This document contains 16 multi-part hydraulics problems assigned to civil engineering students. It provides calculations and concepts related to density, specific weight, bulk modulus of elasticity, pressure, volume, specific gravity, surface tension, and acceleration due to gravity. Students are asked to solve problems involving liquids, gases, water, oil, mercury and other materials. The problems cover key concepts in hydraulics including pressure, volume, density, and their relationships.
This document contains 16 multi-part hydraulics problems assigned to civil engineering students. It provides calculations and concepts related to density, specific weight, bulk modulus of elasticity, pressure, volume, specific gravity, surface tension, and acceleration due to gravity. Students are asked to solve problems involving liquids, gases, water, oil, mercury and other materials. The problems cover key concepts in hydraulics including pressure, volume, density, and their relationships.
This document contains 16 multi-part hydraulics problems assigned to civil engineering students. It provides calculations and concepts related to density, specific weight, bulk modulus of elasticity, pressure, volume, specific gravity, surface tension, and acceleration due to gravity. Students are asked to solve problems involving liquids, gases, water, oil, mercury and other materials. The problems cover key concepts in hydraulics including pressure, volume, density, and their relationships.
This document contains 16 multi-part hydraulics problems assigned to civil engineering students. It provides calculations and concepts related to density, specific weight, bulk modulus of elasticity, pressure, volume, specific gravity, surface tension, and acceleration due to gravity. Students are asked to solve problems involving liquids, gases, water, oil, mercury and other materials. The problems cover key concepts in hydraulics including pressure, volume, density, and their relationships.
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POLYTECHNIC UNIVERSITY OF THE PHILIPPINES
Lopez, Quezon Branch
COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
CIEN 30063 Hydraulics 1 November 9, 2022
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Solve the Following:
1. Carbon tetrachloride with a mass of 500 kg is placed in container with 0.325 m3 in volume. a. Compute its density b. Compute its specific weight c. Compute its weight
2. A certain liquid A liquid is which is compressed in
a cylinder, if it has a volume of 1000 cu.m. at 2 MPa and a volume of 990 cu.m. at 2.5 MPa a. Compute the bulk modulus of elasticity b. Compute the percentage of volume decreased c. Compute the coefficient of compressibility.
3. POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Lopez, Quezon Branch COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
4. The glass capillary tube of mercury has a diameter of 2 mm and has a surface tension of 0.514 N/m for θ = 40° a. Compute the depression ‘h’. b. Compute the forced caused by surface tension c. Determine the density of the mercury
5. A 10 m diameter cylindrical tank ha a height of 5 meter and is full of water at 20 degrees
Celsius (unit weight of water is 9.789 kN/m 3). If the water is heated to a temperature of 50 degrees Celsius (unit weight of water is 9.689 kN/m 3). a. Compute the weight of water. b. What is the final volume when heated to a temperature of 50° C? c. Determine the volume of water that will spill over the edge of the tank.
6. A gas is under pressure of 21.868 bas abs at 40 degrees Celsius.
a. compute the pressure in KPa b. Compute the gage pressure c. Compute the gas constant R if has a unit weight of 362 N/m 3 POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Lopez, Quezon Branch COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
7. Estimate the height to which water will rise in a capillary tube of diameter of 3 mm. Use σ = 0.0728 N/m and δ = 9810 N/m3 for water
8. If an object has a mass of 22 kg at sea level.
a. What will be its weight at a point where the acceleration due to gravity g = 9.75 m/s2.? b. What will be its mass at that point? POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Lopez, Quezon Branch COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
9. What is the weight of the 45 kg boulder stone if its brought to a place where the acceleration due to gravity is 395 m/s per minute?
10. A cylincrical tank 80 cm in diameter and 90 cm high is
filled with liquid. The tank and the liquid weighed 420 kg. The weight of the empty tank is 40 kg. What is the unit weight of the liquid in kN/m 3?
11. A lead cube has a total mass of 80 kg and
specific gravity of 11.3. What is the length of its side?
12. A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liter at a pressure of 2 MPa. Compute the bulk modulus of elasticity of the liquid. POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Lopez, Quezon Branch COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
13. At 32 °C and 205 KPa gage, the specific weight of a certain gas was 13.7 M/m 3. Determine the gas constant of this gas
14. A certain liquid has a unit weight of 56 kN/m 3.
d. Compute the mass density e. Compute its specific volume f. Compute its specific gravity
15. A volume of 1 cubic meter of water is subjected to a
pressure increase of 14 MPa. g. Compute the change in its volume if it has a bulk modulus of elasticity of 2200 MPa. h. Compute the percentage of volume decreased POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Lopez, Quezon Branch COLLEGE OF ENGINEERING AND ARCHITECTURE Department of Civil Engineering
16. The pressure on a closed tank reads 58.86 KPa.
a. What is the equivalent height in water? b. What is the equivalent height in terms of oil having specific gravity of 0.85? c. What is the equivalent height in terms of mercury having specific gravity of 13.6?
