Which statement correctly describes the relationship between gravitational and centrifugal forces?

• A. The gravitational force is stronger than the centrifugal force.
• B. The centrifugal force is stronger than the gravitational force.
• C. They are equal in magnitude.
• D. Both forces are zero.

Answer: (A)

Gravity pulls inward toward the center, while the centrifugal force pushes outward and grows with distance from the rotation axis. Near Earth’s surface, gravity is much larger in magnitude than the centrifugal effect due to Earth's rotation. For example, gravity is about 9.81 m/s^2, while the centrifugal acceleration at the equator from Earth’s rotation is only about 0.03 m/s^2. That means the gravitational force greatly dominates, with the centrifugal force slightly reducing apparent weight but not eliminating gravity.

The centrifugal force is a fictitious force that appears in a rotating frame; it helps explain why objects feel lighter as the rotation rate increases, but it doesn’t surpass gravity under normal conditions here. Only in a very specific balance of radius and rotation speed would the two have equal magnitude, which corresponds to orbital scenarios in the right frame of reference.