1. The problem statement, all variables and given/known data Earth is commonly thought of as a sphere, but this is not true. because of Earth's spin, it closely resembles an oblate spheroid, which is just a fancy name for "shaped like a squashed orange". The effect of this spin is a tidal bulge that forms at the equator so that the equatorial radius of Earth is about 21 km greater than the polar radius of 6370 km. The mass of the earth is 5.979 x 10^24 kg. a) Calculate the acceleration due to gravity at the north pole using the definition of gravitational field. b) The acceleration due to gravity at the equator is different from that at the North Pole because the radius is 21 km longer and because of the spinning of the earth. use the definition of gravitational field and centripetal acceleration to calculate the acceleration due to gravity at the equator. c) A 1.00 m pendulum with a 500 g bob is constructed at the equator. An identical pendulum is constructed at the North Pole. They are set to oscillate at the same time, with identical amplitudes. Which pendulum will make the most swings in a time of exactly 8 minutes? Support your answer. 2. Relevant equations acceleration due to gravity= GM/R^2 G= 6.67 x 10^-11 Centripetal acceleration= V^2/r 3. The attempt at a solution a)g=GM/r^2 = (6.67x10^-11)(5.979x10^24) / (6370000m) =9.828 m/s^2 I think I did this part of the question right, since the answer makes sense to me. b)Using the same equation as the first, and adding on 21 km to the radius, I got the answer of 9.764 m/s^2 Now, the question says to also use centripetal acceleration to answer it. I'm not sure how to combine that, so that is where I am stuck. c) I didn't want to attempt this until I get the right answer for the first two. I'm not sure what equation I use for this, though?