# Help rotation and tension

Classical Mechanics Level pending

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, $$r = 0.1 m$$

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