Elongation of a rotating string with mass attached to it

Question

How can we calculate the elongation of a rotating string with a mass attached to it? We know, that the mass has a velocity of v and the other end of the string is fixed. Gravity is normal earth gravity and the rotation is perpendicular with the earth surface.

user256872 · Answer

Use centripetal force equation (to find tension). Then, use the equation for Young's modulus. Recall that Young's modulus is$$mathcal Y = dfrac{F_perp}{A}dfrac{l_0}{Delta l}$$

Elongation of a rotating string with mass attached to it

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