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Assumptions: •No air resistance •Earth is a perfect sphere w/ uniform mass density •Such a hole doesn't collapse under gravity
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If you drop an object through a hole in the Earth stretching from the North Pole to the South Pole, it would oscillate back and forth about 17 times per daypic.twitter.com/crCfBFK2qp
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Another neat fact is that the falling object and a satellite orbiting just above the Earth's surface will have the exact same oscillation period!pic.twitter.com/g7fgYSlmM6
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What if the hole goes not from a pole to pole, but like a general chord, i.e. straight segment through the sphere?
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Interestingly, this "tunnel" just has to be a straight line, doesn't need to go through the centre of Earth for same result.
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but then you'd have to worry about the coriolis force and the ball would hit the wall of the tunnel
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Your gifs are so cool!! I remember making a sketch of this one because of how amazed I was. And then the same concept end up coming in my waves course
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thanks! this one was a rather easy one to make, took me like 5 minutes haha
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If I dropped an object in such a hole, it would rattle back and forth against the sides and eventually stop.
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not under the stated assumptions, no.
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