A 100 g ball is attached to a rubber tube and is spun around in a circle at a rate of one revolution every second. A force of 0.5 N is required to stretch the tube 1.0 cm.
If the original length is L = 1.0 m, what will be the change in length of the rubber tube when the ball is revolving?
It was given as a hint that centripetal force is equal to elastic force:
F_c=mass *length*omega^2,
where length is now the stretched length, that is,
length= L+delta L.
The elastic force is equal to
F_el=k*delta L.
first, I found k to be 50. but I plugged in k to the above equation and tried to find delta L. as .002 , but it's incorrect, hints?
