Marvelous Motion Trajectories
Operation: Turn the handwheel and observe the movement path of the pivot. Function Overview: The exhibit consists of a large disc, a medium disc, a small disc, an operating handwheel, etc. When the handwheel is turned, two small discs will be seen rolling internally tangent to the large disc, and the pivots on the edges of the two small discs surprisingly move along a straight line and a pentagon. Scientific Principle: Why is this? On a plane, when a moving circle rolls along the inside of a fixed circle, the trajectory of a point on this circle is called a hypocycloid. If the radius of the moving circle is exactly half the radius of the fixed circle, the trajectory of any point on the circumference of the moving circle is a straight line. In the exhibit, the diameter of the small disc is exactly half the diameter of the large disc, and the pivot is located exactly on the circumference of the small disc, so its path is a straight line. In machining, the reciprocating linear motion of the blade on a planer utilizes this property of the hypocycloid. The diameter of the smallest disc is one-fifth of the large disc, so the path of the pivot on it is a five-pointed star.
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- 0.9×0.6×0.94 0.9×0.6×0.94Overall Dimensions: 0.9×0.6×0.94 Brand: PopsciCat Model: PopsciCat-Medium-085 Materials: ①Base: 2.0mm cold-rolled steel plate, dimensions not less than 0.75×0.45×0.7m, surface baked paint (or electrostatic powder coating), reserved foot openings for later height adjustment and four-foot balance, reserved AC female socket position for power supply to electrical exhibits ②Tabletop: high-quality flame-retardant fiberglass, total thickness with edge ≧100mm ③Instruction plate: acrylic UV high-precision printing, thickness ≧3mm ④Maintenance door: 2.0mm cold-rolled steel plate, surface baked paint (or electrostatic powder coating) ⑤Gears: orange acrylic ⑥Handwheel: transparent acrylic + 304 stainless steel ⑦Linear track: yellow acrylic ⑧Protective cover: transparent acrylic + orange acrylic Main Configuration: ①Electronic control: electrical logic control system, equipped with Guanjian® K1 type PLC controller with protection specially for science exhibits ②Switching power supply: AC-DC S-60-12/24 input AC100-240V, 50/60Hz, output power 60W ③Button: self-resetting 22mm stainless steel metal button with ring light; LED voltage not higher than 12V to avoid high voltage leakage risk; mechanical life: 1 million times; protection level: IP67; protection method: waterproof. Energy Requirement: AC100-240V, 50/60Hz 100W (standard three-wire socket)
Operation: Turn the handwheel and observe the movement path of the pivot. Function Overview: The exhibit consists of a large disc, a medium disc, a small disc, an operating handwheel, etc. When the handwheel is turned, two small discs will be seen rolling internally tangent to the large disc, and the pivots on the edges of the two small discs surprisingly move along a straight line and a pentagon. Scientific Principle: Why is this? On a plane, when a moving circle rolls along the inside of a fixed circle, the trajectory of a point on this circle is called a hypocycloid. If the radius of the moving circle is exactly half the radius of the fixed circle, the trajectory of any point on the circumference of the moving circle is a straight line. In the exhibit, the diameter of the small disc is exactly half the diameter of the large disc, and the pivot is located exactly on the circumference of the small disc, so its path is a straight line. In machining, the reciprocating linear motion of the blade on a planer utilizes this property of the hypocycloid. The diameter of the smallest disc is one-fifth of the large disc, so the path of the pivot on it is a five-pointed star.