MET330_Unit 1 REVIEW ASSIGNMENT_
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MET330 Applied Fluids
Week 1 Review Assignment
I pledge to support the Honor System of ECPI. I will refrain from any form of academic
dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the
academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a
Judicial Review Board for determination. I will report to the Judicial Review Board hearing if
summoned.
Type your name here: Date:
Review Assignment
Page 1
2.4. Which would have the greater dynamic viscosity, a cold lubricating oil or fresh water? Explain your answer.
Cold lubricating oil has greater dynamic viscosity than fresh water. Considering cold lubricating oil and fresh water, if we stir the fluids with a rod, a velocity gradient is developed in both the fluids. A greater force is required to stir the cold oil, which indicates the higher shear stress in cold oil. It is a known fact that the dynamic viscosity of a fluid is directly proportional to its shear stress. Thus, we can conclude that the cold lubricating oil has a greater dynamic viscosity.
2.14. Define a
Newtonian fluid
.
As a fluid moves between a moving surface and a stationary surface, a shear stress is developed in the fluid. The shear stress developed is directly proportional to the measure of velocity change.
2.17. Give four examples of the types of fluids that are non-Newtonian.
1. Molasses
2.
Starch in water
3. Paint
4. Mustard 2.36. Define
viscosity index
(
VI
).
A measure of how greatly the viscosity of a fluid changes with temperature.
2.51. If you were asked to check the viscosity of an oil that is described as SAE 40, at what temperatures would you make the measurements?
You would measure at either 40°C (100°F) or 100°C(212°F)
Page 2
3.8 The pressure in a certain tank is −55.8 Pa(abs). (True? Or False? Explain your answer. False, the reason for this is because this is a absolute pressure
(abs) which is always positive.
3.10. The pressure in a certain tank is −150 kPa(gage). (True? Or False? Explain your answer. True, because looking at the unit this is a gauge pressure and assuming the standard atmospheric pressure is 101.3kPA if the gauge pressure is below this it will be negative or sometimes called a vacuum.
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. (
m
2
,
N
m
3
,
m
s
2
,kg, psi ,etc
)
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
.
CORRECT METHOD:
p
=
γ
liquid
g
=
2000
N
m
2
9.81
m
s
2
=
203.874
kg
m
3
Page 3
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p
=
γ
liquid
g
=
2000
N
/
m
3
9.81
m
/
s
2
=
203.874
kg
/
m
3
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:
P = 15
x
10
6
N
/
m
2
F = 30
x
10
3
N
Governing equations:
𝐹
= 𝑃
A
Calculation
The Diameter of the piston is 0.0505m
1.86. Glycerin has a specific gravity of 1.258. How much would 0.50 m
3
of glycerin weigh? What would be its mass?
Known values:
Sg of glycerin = 1.258
Page 4
Volume of glycerin V= 0.5
m
3
Governing equations:
𝑠𝑔
¿
Yglycerin
Yw@
4
° C
Y = w
v
W = mg
Calculations:
Mass of glycerin = 629kg
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:
Page 5
Gasoline sg = 0.68
Diameter of cylinder D = 10m
Depth of gasoline h = 6.75m
Governing equations:
𝑉 = 𝐴ℎ
𝑤 = 𝛾𝑉
𝑘𝑔
𝑠𝑔 = 1000
𝑚
3
Calculations:
Page 6
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Weight of gasoline is
3.48. For the tank in
Fig. 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).
Known values:
Depth of water h2 = 2.8m
Oil sg = 0.86
Pressure at bottom of tank Pbottom = 52.3kPa (gage)
Governing equations:
∆𝑝 = 𝛾ℎ
𝑇 = 𝛾
𝑤
ℎ
𝑤 + 𝛾
𝑜𝑖𝑙
ℎ
𝑜𝑖𝑙
Calculations:
Page 7
Fig for P3.48
The mass of gasoline is
Also, Weight,
The depth of the oil in the tank is 2.94m
3.50. Figure 3.22
represents 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 water
h
2
if the pressure gage at the bottom reads 158 kPa(gage). The total depth
h
T
= 18.0 m.
Known values:
h
2
willbe depthof water
Governing equations:
∆𝑝=𝛾ℎ
𝑇 =𝛾
𝑤
ℎ
𝑤 +𝛾
𝑜𝑖𝑙
ℎ
𝑜𝑖𝑙
Calculations:
The depth of water in the tank is 4.44m
Page 8
Fig for P3.50
3.54. Figure 3.23
shows a closed tank that contains gasoline floating on water. Calculate the air pressure above the gasoline.
Known values:
Governing equations:
𝑝
𝑎𝑡𝑚 = 𝛾
𝑚𝑒𝑟𝑐𝑢𝑟𝑦
ℎ
𝑚𝑒𝑟𝑐𝑢𝑟𝑦 + 𝛾
𝑤𝑎𝑡𝑒𝑟
ℎ
𝑤𝑎𝑡𝑒𝑟 + 𝛾
𝑔𝑎𝑠
ℎ
𝑔𝑎𝑠 = 𝑝
𝑎𝑖𝑟
Calculations:
Air pressure above the gasoline is 43.81 kPa
Page 9
Fig for P3.54
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3.67. For the compound manometer shown in
Fig. 3.31
, calculate the pressure at point A.
Known values:
Governing equations:
𝑝
𝑎𝑡𝑚 + 𝛾
𝑚𝑒𝑟𝑐𝑢𝑟𝑦
ℎ
𝑚𝑒𝑟𝑐𝑢𝑟𝑦 − 𝛾
𝑤𝑎𝑡𝑒𝑟
ℎ
𝑤𝑎𝑡𝑒𝑟
+ 𝛾
𝑚𝑒𝑟𝑐𝑢𝑟𝑦
ℎ
𝑚𝑒𝑟𝑐𝑢𝑟𝑦 − 𝛾
𝑜𝑖𝑙
ℎ
𝑜𝑖𝑙 = 𝑝
𝐴
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:
Page 10
Fig for P3.67
Fig for P4.14
F
R
𝐹
𝑅 = 𝛾
𝑤 𝐴
ℎ
𝑐𝑒𝑛𝑡𝑒𝑟=
h
3
Calculations:
4.17. If the wall in
Fig. 4.29
is 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:
Page 11
L
Fig for P4.17
ℎ
2
4.35. For the water tank shown in
Fig. 4.43
, compute the magnitude and location of the total force on the inclined wall.
Known values:
Governing equations:
Calculations:
4.52. Use
Fig. 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:
Page 12
Fig for P4.35
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Governing equations:
Calculations:
5.7. A concrete block with a specific weight of 23.6 kN/m
3
is 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:
Page 13
T
Fig for P4.35
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/m
3
, what is the minimum required volume of the buoy?
Known values:
Governing equations:
Calculations:
5.12. Figure 5.20
shows a cube floating in a fluid. Derive an expression relating
the submerged depth
X
, the specific weight of the cube, and the specific weight of the fluid.
Known values:
Governing equations:
Page 14
Fig for P5.9
w
c
F
b
Fig for P5.12
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:
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/ft
3
, how much of the barge would be below the water? Is it stable?
Known values:
Page 15
Fig for P5.40
w
c
F
b
20ft
m
barge
= 210,000 lb
m
coal = 240,000 lb
?
?
?
