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Showing content with the highest reputation on 05/30/21 in Posts

  1. Stephen, much on board with this, that one can hold both the enjoyment of illusions together with their objective explanations. (The song: "Both Sides Now"?) Here are usual (psychological, Ponzo illusion) explanations given for the perception of a larger sun and moon at the horizon. I favor the magnifying, refractive atmosphere theory (not given). https://magazine.scienceconnected.org/2021/03/sunsets-are-illusions-2/
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  2. A counter-intuitive oddity, a brain-teaser rather than a paradox, imo. Quite something that Plato was then onto "tangential velocity" (the 'rotating' speed of various radii) clear above. "tangential velocity is directly proportional to the radius. It increases because tangential velocity is inversely proportional to the radius". Wiki In the Paradox as presented, the suggestive, visual red herring is an *inner* wheel 'track' or line, exactly equalling the length of the outer - except - the wheels are different diameter/circumferences! Of course, the larger one's circumference singly dictates the distance covered and all inner points of a moving object correspond. Paradox explained, I reckon, by the inner wheel turning at a slower (vt) on its 'track' than the larger in order to also complete one identical revolution as the outer rim, and to traverse the identical track distance in the identical time. Demonstrating the non-contradictory nature of a wheel's properties, how it's supposed to act and does act.
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  3. Here is a diagram inverting the illustration to begin with the points on the "wheel" pointing downward. The "spoke" is provided at 10° intervals, which were then used to create the cyan and magenta splines emulating the path of the points as the "wheel" rolled horizontally.
    1 point
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