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Sine Curve

Mathematics

★Exhibit Content: Sinusoidal curve motion trajectory ★Interaction: Mechanical interaction ★Operation: 1. Participants read the exhibit description; 2. Participants roll two rollers along the path guide holes; 3. Participants observe and compare the rolling differences of the rollers under the two paths; 4. Participants understand the mathematical principle of the sinusoidal curve; 5. After the experience, visitors leave. ★Exhibit Description: The exhibit consists of two different guide paths (a sinusoidal wave line and a comparison path), roller components with convex points, and a sheet metal painted box. Visitors roll the rollers along the paths, observe the rolling differences of the rollers on different paths, intuitively understand the motion trajectory of the sinusoidal curve, prove that the sinusoidal curve is a wave line, and help understand the image characteristics of the sine function. It is a recommended exhibit of PopsciCat Exhibit Store. ★Scientific Principle: Visitors can roll two rollers along the path guide holes. The rollers have a ring of small convex points, and they can only roll smoothly on the elliptical path, while on the other triangular path, the rollers cannot roll smoothly, which demonstrates that the sinusoidal curve is a wave line. The sinusoidal curve can be expressed as y=Asin(ωx+φ)+k, defined as the graph of the function y=Asin(ωx+φ)+k in a rectangular coordinate system, where sin is the sine symbol, x is the value on the x-axis of the rectangular coordinate system, y is the corresponding y value of the function in the same rectangular coordinate system, and k, ω, and φ are constants (k, ω, φ ∈ R and ω ≠ 0).

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Review

Principle Display: ★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★ Overall Rating: ★★★

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