(Solved): A Lathe rotating at \( 200 \mathrm{rpm} \) is used to reduce the diameter of an \( 10 \mathrm{~cm} ...

A Lathe rotating at \( 200 \mathrm{rpm} \) is used to reduce the diameter of an \( 10 \mathrm{~cm} \) long section of stock metal rod from a diameter of \( 99 \mathrm{~mm} \) to \( 95 \mathrm{~mm} \) at a feed rate of \( 3.1 \mathrm{~mm} / \mathrm{rev} \). The force measured at the tool post was \( 3300 \mathrm{~N} \) down and \( 1700 \mathrm{~N} \) pulling the tool toward the workpart. What is the specific energy of this material? \( \mathrm{U}= \) \( \mathrm{J} / \mathrm{mm}^{3} \)