It is proposed to dispose of nuclear wastes-in drums with weight W = 640 lb and volume 8 f...

It is proposed to dispose of nuclear wastes-in drums with weight W = 640 lb and volume 8 ft3—by dropping them into the ocean (υ0 = 0). The force equation for a drum falling through water is

where the buoyant force B is equal tothe weight (at 62.5 lb/ft3) of the volume ofwater displaced by the drum (Archimedes′ principle) and FR is the force of water resistance, found empirically to be 1 lb for each foot per secondof the velocity of a drum. If the drums are likely to burst upon an impact of more than 75 ft/s, what is the maximum depth to which they can be dropped in the ocean without likelihood of bursting?