Q.1 Solution:
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Q.2 Solution:
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Assignment # 1 MTH 7123
Fall 2019
Maximum Marks: 15
Due Date: November 19, 2019
INSTRUCTIONS
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Question: 1 Marks: 5
Following are some applications of either from fluid statics or fluid dynamics .Complete the table writing the appropriate field against each.
Application | Fluid dynamics / Fluid statics |
---|---|
Basketball floating on bath tub of water | |
Air over the surface of an automobile | |
Circulation of blood | |
Measuring of blood pressure | |
Mass transfer in oil pipelines |
Question2 Marks: 10
A 3kg plastic tank that has a volume of 0.2m3 is filled with liquid water. Assuming the density of water is 1000kgm-3determine the weight of combine system.
@zareen said in MTH7123 Assignment 1 Solution and Discussion:
Question2 Marks: 10
A 3kg plastic tank that has a volume of 0.2m3 is filled with liquid water. Assuming the density of water is 1000kgm-3determine the weight of combine system.
Solution:
Assumption The density of water is constant throughout.
mwater= ρV=(1000 kgm-3)( 0.2 m3)=200kg 3 Marks
mtotal= mwater + mtank=200kg + 3kg = 203kg 3 Marks
W=mg=(203 kg)(9.81ms-2)=1991.40N ≈ 1990N (up to 3 significant digits) 4 Marks
@zareen said in MTH7123 Assignment 1 Solution and Discussion:
Question: 1 Marks: 5
Following are some applications of either from fluid statics or fluid dynamics .Complete the table writing the appropriate field against each.Application
Fluid dynamics / Fluid staticsBasketball floating on bath tub of water
Air over the surface of an automobile
Circulation of blood
Measuring of blood pressure
Mass transfer in oil pipelines
Solution:
The fluid mechanics is defined as the science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics), and the interaction of fluids with solids or other fluids at the boundaries.
Fluid statics is all about pressure. Here are the rules;
Application | Fluid dynamics / Fluid statics |
---|---|
Basketball floating on bath tub of water | Fluid statics |
Air over the surface of an automobile | Fluid dynamic |
Circulation of blood | Fluid dynamic |
Measuring of blood pressure | Fluid static |
Mass transfer in oil pipelines | Fluid dynamic |
Application | Fluid dynamics / Fluid statics |
---|---|
Basketball floating on bath tub of water | dynamic |
Air over the surface of an automobile | dynamic |
Circulation of blood | dynamic |
Measuring of blood pressure | dynamic |
Mass transfer in oil pipelines | static |
@zareen said in MTH7123 Assignment 1 Solution and Discussion:
A 3kg plastic tank that has a volume of 0.2m3 is filled with liquid water. Assuming the density of water is 1000kgm-3determine the weight of combine system.
We know that the density of water is 1000 kg/m2\text{m}^2m2. We can use the following equation to figure out the weight of the combined system.
m=ρVm=\rho Vm=ρV
(Where m is mass, ρ\rhoρ is density, and V is volume)
Substitute the values we know:
m=ρVm=\rho Vm=ρV
m=(1000)(0.2)m=(1000)(0.2)m=(1000)(0.2)
m=200m=200m=200 kg
The combined mass is the mass of the tank plus the water.
mtotal=3+200m_{total}=3+200mtotal=3+200
mtotal=203m_{total}=203mtotal=203 kg
The weight can then be calculated using the following equation:
W=mgW=mgW=mg
(Where W is weight, m is mass and g is force of gravity)
Substitute the values we know:
W=mgW=mgW=mg
W=(203)(9.81)W=(203)(9.81)W=(203)(9.81)
W=1991.43W=1991.43W=1991.43 N
Final Answer:
W=1991.43W=1991.43W=1991.43 N