1. A 80 Kg man has a total foot imprint area of 300 cm2. Determine the pressure this man exerts on the ground if (a) he stands on both feet and (b) he stands on one foot.
2. Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gauge around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mm of Hg. The systolic and diastolic pressures of a healthy person are about 120 mm of Hg and 80 mm of Hg, respectively, and are indicated as 120/80. Express both of these gauge pressures in kPa, and meters of water column.
3. Consider a 1.8-m-tall man standing vertically in water and completely submerged in a pool. Determine the difference between the pressures acting at the head and at the toes of this man, in kPa.
4. A closed tank is 8m high. It is filled with Glycerine up to a depth of 3.5m and linseed oil to another 2.5m. The remaining space is filled with air under a pressure of 150 kPa. If a pressure gauge is fixed at the bottom of the tank what will be its reading. Also calculate absolute pressure. Take relative density of Glycerine and Linseed oil as 1.25 and 0.93 respectively.
5. The hydraulic lift in a car repair shop has an output diameter of 30 cm and is to lift cars up to 2000 kg. Determine the fluid gauge pressure that must be maintained in the reservoir.
6. A heavy car plunges into a lake during an accident and lands at the bottom of the lake on its wheels. The door is 1.2 m high and 1 m wide, and the top edge of the door is 8 m below the free surface of the water. Determine the hydro static force on the door and the location of the pressure center, if (a) the car is well-sealed and it contains air at atmospheric pressure and (b) the car is filled with water.
7. Consider a 4-m-long, 4-m-wide, and 1.5-m-high above ground swimming pool that is filled with water to the rim. (a) Determine the hydro-static force on each wall and the distance of the line of action of this force from the ground. (b) If the height of the walls of the pool is doubled and the pool is filled, will the hydro static force on each wall double or quadruple? Why?
8. A room in the lower level of a cruise ship has a 30-cm-diameter circular window. If the midpoint of the window is 5 m below the water surface, determine the hydro static force acting on the window, and the pressure center. Take the specific gravity of seawater to be 1.025.
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