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MIDTERM-PIT

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QUIZ NO. 01
Situation 01: A liquid compressed in a cylinder has a volume of 1 liter at 2 MPa and
a volume of 990 m3 at 2.5 MPa. Determine the bulk modulus of elasticity of the liquid.
Situation 02: Calculate the specific weight (N/m3) of a gas at 25 °C, if R=117 J/kg-°K
under a pressure of 600 kPa absolute.
Situation 03: Convert 760 mm of mercury into height (m) of (a) oil of specific gravity
0.82, and (b) water.
Situation 04: A lead cube has a total mass of 80 kg. What is the length (cm) of its
side? Take specific gravity of lead equal to 11.3.
Situation 05: Determine the height (m) of the
water and the reading at A when the absolute
pressure at B is 290 kPa.
Situation 06: For the open tank shown, with piezometers
attached on the side, containing two immiscible liquids,
find the elevation of the liquid in piezometer B
and the pressure at the bottom of the tank.
Take unit weight of water equal to 9.79 kN/m3.
Hint: elevation at point A is 2.0m.
QUIZ NO. 02
Situation 01: A fishpond gate 6 ft. wide and 9 ft. high is hinged at the top and help
close by water pressure as shown. Determine the horizontal force at the bottom of the
gate that is required to open it.
Situation 02: Determine the value and location of the horizontal and vertical
components of the force due to water acting on curve (quarter circle) surface AB per
foot of its length.
Situation 03: Surface AB is a circular arc with a radius of 2 m and a width of 1 m.
The distance EB is 4 m. The fluid above surface AB is water. Find the magnitude and
the line of action of the total hydrostatic force acting on surface AB.
Situation 04: A vertical rectangular gate 1.5 m and 3 m high is submerged in water
with its top edge 2 m below the water surface. Find the total pressure acting on one side
of the gate and its location from the bottom of the gate.
ASSIGNMENT NO. 01
Situation 01: Calculate the level “h” of the oil in the figure shown. Both tubes are
open to the atmosphere. Round your answer to the three (3) decimal places and in meter
unit.
Situation 02: A gas at 24 °C and 0.24 MPa abs has a volume of 40 liters and a gas
constant R of 212 J/kg-°K. Determine the mass of the gas. Express your answer in terms
of kilogram unit and round your answer to the three (3) decimal places. Hint: mass of
𝑚
the gas can be solve using 𝜌 = 𝑣 .
Situation 03: Determine the surface tension (N/m) in a tube with 0.2 m radius and
wetting angle of 0° and capillary rise of 5mm. Round your answer to the nearest whole
number.
Situation 04: Oil with a specific gravity of 0.80 is 0.91m deep in an open tank which
is otherwise filled with water. If the tank is 3.05m deep, what is the pressure (kPa) at
the bottom of the tank? Round your answer to three (3) decimal places.
Situation 05: How many meters of mercury are equivalent to 20.6m of oil having a
specific gravity of 0.82? Round your answer to two (2) decimal places.
SEATWORK NO. 01
Situation 01: A vertical rectangular gate 1.5 m wide and 3 m high is submerged in
water with its top edge 2 m below the water surface. Find the total hydrostatic force
acting on the gate and its location form the bottom.
Situation 02: The gate shown in the figure is hinged at A and rests on a smooth floor
at B. The gate is 3 m square and oil having sp. gr. of 0.82 stands to a height of 1.5 m
above the hinge A. The air above the oil surface is under a pressure of 7 kPa. If the gate
weighs 5 kN, determine the vertical force F required to open it.
SEATWORK NO. 02
Situation 01: Determine the magnitude of the resultant force per length due to water
acting on the radial tainter gate shown. Note: show your whole calculation!
w.s
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