Fig for P5.58
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Governing equations:
MB=
I
Vd
Calculations:
Page 16
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- Need help with thisarrow_forwardFINALS ASSIGNMENT IN ME 3215 COMBUSTION ENGINEERING PROBLEM 1: A Diesel engine overcome a friction of 200 HP and delivers 1000 BHP. Air consumption is 90 kg per minute. The Air/fuel ratio is 15 to 1. Find the following: 1. Indicated horsepower 2. The Mechanical efficiency 3. The Brake Specific Fuel Consumption PROBLEM 2: The brake thermal efficiency of a diesel engine is 30 percent. If the air to fuel ratio by weight is 20 and the calorific value of the fuel used is 41800 kJ/kg, what brake mean effective pressure may be expected at S.P. conditions (Standard Temperature and pressure means 15.6°C and 101.325 kPa, respectively)?arrow_forwardThe following is a series of questions pertaining to the NSPE Code of Ethics. Please indicate whether the statements are true or false. These questions are provided by the NSPE. Note: This ethics test is intended solely to test individual knowledge of the specific language contained in the NSPE Code of Ethics and is not intended to measure individual knowledge of engineering ethics or the ethics of individual engineers or engineering students. Engineers may issue subjective and partial statements if such statements are in writing and consistent with the best interests of their employer, client or the public.arrow_forward
- Task 1 You are employed as a mechanical engineer within an unnamed research center, specializing in the development. of innovative air conditioning systems. Your division is tasked with providing computer-based modeling and design solutions using computational fluid dynamics through ANSYS software. Your primary responsibilities. involve the analysis of horizontal channel dynamics to meet specific criteria. Under the guidance of your immediate supervisor, you have been assigned unique responsibilities within an ongoing project. As a member of the research team, your role includes constructing an appropriate model and executing a sequence of simulation. iterations to explore and enhance channel performance. Figure 1 provides a visualization of the horizontal channel under consideration. Consider 2D, incompressible, steady flowin a horizontal channel at a Reynolds number of 150. The schematic below illustrates the channel flow, not drawn to scale. For simplicity, neglect gravity. The…arrow_forwardQuestion 3 You are working on a design team at a small orthopaedic firm. Your team is starting to work on a lower limb (foot-ankle) prosthesis for individuals who have undergone foot amputation (bone resection at the distal tibia). You remember hearing about "osseointegration" in an exciting orthopaedic engineering class you attended at Clemson, so you plan to attach the foot prosthesis using a solid metal rod inserted into the distal tibia. You think stainless steel or titanium alloy might be a useful rod material. You decide to begin this problem by identifying typical tibial bone anatomy and mechanical behavior (as provided in the tables and image below). You assume the tibial bone can be modeled as a hollow cylinder of cortical bone, as represented in the image. You anticipate the length of the rod will be 1/2 the length of the tibia. Q3G: Critical Thinking: What would you propose to your team as the next step in this analysis? Is it reasonable to assume the rod will experience the…arrow_forwardQuestion 2 You are a biomedical engineer working for a small orthopaedic firm that fabricates rectangular shaped fracture fixation plates from titanium alloy (model = "Ti Fix-It") materials. A recent clinical report documents some problems with the plates implanted into fractured limbs. Specifically, some plates have become permanently bent while patients are in rehab and doing partial weight bearing activities. Your boss asks you to review the technical report that was generated by the previous test engineer (whose job you now have!) and used to verify the design. The brief report states the following... "Ti Fix-It plates were manufactured from Ti-6Al-4V (grade 5) and machined into solid 150 mm long beams with a 4 mm thick and 15 mm wide cross section. Each Ti Fix-It plate was loaded in equilibrium in a 4-point bending test (set-up configuration is provided in drawing below), with an applied load of 1000N. The maximum stress in this set-up was less than the yield stress for the…arrow_forward
- Help!!! Please answer part b correctly like part A. Please!!!!arrow_forwardThis is an engineering problem and not a writing assignment. Please Do Not Reject. I had other engineering tutors on bartleby help me with problems similar to this one. This problem must be presented in a logical order showing the necessary steps used to arrive at an answer. Each homework problem should have the following items unless otherwise stated in the problem: a. Known: State briefly what is known about the problem. b. Schematic: Draw a schematic of the physical system or control volume. c. Assumptions: List all necessary assumptions used to complete the problem. d. Properties: Identify the source of property values not given to you in the problem. Most sources will be from a table in the textbook (i.e. Table A-4). e. Find: State what must be found. f. Analysis: Start your analysis with any necessary equations. Develop your analysis as completely as possible before inserting values and performing the calculations. Draw a box around your answers and include units and follow an…arrow_forwardTask 1 You are employed as a mechanical engineer within an unnamed research center, specializing in the development of innovative air conditioning systems. Your division is tasked with providing computer-based modeling and design solutions using computational fluid dynamics through ANSYS software. Your primary responsibilities involve the analysis of horizontal channel dynamics to meet specific criteria. Under the guidance of your immediate supervisor, you have been assigned unique responsibilities within an ongoing project. As a member of the research team, your role includes constructing an appropriate model and executing a sequence of simulation iterations to explore and enhance channel performance. Figure 1 provides a visualization of the horizontal channel under consideration. Consider 2D, incompressible, steady flow in a horizontal channel at a Reynolds number of 150. The schematic below illustrates the channel flow, not drawn to scale. For simplicity, neglect gravity. The…arrow_forward
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