demonstrations:turntable_paradox
Turntable Paradox
Materials: ★★☆ Available in most school laboratories or specialist stores
Difficulty: ★☆☆ Can be easily done by most teenagers
Safety: ★☆☆ Minimal safety procedures required
Categories: Astronomy and Space, Force, Motion
Alternative titles: Billiard Ball Turntable Paradox
Summary
A solid ball placed on a rotating turntable does not simply slide or fly off. Instead, it rolls and follows a spiral orbit around the axis of the turntable at a specific angular speed relative to the turntable’s motion.
Procedure
- Place a rotating turntable on a stable base with its axis vertical.
- Gently place a solid spherical ball near the center of the turntable surface.
- Rotate the turntable at a steady speed.
- Observe the motion of the ball as it rolls across the surface.
- Note how the ball follows a spiral path instead of sliding straight off.
- Compare the ball’s angular speed with that of the turntable.
Links
The Turntable Paradox - Steve Mould:
📄 The Turntable Paradox - C_R 3442: https://www.mapleprimes.com/posts/224435-The-Turntable-Paradox
Variations
- Try different sizes of balls.
- Use balls with different masses but similar radii.
- Vary the rotation speed of the turntable.
- Compare the behavior of a hollow sphere versus a solid sphere.
- Change the friction of the surface (rough vs smooth).
Safety Precautions
- Ensure the turntable is stable and securely mounted.
- Keep hands and loose objects away from the spinning edge.
- Avoid high rotation speeds that may launch the ball dangerously.
Questions to Consider
- Why doesn’t the ball immediately slide off the turntable? (Because rolling friction and rotational inertia redirect its motion into a spiral path.)
- What is the relationship between the ball’s orbital angular speed and the turntable’s angular speed? (For a solid sphere, the ball’s orbital angular speed is 2/7 that of the turntable.)
- How do mass and radius affect the motion? (They change the ball’s moment of inertia, influencing how easily it spins.)
- How does surface friction alter the path?
- Will the ball eventually leave the turntable? (Yes, over time frictional effects and imperfect rolling may cause it to drift outward.)
