A sightseeing tourist submarine is constructed. The portals along the side can be assumed to be essentially flat, vertical and 1 meter in diameter. Assume a specific weight of seawater of 10,000 N/m3.
a) If the submarine operates at a depth of 75 meters (to the center of the side portals), what is the hydrostatic force on one of the side portals, in KPa?
b) In relation to the center of a side portal, where is the center of pressure located, in cm?
c) Due to the presence of both upper and lower ballast tanks, both the submarine's weight and center of gravity can be adjusted. It can also be buoyantly analyzed as having a rectangular cross section 4m wide and 6m tall, and a length of 18.6 m. Assume the submarine is submerged halfway (3 meters) into the ocean, (so the tourists can see dolphins both swimming and jumping). Also assume the center of gravity must remain above the center of buoyancy. Where does the center of gravity need to be located in relation to the bottom of the submarine so it remains buoyantly stable with a metacentric height of +0.2m?