Ce 371 Homework 2

CE 371 HOMEWORK 2
1) Find the difference in pressure between tanks A and B if d1=300mm, d2=150mm, d3=460mm, d4=200 mm and S.GHG =13.6
w=9.80 kN/m3

2)
Determine
the elevation difference, h, between the water levels in the two open tanks shown in the figure. w=9.80 kN/m3

3) An air-filled, hemispherical shell is attached to the ocean floor at a depth of 10 m as shown in the figure. A mercury barometer located inside the shell reads 765 mm Hg, and a mercury U-tube manometer designed to give the outside water pressure indicates a differential reading of 735 mm Hg as illustrated.
Based on these data what is the atmospheric pressure at the ocean surface. mercury=133 kN/m3,
sea water=10.1 kN/m3
4) A partitioned tank as shown contains water and mercury. What is the gage pressure in the air trapped in the left chamber? What pressure would the air on the left need to be pumped to in order to bring water and mercury free surfaces level?
w=9.80 kN/m3, S.Gmercury =13.55

5) Consider a tank containing mercury, water, benzene, and air as shown. Find the air pressure(gage),
If an opening is made in the top of the tank, find the equilibrium level of the mercury in the manometer.
S.Gmercury =13.55
S.Gbenzene =0.879
w=9.80 kN/m3

6) An inverted open tank is held in place by a force R as shown in figure. If the specific gravity of the manometer fluid is 2.5, determine the value of h and R. Neglect the weight of the tank.

1 cm diameter tube R
2 m diameter tank h
Air
3m
2m
Water
1m
Water

ANSWERS
1) 77.217 kPa
2) 0.040 m
3) 94.9 kPa
4) p = 3.48 kPa (gage) ; p= 123 kPa
5) p = 24.7 kPa (gage) ; h=0.116 m
6) h= 2.20m; R=61.6 kN