2T2425 CW1 PDF - Fluid Mechanics Past Paper

CW #1 NAME (SURNAME, GIVEN NAME, MI) STUDENT NO. SECTION SIGNATURE DATE Problem Solving 1. If the atmospheric pressure is 101.3 kPa and the absolute pressure at the bottom of the tank in the figure is 231.3...

CW #1 NAME (SURNAME, GIVEN NAME, MI) STUDENT NO. SECTION SIGNATURE DATE Problem Solving 1. If the atmospheric pressure is 101.3 kPa and the absolute pressure at the bottom of the tank in the figure is 231.3 kPa. (Heights are; 1.5 m, 2.5 m, 2.9 m, 0.4 m respectively) Oil (SG 0.89) Water Olive Oil Mercury a. What is the specific gravity of the Olive Oil? b. What is the absolute pressure at the interface of olive oil and mercury? c. What is the gauge pressure at the interface of the olive oil and mercury? 2. An empty drum (no cover) has a height of 3 m and diameter of 1.6 m. The drum is submerged upside down in water with its bottom side being 6 m below the water surface. This causes air to be trapped inside the drum. a. Find the height of the air contained inside the drum. b. Find the absolute pressure inside the drum. 3. Piston A has a cross-section of 1,200 cm2 while Piston B has 800 cm2. B is higher than A by 2 m. If their passage is filled by oil (SG = 0.8) and a 4 kN force is acting on B, a. What is the pressure at Piston B? b. What is the pressure at Piston A? c. What must be the force acting on A to keep this in equilibrium? Page | 1 4. If the gauge pressure measure is -17.1 kPa. Determine the elevations of the piezometers columns E, F,G as well as the height of the deflection of Mercury at the bottom manometer. 5. A triangle with base of 1.2 m and altitude of 1.8 m is submerged vertically in water with the base flushed with the water surface. A horizontal line will divide the triangle at its Center of Pressure a. Find the pressure on the lower half of the triangle (Below the horizontal line) b. Find the hydrostatic force on the lower half of the triangle (Below the horizontal line) c. Find the pressure on the upper half of the triangle (Above the horizontal line) d. Find the hydrostatic force on the upper half of the triangle (Above the horizontal line) Page | 2 6. A curved wall ABC is a formed from a Quarter Circle with radius 5 m and 3 m wide. a. Compute the horizontal hydrostatic force on the wall. b. Compute the vertical hydrostatic force on the wall. c. What is the angle of the resultant force? 7. The Cylindrical Tank shown has a hemispherical end cap. Compute the Horizontal & Vertical component of the total force due to the oil & water acting on the hemisphere. γwater = 9.81 kN/m3 Page | 3