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That's angular displacement. I'm not sure, but I think you also need to

specify that the arbitrary radius is perpendicular to the rotation axis.

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11y ago

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Why does earth have 24 hours in a day?

It rotates so that it has day & night. The speed of that rotation is the remnant of the angular velocity imparted by the collision that formed the moon. The fact that that interval is called 24 hours is purely arbitrary and is derived from some ancient civilization being fascinated by base 12 math and dividing day-light into 12 equal parts.


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The imaginary line through Earth's poles is called the axis. It is an imaginary line that Earth rotates around.


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Wherever the person defining it choses to place it. That is why it is called arbitrary.


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