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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.)

5.13 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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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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