑑 𝑟′ 𝑑𝑡 = 𝑑 𝑑𝑡 𝑟 ′ 𝑟 ′ = 𝑑𝑟′ 𝑑𝑡 𝑟 ′ + 𝑟 ′ 𝑑 𝑟 ′ 𝑑𝑡 The first term is 𝑑𝑟′ 𝑑𝑡 𝑟 ′ = 𝑣′ The second term exploits the Poisson formula 𝑟 ′ 𝑑 𝑟 ′ 𝑑𝑡 = 𝑟 ′ 𝜔 × 𝑟 ′ = 𝜔 × 𝑟′ Therefore: 𝑣 = 𝑣 0 + 𝑣′ + 𝜔 × 𝑟′ Similarly the acceleration can be derived to be 𝑎 = 𝑎 0 + 𝑎′ + 𝜔 ×( 𝜔 × 𝑟 ′ )+ 𝑑 𝜔 𝑑𝑡 × 𝑟′ +2( 𝜔 × 𝑣′ ) P 𝑟 O 𝑟′ O’

4. Camera fixed in the lab, no forces, linear motion
Camera fixed to the rotatory system, fictitious force, parabolic trajectory

5. Coriolis force
Pressure
Low

6. Credits: NASA/JPL/Space Science Institute