A simple sling can be built by placing a projectile in a tube and then spinning it. Consid...

A simple sling can be built by placing a projectile in a tube and then spinning it. Consider a simple model in which the tube is pinned as shown and is rotated about the pin in the horizontal plane at constant angular velocity ω. Assume that there is no friction between the projectile and the inside of the tube and that the projectile is initially kept fixed at a distance d from the open end of the tube.

Figure P3.60

Leting d = 3 ft and L = 7 ft, determine the value of the tube’s (constant) angular velocity ω if, after release, the projectile exits the tube with a (total) speed of 90 ft/s.