If the earth were to spin faster, acceleration due to gravity at the poles

Step-by-step solution

The acceleration due to gravity g' at a latitude is given by the formula g' = g - ² R ² , where g is the acceleration due to gravity at the poles (or in the absence of rotation), is the angular velocity of the earth, and R is the radius of the earth. At the poles, the latitude = 90^ . Substituting = 90^ into the formula, we get 90^ = 0 , so g' = g - ² R (0)² = g . Since the term involving becomes zero at the poles, the acceleration due to gravity at the poles is independent of the angular velocity of the earth's ro