One arm of a centrifuge is arranged as follows; it is a solid aluminum cylinder 0.10 -meters long and has a cross-sectional area of 1.3 X 10^4 m^2. At one end of the arm is the axis and at the other end of the arm is a 0.58-kg specimen holder. By how much does the aluminum arm stretch when the centrifuge has an angular speed of 180 rad/s?