Review Assignment Problems
a.
Identify and list
all variables from the problem.
b.
W
rite the equation(s) you will use that are
found in the textbook
.
Do not use any other equations.
c.
S
ubstitute your variables into the equation.
YOU MUST INCLUDE UNITS IN ALL PLACES OF YOUR EQUATIONS.
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d.
You must show all of your work, even “simple” calculations.
During your calculations, please use 3 decimal places or 3 significant decimal places.
This does not apply to financial cost calculations.
e.
Clearly identify your answer
with correct units
.
ü
CORRECT METHOD:
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x
INCORRECT METHOD:
p2 = (W * a)/g + p1 = a^2 - Ap – μ = 0
1.52.
The maximum pressure that can be developed for a certain fluid power cylinder is 15.0 MPa. Compute the required diameter for the piston if the cylinder must exert a force of 30 kN.
Known values:
Governing equations:
Calculations:
1.86.
Glycerin has a specific gravity of 1.258. How much would 0.50 m3of glycerin weigh? What would be its mass?
Known values:
Governing equations:
Calculations:
1.93.
A storage vessel for gasoline (sg = 0.68) is a vertical cylinder 10 m in diameter. If it is filled to a depth of 6.75 m, calculate the weight and mass of the gasoline.
Known values:
Governing equations:
Calculations:
3.48.
For the tank inFig. 3.22, compute the depth of the oil if the depth of the water is 2.80 m and the gage at the bottom of the tank reads 52.3 kPa(gage).
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Known values:
Governing equations:
Calculations:
3.50.
Figure 3.22represents an oil storage drum that is open to the atmosphere at the top. Some water was accidentally pumped into the tank and settled to the bottom as shown in the figure. Calculate the depth of the waterh
2if the pressure gage at the bottom reads 158 kPa(gage). The total depthhT
= 18.0 m.
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Known values:
Governing equations:
Calculations:
3.54.
Figure 3.23shows a closed tank that contains gasoline floating on water. Calculate the air pressure above the gasoline.
Known values:
Governing equations:
Calculations:
3.67.
Forthe compound manometer shown inFig. 3.31, calculate the pressure at point A.
Known values:
Governing equations:
Calculations:
4.14.
A rectangular gate is installed in a vertical wall of a reservoir, as shown in
Fig. 4.26
. Compute the magnitude of the resultant force on the gate and the location of the center of pressure. Also compute the force on each of the two latches shown.
Known values:
Governing equations:
Calculations:
4.17.
If the wall inFig. 4.29is 4 m long, calculate the total force on the wall due to the oil pressure. Also determine the location of the center of pressure and show the resultant force on the wall.
Known values:
Governing equations:
Calculations:
4.35.
For the water tank shown inFig. 4.43, compute the magnitude and location of the total force on the inclined wall.
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Known values:
Governing equations:
Calculations:
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4.52.
UseFig. 4.52. The surface is 1.50 m long.
Compute the magnitude of the horizontal component of the force and compute the vertical component of the force exerted by the fluid on that surface. Then compute the magnitude of the resultant force and its direction. Show the resultant force acting on the curved surface.
Known values:
Governing equations:
Calculations:
5.7.
A concrete block with a specific weight of 23.6 kN/m3is suspended by a rope in a solution with a specific gravity of 1.15. What is the volume of the concrete block if the tension in the rope is 2.67 kN?
Known values:
Governing equations:
Calculations:
5.9.
A steel cube 100 mm on a side weighs 80 N. We want to hold the cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 470 N/m3, what is the minimum required volume of the buoy?
Known values:
Governing equations:
Calculations:
5.12.
Figure 5.20shows a cube floating in a fluid. Derive an expression relating the submerged depthX, the specific weight of the cube, and the specific weight of the fluid.
Known values:
Governing equations:
Calculations:
5.40.
A container for an emergency beacon is a rectangular shape 30.0 in wide, 40.0 in long, and 22.0 in high. Its center of gravity is 10.50 in above its base. The container weighs 250 lb. Will the box be stable with the 30.0-in by 40.0-in side parallel to the surface in plain water?
Known values:
Governing equations:
Calculations:
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5.58.
If the barge in
Problem 5.57
is loaded with 240 000 lb of loose coal having an average density of 45 lb/ft3, how much of the barge would be below the water? Is it stable?
Known values:
Governing equations:
Calculations: