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starlord37
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Homework Statement
An astronaut on a spacewalk loses her grip on a circular garter spring (pictured below). Looking at the spring she notices that it is rotating around its axis of rotational symmetry at a rate of 300 rpm. The circumference of the rotating garter spring is 1% longer than that of the garter spring when at rest. Calculate the spring constant of the spring if the radius of the rotating garter spring is R = 20 cm and its mass is 1 kg. (We are looking for the spring constant of the spring if it were cut open and stretched along a straight line.)
Homework Equations
T= Ia T=dL/dt K=1/2Iw^2 PE=1/2kx^2
The Attempt at a Solution
I tried using energy but then realized I had no initial state to compare it to. Then I tried using forces and torque but got stuck. This problem is problem 2 from the Canadian Physics Olympiad
http://phas-outreach.sites.olt.ubc.ca/files/2015/08/CAP-en-v7.pdf