Final answer:
The statement that the acceleration due to gravity is greater at the poles than at the equator is true, because of the Earth's oblate shape and the centrifugal force from Earth's rotation.
Step-by-step explanation:
The statement "The value of acceleration due to gravity is greater at the poles than the equator" is true. This variation in acceleration due to gravity is primarily due to the shape of the Earth, which is an oblate spheroid, meaning it's slightly flatter at the poles and more bulging at the equator. Additionally, because of the Earth's rotation, an object at the equator experiences a stronger centrifugal force outwards, which slightly reduces the object's weight compared to an object at the poles where this force is absent. At the poles, the force of gravity and a stationary object's weight are the same since the centripetal acceleration is effectively zero. On the other hand, at the equator, the centripetal acceleration is in the same direction as the force of gravity, reducing the net force and hence the acceleration due to gravity.