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.)
[Figure: Circular garter spring]