35. Ellipsoid Earth. to its rotation, producing an apparent "centrifugal force" pulling the equator outwards. You, at the north pole, and your friend, at latitude 6, decide to drill through the center of the Earth all the way to the other side. Ignoring the different layers of the Earth, and given that the Earth has a radius R along the poles, rotates along the equator at a speed v, has a constant density o everywhere, the difference between the time it takes to fall to the other side of the Earth through the poles and through latitude 0 is given by: The Earth is actually closer to being an ellipsoid than a sphere due n)". cgR At = VazG"o"| b+ egR® e cos! 0 – 1) egR + v(e cos/ 0 - where a, b, c, d, e, §, a, 3, 7, e are dimensionless constants and G, g, are their respective constants. Find Ja| +2|3| + 3|91|+ 4|e]|"!. Hint: Don't let that complicated expression taunt you! What can you say about the units of the final expression?

35. Ellipsoid Earth. to its rotation, producing an apparent "centrifugal force" pulling the equator outwards. You, at the north pole, and your friend, at latitude 6, decide to drill through the center of the Earth all the way to the other side. Ignoring the different layers of the Earth, and given that the Earth has a radius R along the poles, rotates along the equator at a speed v, has a constant density o everywhere, the difference between the time it takes to fall to the other side of the Earth through the poles and through latitude 0 is given by: The Earth is actually closer to being an ellipsoid than a sphere due n)". cgR At = VazG"o"| b+ egR® e cos! 0 – 1) egR + v(e cos/ 0 - where a, b, c, d, e, §, a, 3, 7, e are dimensionless constants and G, g, are their respective constants. Find Ja| +2|3| + 3|91|+ 4|e]|"!. Hint: Don't let that complicated expression taunt you! What can you say about the units of the final expression?