Cycloid Area
★Exhibit Content: Cycloid (roulette) geometric principle ★Interaction: Mechanical interaction ★Operation: 1. Press the "Start" button to make the disc move along the trajectory of the upper circular hole; 2. Roll forward along the straight track and observe the disc; 3. Rotate the disc and observe the liquid filling inside the rotating disc. ★Exhibit Description: Through the demonstration of the disc with the circular hole and the disc with liquid, the exhibit intuitively shows the formation and area law of the cycloid. It is a recommended exhibit from PopsciCat Exhibit Store. When visitors rotate the disc, they can observe that as the circle rolls along a straight line, the figure formed by the fixed point on the circumference (cycloid) and the straight line has an area exactly three times the area of the circle. The liquid filling process inside the disc also verifies this classic geometric conclusion, allowing visitors to experience the wonder of mathematics through interaction. ★Scientific Principle: When a circle rolls along a fixed straight line, the trajectory of a fixed point on the circumference is called a cycloid. The area of the figure formed by this cycloid and the straight track is exactly three times the area of the circle. Why can the liquid in the three small discs exactly fill the cycloid disc? When a circle rolls slowly along a straight line, the trajectory traced by a fixed point on the circle is called a "cycloid". The area of the figure formed by this cycloid and the straight track is exactly three times the area of the circle. This conclusion was first discovered by Galileo. In an era without calculus, calculating the area under a curve was almost an impossible task, but Galileo cleverly measured the area of this figure using physical experiments.
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- Φ1.0×0.2m Φ1.0×0.2mDimensions: Φ1.0×0.2m Brand: PopsciCat Model: PopsciCat-math-105 1. Materials: ① Wall-mounted frame: 1.5mm sheet metal, sturdy and durable, surface sprayed with eco-friendly paint ② Demonstration disc: acrylic material, transparent or translucent design ③ Track components: acrylic + metal material ④ Instruction sign: 5mm acrylic UV printing ⑤ Protective cover: transparent acrylic material 2. Main configuration: ① Disc demonstration device 1 set (including track and drive mechanism) ② Liquid component 1 set (sealed design, safe and stable) ③ "Start" control button 1 ④ Electrical control system: electrical logic control system, equipped with Inertia® K1 PLC controller with protection specially for science exhibits 3. Exhibition requirements: ① Power requirement: AC100-240V, 50/60Hz/100W ② Installation foundation: wall-mounted installation, wall load-bearing capacity ≥100kg/㎡ ③ Entry passage: door frame dimensions (width×height) ≥0.9m×1.2m, continuous turning interval in passage ≥1.5m ④ Maintenance access: not required
★Exhibit Content: Cycloid (roulette) geometric principle ★Interaction: Mechanical interaction ★Operation: 1. Press the "Start" button to make the disc move along the trajectory of the upper circular hole; 2. Roll forward along the straight track and observe the disc; 3. Rotate the disc and observe the liquid filling inside the rotating disc. ★Exhibit Description: Through the demonstration of the disc with the circular hole and the disc with liquid, the exhibit intuitively shows the formation and area law of the cycloid. It is a recommended exhibit from PopsciCat Exhibit Store. When visitors rotate the disc, they can observe that as the circle rolls along a straight line, the figure formed by the fixed point on the circumference (cycloid) and the straight line has an area exactly three times the area of the circle. The liquid filling process inside the disc also verifies this classic geometric conclusion, allowing visitors to experience the wonder of mathematics through interaction. ★Scientific Principle: When a circle rolls along a fixed straight line, the trajectory of a fixed point on the circumference is called a cycloid. The area of the figure formed by this cycloid and the straight track is exactly three times the area of the circle. Why can the liquid in the three small discs exactly fill the cycloid disc? When a circle rolls slowly along a straight line, the trajectory traced by a fixed point on the circle is called a "cycloid". The area of the figure formed by this cycloid and the straight track is exactly three times the area of the circle. This conclusion was first discovered by Galileo. In an era without calculus, calculating the area under a curve was almost an impossible task, but Galileo cleverly measured the area of this figure using physical experiments.
Review
Principle Display: ★★★★ Interaction Effect: ★★★ Ease of Installation: ★★★ Durability: ★★★ Overall Rating: ★★★