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Aristotle's wheel paradox 😱 | Mysterious Science
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In the Aristotle's Wheel Paradox, a large wheel has a smaller, fixed concentric circle inside it, and the whole structure rolls along a surface without slipping. At first glance, we expect the larger and smaller circles to trace different distances, since they have different circumferences. But surprisingly, both appear to cover the same ground, which feels like a contradiction. To visualize what is going on, think of it as the smaller wheel moving much slower than the larger wheel. So for the s
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EXPLANATION BELOW Aristotle’s Wheel Paradox describes a wheel with two different-sized rims fixed together, rolling without slipping. Even though the larger rim has a greater circumference, both rims seem to travel the same distance in one full rotation. The explanation is that the smaller rim is not truly rolling on the ground the same way as the larger one. It slips relative to the surface because it is forced to rotate at the same rate as the larger rim. The paradox comes from assuming both r
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Aristotle's Wheel Paradox explains, and proves, all circles are the same circumference. It appears in the #Greek work #Mechanica, attributed to #Aristotle. #greece #history #math #Maths #mathematics #discovery #education #learning | Hellenic History
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Aristotle's Paradox states that a wheel is depicted in two-dimensional space as two circles. Its larger, outer circle is tangential to a horizontal surface (e.g. a road that it rolls on), while the smaller, inner one has the same center and is rigidly affixed to the larger. Assuming the larger circle rolls without slipping (or skidding) for one full revolution, the distances moved by both circles' circumferences are the same. The distance travelled by the larger circle is equal to its circumfere
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