The piston diameters in Fig. P2-37 are D1 = 10 cm and D2 = 4 cm. When the pressu

Question

The piston diameters in Fig. P2-37 are D1 = 10 cm and D2 = 4 cm. When the pressure in chamber 2 is 2000 kPa and the pressure in chamber 3 is 700 kPa, what is the pressure in chamber 1, in kPa? Consider a 70-kg woman who has a total foot imprint area of 400 cm2. She wishes to walk on the snow, but the snow, but cannot withstand pressures greater than 0.5 kPa. Determine the minimum size of the snowshoes needed (imprint area per shoe) to enable her to walk on the snow without sinking. A vacuum gage connected to a tank reads 30 kPa at location where the barometric reading is 750 mm Hg. Determine the absolute pressure in the tank. Take rho Hg = 13,590 kg/m3. The vacuum pressure of a condenser is given to be 80 kPa. If the atmospheric pressure is 98 kPa. what is the gage pressure and absolute pressure in kPa. kN/m2. lbf/in2 psi, and mm Hg. The barometer of a mountain hiker reads 740 mbars at the beginning of a hiking trip and 630 mbars at the end. Neglecting the effect of aJtitude on local gravitational accel- eration. determine the vertical distance climbed. Assume an average air density of 1.20 kg/m3. Consider a 1.75-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 the man, in kPa. A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass of 3.2 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 150 N on the piston. If the software, investigate the effect ot die spring force in the range of 0 fo 500 N on the pressure inside the cylinder. Plot the pressure against the spring force, and discuss the results. Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on the pressure gage is 80 kPa. determine the distance between the two fluid levels of the manometer if the fluid is (a) mercury (rho = 13.600 kg/m3) or (b) water (rho = 1000 kg/m3). Using EES (or other) software, investigate the effect of the manometer fluid density in the range of 800 to kg/m3 on the differential fluid height of the manometer Plot the differential fluid height against the density, and discuss the results.

Explanation / Answer

P1 * (pi /4 )( D1 ^2 ) = (pi/4) [ P2 * D2^2 + P3 * ( D1^2 - D2 ^2 )

so, P2 = 2000 Kpa

P3 = 700 Kpa

D1 = 10 cm

D2 = 4 cm

substituting these values we get :

P1 = 908 Kpa

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