Check out this fun + educational activity from Scientific American.
Have you ever been on a swing set and suddenly noticed that the person on the swing next to you seems to be swinging almost exactly in time with you? You go up and down at either the same time or exactly opposite each other. This might seem random—but it’s actually physics! Like many things in nature, swing sets have a resonant frequency, which means they have a “favorite” frequency (or speed) of movement. The swing set will naturally want to swing at its favorite speed. You might have experienced this if someone has ever tried to push you too fast on the swing; the preferred speed can actually make you go slower.
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