Question

Observe the open tank shown in Figure 1.A and answer the following questions: 5 m 5 m 4 m 4 m 5 m a1 SG = 0.9 2 m a2 SG = 0.85 15 m 10 m 2 m R = 2 m Gate 1 Gate 2 Figure 1.A Figure 1.B A. What will be the gage pressure at the bottom of the tank? Show all your calculation. (5) B. What will be the fluid force acting on gates 1 and 2? Show all your calculation. (5) C. Where will be the location of the pressure force acting on gates 1 and 2? Show your calculation. (5) D. Gates 1 and 2 (hinged from the bottom) are to be closed by forces acting on locations a1 and a2. What will be the amount of these forces that will keep the gates closed? Ignore the weight of the gates and the friction in the hinges and show all your calculations. (5) The solid structure shown on Figure 1.B is to be inserted in the tank (Figure 1.A): E. How much volume of the solid will be under the liquid? Show all your calculation. (5) F. After the solid structure is inserted in the tank. Calculate the pressure at the bottom of the tank? Show all your calculations and reasoning. (5) Assume that water density is 1000 kg/m³.

          Observe the open tank shown in Figure 1.A and answer the following questions:

5 m
5 m
4 m
4 m
5 m
a1
SG = 0.9
2 m
a2
SG = 0.85
15 m
10 m
2 m
R = 2 m
Gate 1
Gate 2
Figure 1.A
Figure 1.B

A. What will be the gage pressure at the bottom of the tank? Show all your calculation. (5)
B. What will be the fluid force acting on gates 1 and 2? Show all your calculation. (5)
C. Where will be the location of the pressure force acting on gates 1 and 2? Show your calculation. (5)
D. Gates 1 and 2 (hinged from the bottom) are to be closed by forces acting on locations a1 and a2. What will be the amount of these forces that will keep the gates closed? Ignore the weight of the gates and the friction in the hinges and show all your calculations. (5)

The solid structure shown on Figure 1.B is to be inserted in the tank (Figure 1.A):

E. How much volume of the solid will be under the liquid? Show all your calculation. (5)
F. After the solid structure is inserted in the tank. Calculate the pressure at the bottom of the tank? Show all your calculations and reasoning. (5)

Assume that water density is 1000 kg/m³.

Observe the open tank shown in Figure 1.A and answer the following questions:

5 m
5 m
4 m
4 m
5 m
a1
SG = 0.9
2 m
a2
SG = 0.85
15 m
10 m
2 m
R = 2 m
Gate 1
Gate 2
Figure 1.A
Figure 1.B

A. What will be the gage pressure at the bottom of the tank? Show all your calculation. (5)
B. What will be the fluid force acting on gates 1 and 2? Show all your calculation. (5)
C. Where will be the location of the pressure force acting on gates 1 and 2? Show your calculation. (5)
D. Gates 1 and 2 (hinged from the bottom) are to be closed by forces acting on locations a1 and a2. What will be the amount of these forces that will keep the gates closed? Ignore the weight of the gates and the friction in the hinges and show all your calculations. (5)

The solid structure shown on Figure 1.B is to be inserted in the tank (Figure 1.A):

E. How much volume of the solid will be under the liquid? Show all your calculation. (5)
F. After the solid structure is inserted in the tank. Calculate the pressure at the bottom of the tank? Show all your calculations and reasoning. (5)

Assume that water density is 1000 kg/m³.

Added by Austin G.

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