Question: A straight, smooth tunnel is dug through a spherical planet whose mass density r0 is constant. The tunnel passes through the center of the planet

A straight, smooth tunnel is dug through a spherical planet whose mass density r0 is constant. The tunnel passes through the center of the planet and is perpendicular to the planet’s axis of rotation, which is fixed in space. The planet rotates with an angular velocity w such that objects in the tunnel have no acceleration relative to the tunnel. Find w.

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