Circle Circumference, Radius and Probability
★Exhibit Content: Popular science on pi, the relationship between circumference and radius, and normal distribution probability ★Interaction: Mechanical interaction ★Operation: Exhibit 1: The exhibit consists of two sets of demonstrations, one demonstrating pi and the other demonstrating the relationship between circumference and radius. On the right is a ruler marked with numbers and a sector structure; when the handwheel is turned, the sector retracts and expands. On the left are two disc structures, large and small; when the handwheel is turned, both discs rotate simultaneously, and after the large disc completes one rotation, the small disc completes exactly three rotations. Through the interactive device, visitors can clearly understand the relationship between circumference and radius. Exhibit 2: The exhibit consists of an interactive turntable, small balls, etc. By turning the turntable, visitors observe the process of small balls falling from the top, bouncing left and right after hitting the cylinders, and finally gathering in the compartments at the bottom. The outline formed by the piled balls is a normal curve, thereby learning about probability, normal distribution curves, and related mathematical knowledge. ★Exhibit Overview: This exhibit is a set of interactive mathematics popular science devices for the public, consisting of three parts: a pi demonstration area, a circumference-radius relationship demonstration area, and a probability and normal distribution demonstration area. Through operable handwheels, turntables, and ball-dropping devices, the exhibit transforms abstract mathematical concepts into intuitive visual experiences, allowing visitors to understand the geometric meaning of pi, the quantitative relationship between circumference and radius, and the normal distribution law in probability and statistics through hands-on operation. ★Scientific Principle: 1. Pi and circumference formula: The circumference of a circle C=2πr, the circumference is proportional to the radius, and the proportionality coefficient is pi π. 2. Normal distribution: The result of superimposing a large number of independent random events presents a bell-shaped curve, reflecting the central tendency and dispersion of probability distribution.
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- 2.5×0.25×1.10 2.5×0.25×1.10Dimensions (unit: m) 2.5×0.25×1.10 Brand: KexMall Model: PopsciCat-math-095 1. Materials ① Handwheel assembly: transparent acrylic + 304 stainless steel, 3 sets in total ② Turntable demonstration assembly: cold-rolled steel plate and steel + 304 stainless steel, 3 sets in total ③ Graphic panel: transparent acrylic UV printing, 1 piece in total ④ Interactive accessories: disc (large), disc (small), ruler, sector structure, base plate, arrow, steel balls, cylinders, bottom compartments, etc. 2. Main Configuration ① Pi demonstration group: ruler, sector structure, 1 set of handwheel assembly, 1 set of turntable assembly ② Circumference-radius relationship demonstration group: large disc, small disc, 1 set of handwheel assembly, 1 set of turntable assembly ③ Probability and normal distribution demonstration group: turntable, steel balls, cylinders, bottom compartments, 1 set of handwheel assembly, 1 set of turntable assembly 3. Layout Requirements ① Energy requirement: None ② Installation method: Wall-mounted, requires a flat wall with load-bearing capacity ≥100kg, and a flat floor ③ Entry passage: Door frame dimensions (width×height) ≥2.0m×1.0m, continuous turning intervals in the passage ≥2m ④ Maintenance access: Not required
★Exhibit Content: Popular science on pi, the relationship between circumference and radius, and normal distribution probability ★Interaction: Mechanical interaction ★Operation: Exhibit 1: The exhibit consists of two sets of demonstrations, one demonstrating pi and the other demonstrating the relationship between circumference and radius. On the right is a ruler marked with numbers and a sector structure; when the handwheel is turned, the sector retracts and expands. On the left are two disc structures, large and small; when the handwheel is turned, both discs rotate simultaneously, and after the large disc completes one rotation, the small disc completes exactly three rotations. Through the interactive device, visitors can clearly understand the relationship between circumference and radius. Exhibit 2: The exhibit consists of an interactive turntable, small balls, etc. By turning the turntable, visitors observe the process of small balls falling from the top, bouncing left and right after hitting the cylinders, and finally gathering in the compartments at the bottom. The outline formed by the piled balls is a normal curve, thereby learning about probability, normal distribution curves, and related mathematical knowledge. ★Exhibit Overview: This exhibit is a set of interactive mathematics popular science devices for the public, consisting of three parts: a pi demonstration area, a circumference-radius relationship demonstration area, and a probability and normal distribution demonstration area. Through operable handwheels, turntables, and ball-dropping devices, the exhibit transforms abstract mathematical concepts into intuitive visual experiences, allowing visitors to understand the geometric meaning of pi, the quantitative relationship between circumference and radius, and the normal distribution law in probability and statistics through hands-on operation. ★Scientific Principle: 1. Pi and circumference formula: The circumference of a circle C=2πr, the circumference is proportional to the radius, and the proportionality coefficient is pi π. 2. Normal distribution: The result of superimposing a large number of independent random events presents a bell-shaped curve, reflecting the central tendency and dispersion of probability distribution.
Review
Principle Display: ★★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★ Durability: ★★★ Overall Rating: ★★★★