You are operating a lathe with an 200 mm diameter manual chuck and it is started...
You are operating a lathe with an 200 mm diameter manual chuck and it is started with a programmed spindle speed of 3000 RPM and a chuck key with a mass of .75 lbs. If you start the lathe with the key still inserted in the chuck how much kinetic energy will the key have when it strikes you in the head? Assume: • The spindle has reached it's programmed speed before the key comes free, • air resistance is negligible, • the center of gravity of the key is 50 mm from the outside diameter of the chuck when it is inserted fully in the chuck, Give your answer in Joules