# Hydraulics and Geotechnical Engineering

**HGE - Hydraulics and Geotechnical Engineering
Common name: Hydro-Geo**

Fluid Mechanics, Hydrology, Hydraulics and System and Structure, Water Supply and Sewerage, Soil Mechanics and Foundation

**Problem**

A triangular shaped channel is to be designed to carry 700 L/s on a slope of 0.0001. Determine what vertex angle and depth of water over the vertex will be necessary to give a section with minimum perimeter, assuming the channel is made of timber, *n* = 0.012. Use Manning’s formula.

A. θ = 45°, h = 1.425 m |
C. θ = 45°, h = 2.125 m |

B. θ = 90°, h = 2.215 m |
D. θ = 90°, h = 1.215 m |

**Problem**

A vertical circular gate in a tunnel 8 m in diameter has oil (sp. gr. 0.80) on one side and air on the other side as shown in Figure HD-73. If oil is 12 m above the invert and the air pressure is 40 kPa, where will a single support be located to hold the gate in position (above the invert of the gate)?

A. 1.36 m | C. 3.24 m |

B. 1.84 m | D. 2.62 m |

**Problem**

A vertical rectangular plate is submerged half in oil (s = 0.8) and half in water such that its top edge is flushed with the oil surface. What is the ratio of the force exerted by water on the lower half to that by oil acting on the upper half?

A. 1.53 | C. 4.33 |

B. 2.55 | D. 3.25 |

**Problem**

Assuming specific weight of air to be constant at 12 N/m^{3}, what is the approximate height of Mt. Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the same time another mercury barometer at the top of the mountain reads 480 mm.

A. 1642.3 m | C. 3051.4 m |

B. 1934.5 m | D. 1735.2 m |

**Problem**

What is the equivalent pressure head in cm of water to a pressure of 150 kPa?

A. 1340 | C. 1630 |

B. 1140 | D. 1530 |

**Problem**

A circular concrete sewer pipe with coefficient of roughness n = 0.013 is 1.60 m in diameter and flowing half-full has a slope of 4 m per 5 km. Compute the discharge on the sewer pipe in cubic meter per second.

A. 3.456 | C. 1.190 |

B. 2.674 | D. 4.324 |

**Problem**

A 1.25 cm diameter orifice, in a vertical wall of a tank under a constant head of 5.5 m discharged 0.45 cubic meter in 9.5 minutes. Find the coefficient of discharge.

A. 0.62 | C. 0.58 |

B. 0.42 | D. 0.60 |

**Problem**

A barometer reads 760 mm Hg and a pressure gage attached to a tank of oil (s = 0.8) reads 850 cm. What is the absolute pressure in the tank in kilogram per square centimeter?

A. 1.71 | C. 0.32 |

B. 2.54 | D. 3.21 |

**Problem**

Determine the absolute pressure at 250 cm below the free surface of oil (specific gravity = 0.80) if the atmospheric pressure is 101 kPa.

A. 136.25 kPa | C. 120.62 kPa |

B. 125.42 kPa | D. 134.54 kPa |

**Problem**

Determine the absolute pressure in a vessel of mercury at a point 200 mm below its surface.

A. 126 kPa | C. 128 kPa |

B. 130 kPa | D. 132 kPa |