The discussion revolves around determining the speed required for an object to orbit the Earth at its surface, using the Earth's radius as a key parameter. Participants explore the relationship between gravitational force and centripetal force in the context of orbital mechanics.
Some participants have provided insights into the relationship between gravitational and centripetal forces, while others have noted the lack of mass information in the problem statement. There is an ongoing exploration of different approaches to the problem, with some participants realizing alternative methods for calculating the required speed.
Participants mention the absence of the Earth's mass in the problem statement and question whether it is necessary for solving the problem. There is also a recognition that gravitational acceleration can be approximated without knowing the mass of the Earth.
So I suppose you used the time it takes the Earth to rotate (the time of 1 day). If so then what you calculated is actually the speed with which WE are moving relative to the center of Earth right now. But there's no reason an orbiting object should take the same time to complete one cycle. (If it did happen to take the same time, then we would feel weightless!)brake4country said:
This is the force that is required in order to travel in a circle of radius r at a speed of vbrake4country said:
Hmm... Does gravitational acceleration depend on mass?brake4country said:
brake4country said:
brake4country said:
Right. :)brake4country said:
