1. The water in the plumbing in a house is at a gauge pressure of 220,000 Pa. What force does this cause on the top of the tank inside a water heater if the area of the top is 0.3 m2? (Ignore atmospheric pressure.)
2. A viewing window on the side of a large tank at a public aquarium measures 52 in. by 62 in. The average gauge pressure from the water is 6 psi. What is the total outward force on the window?
3. A small statue is recovered in an archaeological dig. Its weight is measured to be 34.3 lb and its volume 0.07 ft3.
(a) What is the statue's weight density?
4. A certain part of an aircraft engine has a volume of 2.0 ft3.
(a) Find the weight of the piece when it is made of lead.
(b) If the same piece is made of aluminum, what is its weight?
(c)Determine how much weight is saved by using aluminum instead of lead.
5. The depth of the Pacific Ocean in the Mariana Trench is 36,198 ft. What is the gauge pressure at this depth?
6. A storage tank 22 m high is filled with gasoline. (Assume the tank is open and exposed to the atmosphere at the top.)
(a) Find the gauge pressure at the bottom of the tank.
(b) Calculate the magnitude of the force produced by the fluid that acts on a square access hatch at the bottom of the tank that measures 0.6 m by 0.6 m.
7. A modern-day zeppelin holds 7,260 m3 of helium. Compute its maximum payload at sea level. (Assume the helium and air to be at 0°C and 1 atm.)
8. A juniper-wood plank measuring 0.49 ft by 1 ft by 19 ft is totally submerged in water.
(a) What is its weight?
(b) What is the buoyant force acting on it?
(c) What is the size and the direction of the net force on it?
Size:
Direction:
9. The wing of an airplane has an average cross-sectional area of 14 m2 and experiences a lift force of 69,000 N. What is the average difference in the air pressure (in N/m^2)between the top and bottom of the wing?