CE-218 Fluid Mechanics
2021-2022 Spring Semester
EXERCISE SET I
1. If force, length, and time are selected as the three fundamental dimensions, what are the dimensions on mass?
2. A liquid mass occupies 2 m3. Calculate the density, specific weight, and specific gravity if the liquid mass is
(a) 4 kg, (b) 8 kg, (c) 15 kg.
3. Two kilograms of 40
air is contained in a 4 m3volume. Calculate the pressure, density, specific volume,
and specific weight.
4. A pressure is measured to be a vacuum of 23 kPa at a location where the elevation is 2000 m. What is the
absolute pressure in (a) kPa?, and (b) in millimeters of mercury?
5. A gage reads a pressure of 24 kPa. What is the absolute pressure at (a) sea level?, (b) 4000 m?, (c) 8000 m?
6. Convert 230 kPa to (a) millimeters of water, and (b) millimeters of mercury.
7. Calculate the pressure difference between the air pipe and
the water pipe in the figure if His:
(a) 5 cm,
(b) 8 cm,
(c) 10 cm.
8. Find the force Pneeded to hold the 2-m-wide gate in the
figure in the position shown if h= 1.2 m.
9. A 60-cm square gate has its top edge 12 m below the water surface. It is
on a 45
°
angle and its bottom edge is hinged as shown in the figure. What
force Pis needed to just open the gate?
10. Determine the depth of a fluid needed to create a pressure difference of 225 kPa if the fluid is
(a) water, (b) air at standard conditions, (c) mercury, and (d) oil with SG = 0.86.
