Hi there, I'm new to this forum. Nice to meet you!
Well, basically, I'm studying under the IB course and I have Mathematics, Physics and Economics as my higher level subjects.
Now that I just finished my exams yesterday, I chanced upon MIT's OCW Courses on Physics by Professor Walter Lewin. After watching the lecture about centripetal acceleration, I had a random thought about the acceleration of objects on the surface of the Earth and wrote a short paper about it. However, I do not have any much knowledge beyond the basics, and I'm not entirely sure about the resultant acceleration. There isn't exactly much information about this on the web too.
Acceleration Towards Earth
From the lecture, I understand that for an object tethered to a string and swirled around in a perfect circle, the centripetal acceleration towards the centre of the circle results in a perceived (from the object's point of view) gravity opposite of the centripetal acceleration (ie outwards of the circle). However, if an object is not tethered in anyway to Earth, does this mean that the spinning of the Earth results in the object accelerating away from the Earth? Does the gravitational acceleration of the Earth affect that?
I'll be discussing this with my Physics teacher soon, but could any of you provide any insights? Thanks!