For the mass m, attached to a spring, to move in a circle centripetal force and restoring force of the spring must be equal. Centripetal force is given with this formula:
Restoring force only occurs if the spring is stretched. If L is the length of unstretched spring we have the following formula for restoring force:
r is the length of a circle that mass m is traveling along.
As said above, these two forces have to be equal:
We solve for r:
r(w) will go to infinity when denominator is equal to zero:
Please keep in mind that Hooke's law has it's limitations, and before we reach our critial value of angular velocity spring will be strecthed to a point where Hooke's law does not aply anymore.
R is the distance from the center of the Earth to the object in orbit. So, the object isfalling<span> towards the Earth, but just keeps missing the Earth. This is the real reason astronauts float inside the International </span>Space Station<span> (</span>ISS) - they, and the vehicle are in free-fall<span>.
(I DID NOT WRITE THIS)</span>
<span>The statement Today's Apple Mac computers run with the same internal hardware as the Windows-based PC is true. Mac computers are Windows-based PC because windows has a connection with apple because the idea of it came from one person.</span>