5.13 A hydrometer is a device for indicating the specific gravity of liquids. Figure 5.21 shows the design for a hydrometer in which the bottom part is a hollow cylinder with a 1.00-in diameter, and the top is a tube with a 0.25-in diameter. The empty hydrometer weighs 0.020 lb. What weight of steel balls should be added to make the hydrometer float in the position shown in fresh water? (Note that this is for a specific gravity of 1.00.)

Elements Of Electromagnetics
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can you find the solution for question 5.13

LA certain standard steel pipe has an outside diameter
Au mm. and a l m leneth of the nina iak
5.8 Figure 5.19 shows a pump partially submerged in oil
(sg = 0.90) and supported by springs. If the total
weight of the pump is 14.6 lb and the submerged volume
is 40 in', calculate the supporting force exerted by the
springs.
5.9 A steel cube 100 mm on a side weighs 80 N. We want to
hold the cube in equilibrium under water by attaching a
light foam buoy to it. If the foam weighs 470 N/m, what
is the minimum required volume of the buoy?
5.10 A cylindrical drum is 2 ft in diameter, 3 ft long, and
weighs 30 lb when empty. Aluminum weights are to be
placed inside the drum to make it neutrally buoyant in
fresh water. What volume of aluminum will be required if
it weighs 0.100 lb/in'?
5.11 If the aluminum weights described in Problem 5.10 are
placed outside the drum, what volume will be required?
5.12 Figure 5.20 shows a cube floating in a fluid. Derive an
expression relating the submerged depth X, the specific
weight of the cube, and the specific weight of the fluid.
5.13 A hydrometer is a device for indicating the specific gravity
of liquids. Figure 5.21 shows the design for a hydrometer
in which the bottom part is a hollow cylinder with a
1.00-in diameter, and the top is a tube with a 0.25-in
diameter. The empty hydrometer weighs 0.020 lb. What
weight of steel balls should be added to make the
hydrometer float in the position shown in fresh water?
(Note that this is for a specific gravity of 1.00.)
5.14 For the hydrometer designed in Problem 5.13, what will
be the specific gravity of the fluid in which the hydrom-
eter would float at the top mark?
5.15 For the hydrometer designed in Problem 5.13, what will
be the specific gravity of the fluid in which the hydrom-
eter would float at the bottom mark?
5.16 A buoy is to support a cone-shaped instrument package,
as shown in Fig. 5.22. The buoy is made from a uniform
material having a specific weight of 8.00 lb/ft'. At least
1.50 ft of the buoy must be above the surface of the seawa-
ter for safety and visibility. Calculate the maximum allow-
able weight of the instrument package.
1.00 in
1.00 in
1.30 in
0,25-in diameter
1.50 in
Steel shot
1.00-in diameter
FIGURE 5.21 Hydrometer for Problems 5.13-5.15.
Transcribed Image Text:LA certain standard steel pipe has an outside diameter Au mm. and a l m leneth of the nina iak 5.8 Figure 5.19 shows a pump partially submerged in oil (sg = 0.90) and supported by springs. If the total weight of the pump is 14.6 lb and the submerged volume is 40 in', calculate the supporting force exerted by the springs. 5.9 A steel cube 100 mm on a side weighs 80 N. We want to hold the cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 470 N/m, what is the minimum required volume of the buoy? 5.10 A cylindrical drum is 2 ft in diameter, 3 ft long, and weighs 30 lb when empty. Aluminum weights are to be placed inside the drum to make it neutrally buoyant in fresh water. What volume of aluminum will be required if it weighs 0.100 lb/in'? 5.11 If the aluminum weights described in Problem 5.10 are placed outside the drum, what volume will be required? 5.12 Figure 5.20 shows a cube floating in a fluid. Derive an expression relating the submerged depth X, the specific weight of the cube, and the specific weight of the fluid. 5.13 A hydrometer is a device for indicating the specific gravity of liquids. Figure 5.21 shows the design for a hydrometer in which the bottom part is a hollow cylinder with a 1.00-in diameter, and the top is a tube with a 0.25-in diameter. The empty hydrometer weighs 0.020 lb. What weight of steel balls should be added to make the hydrometer float in the position shown in fresh water? (Note that this is for a specific gravity of 1.00.) 5.14 For the hydrometer designed in Problem 5.13, what will be the specific gravity of the fluid in which the hydrom- eter would float at the top mark? 5.15 For the hydrometer designed in Problem 5.13, what will be the specific gravity of the fluid in which the hydrom- eter would float at the bottom mark? 5.16 A buoy is to support a cone-shaped instrument package, as shown in Fig. 5.22. The buoy is made from a uniform material having a specific weight of 8.00 lb/ft'. At least 1.50 ft of the buoy must be above the surface of the seawa- ter for safety and visibility. Calculate the maximum allow- able weight of the instrument package. 1.00 in 1.00 in 1.30 in 0,25-in diameter 1.50 in Steel shot 1.00-in diameter FIGURE 5.21 Hydrometer for Problems 5.13-5.15.
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