3. a) Gauge A shown in FIGURE Q3 reads 350 kPa absolute. The densities of mercury, air, and water can be taken to be ?_mercury = 13,600 kg/m^3, ?_air = 1.23 kg/m^3, ?_water = 1000 kg/m^3, while the acceleration due to gravity, g = 9.81 m/s^2. Air: 180 kPa abs FIGURE Q3 n? Water 80 cm A Mercury B i) What is the height h of the water in cm? [3 marks] ii) What should gauge B read in kPa absolute? [3 marks] b) A square shaft, 10 mm × 10 mm in cross-section, is pulled through a lubricated bearing, which is 20 cm long, at a velocity of 50 m/s. The square opening in the bearing has sides 11 mm × 11 mm and the lubricant has a coefficient of dynamic viscosity of 0.04 Pa·s. Determine the force required to pull the shaft. [4 marks]
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