Area of the Cycloid
★Exhibit Content: Cycloid (roulette) geometric principle ★Interaction: Mechanical interaction ★Operation: Rotate the disc and observe the liquid filling inside the rotating disc. ★Exhibit Description: Through the demonstration of the disc and liquid, the exhibit intuitively shows the formation and area law of the cycloid. It is a recommended exhibit of PopsciCat Exhibit Store. When visitors rotate the disc, they can observe the figure formed by the trajectory of a fixed point on the circumference (cycloid) and the straight line as the circle rolls along the line. Its area is 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 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.
Options
- 0.7×0.7×1.2m 0.7×0.7×1.2mDimensions: 0.7×0.7×1.2m Brand: PopsciCat Model: PopsciCat-math-108 1. Materials: ① Base: frame 2mm cold-rolled sheet, surround 2.0mm cold-rolled sheet, surface baked paint ② Tabletop: Kelaisi artificial stone, thickness ≥12mm, with flame-retardant board underneath ③ Demonstration disc: acrylic/transparent material, for easy observation of liquid filling process ④ Liquid component: sealed design, safe and stable, no leakage ⑤ Instruction plate: 5mm acrylic UV printing, clear graphics and text 2. Main configuration: ① Hefei Panda custom cycloid demonstration disc 1 set ② Liquid filling component 1 set ③ Rotating handle 1 piece 3. Installation requirements: ① Energy requirement: None ② Installation base: floor placement, direct placement ③ Entry passage: door frame size (width×height) ≥0.9m×1.4m, continuous turning interval ≥1.5m ④ Maintenance access: Not required
★Exhibit Content: Cycloid (roulette) geometric principle ★Interaction: Mechanical interaction ★Operation: Rotate the disc and observe the liquid filling inside the rotating disc. ★Exhibit Description: Through the demonstration of the disc and liquid, the exhibit intuitively shows the formation and area law of the cycloid. It is a recommended exhibit of PopsciCat Exhibit Store. When visitors rotate the disc, they can observe the figure formed by the trajectory of a fixed point on the circumference (cycloid) and the straight line as the circle rolls along the line. Its area is 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 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: ★★★