The acceleration due to gravity at pole and equator can be related as

Step-by-step solution

The acceleration due to gravity g at a point on the surface of the Earth at a latitude is given by the formula g_ = g - R ^2 ^2 , where g is the acceleration due to gravity at the poles, R is the radius of the Earth, and is the angular velocity of the Earth. At the poles, the latitude = 90^ . Substituting this into the formula, we get g_p = g - R ^2 ^2(90^ ) = g - 0 = g . At the equator, the latitude = 0^ . Substituting this into the formula, we get g_e = g - R ^2 ^2(0^ ) = g - R ^2 . Since R ^2 > 0 , it follows th