You are asked to predict whether a clock at the North Pole would run faster or slower th...

You are asked to predict whether a clock at the North Pole would run faster or slower than one at the equator. You know that because Earth is somewhat flattened at the poles, the clock at the North Pole would be closer to Earth’s center. You also know that Earth is spinning, so the clock at the equator has a centripetal acceleration. Will the clock at the North Pole tend to run faster or slower than the one at the equator because of (a) Earth’s shape and (b) Earth’s spin?