10. The U-tube in the figure below has a 1-cm ID and contains mercury as shown. If 20 cm' of water is poured into the righthand leg, what will the free-surface height in each leg be after the sloshing has died down?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Question 10 pls. Complete soln and units
Mercury
10 cm
10 cm
10 cm
Transcribed Image Text:Mercury 10 cm 10 cm 10 cm
Problem Solving:
1. Calculate the force acting on a 30-cm diameter porthole of a ship if the center of
the porthole is 10 m below water level.
2. A U-tube manometer filled with mercury is attached to a gas tank. The level of
mercury on the open end of the manometer is 50 cm higher than the level at the
end attached to the tank. What is the gage pressure of the gas inside the tank?
3. At what depth below the surface of heavy fuel oil (S.G. = 0.92) will produce a gage
pressure of 200 kPa?
4. A pressure gage 6 m above the bottom of the tank containing a liquid reads 90 kPa.
Another gage 4 m above the bottom reads 103 kPa. What is the specific weight of
the fluid?
5. What is the specific weight of five liters of liquid weighing 50 N?
6. A tank of water has a gate in its vertical wall 5 m high and 3 m wide. The top edge
of the gate is 2 m below the surface. What is the hydrostatic force on the gate?
7. The corner plate of the hull of the ship is curved on the arc of a circle with a 1.5 m
radius. If the bottom of the hull is 4.3 m below the seawater (S.G. = 1.03) surface,
what is the magnitude of the force acting on the curved corner plate for 1 meter
length of the hull section?
8. The sides of a triangular area measure 2 m, 3 m, and 3 m respectively. Calculate
the force of water on one side of the area if the 2-m side is horizontal and 10 m
below the surface and the triangle is on a 60º angle sloped upward.
9. In the figure below, the tank contains water and immiscible oil at 20°C. What is h in
cm if the density of the oil is 898 kg/m³?
h
6 cm
12 cm
Oil
Water
8 cm
10. The U-tube in the figure below has a 1-cm ID and contains mercury as shown. If 20
cm of water is poured inta the righthand leg, what will the free-surface height in
each leg be after the sloshing has died down?
Transcribed Image Text:Problem Solving: 1. Calculate the force acting on a 30-cm diameter porthole of a ship if the center of the porthole is 10 m below water level. 2. A U-tube manometer filled with mercury is attached to a gas tank. The level of mercury on the open end of the manometer is 50 cm higher than the level at the end attached to the tank. What is the gage pressure of the gas inside the tank? 3. At what depth below the surface of heavy fuel oil (S.G. = 0.92) will produce a gage pressure of 200 kPa? 4. A pressure gage 6 m above the bottom of the tank containing a liquid reads 90 kPa. Another gage 4 m above the bottom reads 103 kPa. What is the specific weight of the fluid? 5. What is the specific weight of five liters of liquid weighing 50 N? 6. A tank of water has a gate in its vertical wall 5 m high and 3 m wide. The top edge of the gate is 2 m below the surface. What is the hydrostatic force on the gate? 7. The corner plate of the hull of the ship is curved on the arc of a circle with a 1.5 m radius. If the bottom of the hull is 4.3 m below the seawater (S.G. = 1.03) surface, what is the magnitude of the force acting on the curved corner plate for 1 meter length of the hull section? 8. The sides of a triangular area measure 2 m, 3 m, and 3 m respectively. Calculate the force of water on one side of the area if the 2-m side is horizontal and 10 m below the surface and the triangle is on a 60º angle sloped upward. 9. In the figure below, the tank contains water and immiscible oil at 20°C. What is h in cm if the density of the oil is 898 kg/m³? h 6 cm 12 cm Oil Water 8 cm 10. The U-tube in the figure below has a 1-cm ID and contains mercury as shown. If 20 cm of water is poured inta the righthand leg, what will the free-surface height in each leg be after the sloshing has died down?
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