Help rotation and tension

A thin, uniform rod of length $l$ is rotated with constant angular velocity $\omega$ about an axis passing through its one end and perpendicular to the length of rod. Find the increase in the length.

Details and Assumptions

• Density of material = $d$
• Young's modulus = $Y$

Find a numerical value for $\omega = 40 rad/sec$ , $Y = 2 \times {10}^{11} N/{m}^{2}$ , $d = 10000 kg/{m}^{3}$ , $l = 1.5 m$ and radius of cross section, $r = 0.1 m$