So me and my physics professor were having a discussion on the coriolis effect and then we somehow got to talking about the earth's rotation and how it has an affect on the acceleration due to gravity, that is the g= 9.8 m/s^2. The professor had to leave however because his lecture was starting and we never really got to discuss it. So I was thinking about it myself and figured that if the earth's rotation changes then the centripetal acceleration would change because the velocity is increasing or decreasing. This must mean the acceleration of gravity has changed. Is this correct? This isn't a homework question just some general curiosity.