Coriolis Effect: Puck on a Carousel

2D twin of the 3D carousel: one motion, two views. From the ground the puck goes straight, from the platform it curves. Same equations as the 3D page.

Switch to 3D

Presets

Playback

Carousel and puck

Launch the puck, then compare the two views. A faster spin bends the path more.

Model checks

The science

Two descriptions of one motion

A frictionless puck feels no horizontal force, so from the ground it moves in a straight line at constant speed. The platform turns underneath it, so from the platform the same path curves. To keep Newton's laws working there you add two fictitious accelerations: centrifugal Ω2 r (outward) and Coriolis -2 Ω × v (sideways, at right angles to the motion).

Launch

The launcher is fixed on the platform, so the puck also carries the deck's own velocity: vin = vrel + Ω × r0. For small spin the sideways drift is about Ω v t2, and the Rossby number Ro = v / (2 Ω L) tells whether rotation (Ro below 1) or inertia dominates.

Earth

On Earth the local vertical part of the planet's spin gives f = 2 ΩE sin(latitude), at most 1.46×10-4 s-1. A carousel turning once every 8 s is hundreds of times faster, which is why the effect is obvious here and invisible in a sink.

Honest simplifications

  • The puck is a point mass with no friction or drag, gravity is carried by the deck, and the deck turns at a constant rate; a rolling ball would behave a little differently because of its own spin.
  • After leaving the deck the puck just keeps its straight line. The deck picture is a Blender render of the 3D page's carousel model.
What to try
  • Press Launch with Standing still, then with Gentle carousel, and compare the two views.
  • Press Aim at the bumper for me and watch the puck curve onto the target.
  • Reverse the spin and see the drift change sides.
  • Raise the launch speed in the third graph: the faster puck is bent less (Rossby number grows).
Sideways drift against platform rotation
Coriolis and centrifugal acceleration along the path
|Drift| against launch speed
Speed along the path in both views
Made with 🟠 Blender