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Square-Wheeled Car

Mathematics

★Exhibit Content: Catenary ★Interaction: Mechanical Interaction ★Operation: Sit on the vehicle, pedal, and feel the difference from riding a bicycle. ★Exhibit Description: The exhibit consists of a shaped platform, auxiliary guiding mechanism, and a square-wheeled vehicle. A circular track with a catenary curve is laid on the platform, and one square-wheeled vehicle is placed on the track. The mechanism connects the bicycle device to the center, making the bicycle rotate around the center. Ride the square-wheeled vehicle and try to ride on the arc-shaped track. Through actual operation of the square-wheeled vehicle, visitors can experience the wonderful feeling that the square wheel can still roll smoothly and feel the magical charm of mathematics. ★Scientific Principle: Visitors can ride on the vehicle smoothly on the arc-shaped track without bumping up and down. The reason is that the track on which the wheel travels is a carefully designed catenary, and the length of the catenary is exactly equal to the side length of the square wheel. During the ride, the distance between the wheel center and the ground remains constant, thus achieving a smooth ride. The curved track of the square-wheeled vehicle is composed of meshing blocks with an inverted catenary surface shape. The arch curvature of the meshing blocks is determined by the catenary curve, and the total length of each inverted catenary arch is equal to the side length of the square wheel. A catenary is a curve whose shape is named for its similarity to the shape of a rope hanging from both ends under uniform gravity. When the square wheel rolls without sliding on a suitable inverted catenary meshing block track, the undulation of the track cancels out the change in the height of the center of gravity caused by the square wheel, and the center of the square wheel always remains at the same height.

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

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