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MTH642 ASSIGNMENT NO. 1 FALL 2022 |
MTH642 ASSIGNMENT NO. 1 FALL 2022 || 100% RIGHT SOLUTION || FLUID MECHANICS || BY VuTech
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Assignment # 1 MTH 642
Fall 2022
Maximum Marks: 15
Due Date: 30-11- 2022
INSTRUCTIONS
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solution to this assignment:
•
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lectures # 01-11
•
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Question:
Marks: 8+7=15
Q1:
(a) What is the difference between gage pressure and absolute pressure?
Solution:
Difference between Gauge Pressure and
Absolute Pressure
|
|
Gauge Pressure |
Absolute Pressure |
|
1. |
Gauge
pressure is defined as the pressure relative to barometric or atmospheric
pressure. |
Absolute
pressure is defined as the pressure of having no matter inside a perfect
vacuum of space. |
|
2. |
It
doesn’t take atmospheric pressure into account. It is equal to Absolute
pressure minus atmospheric or ambient pressure. |
It
is the addition of atmospheric pressure and gauge pressure. It is used for
the calculation of atmospheric pressure |
|
3. |
It
uses atmospheric pressure (14.7 PSI) as its Zero point. |
Calculations
that took in absolute pressure and use this absolute zero as their reference
point. |
|
4. |
It
cannot be used in gas law calculations as it doesn’t reflect accurate
pressure but rather a difference in pressure. |
It
gives accurate barometric or atmospheric pressure when sealed in a high
vacuum behind the detecting diaphragm. |
|
5. |
It
is greatly influenced by changes in altitude or weather conditions in atmospheric
pressure. |
It
doesn’t get influenced by any external changes in atmospheric pressure. |
|
6. |
The formula of Gauge pressure is given
by, pg = ps – patm , (Where pg is gauge
pressure, ps is system pressure and Patm is atmospheric pressure) |
The formula of Absolute pressure is given
by: pa = pg + patm (Where pa is
absolute pressure, pg is gauge
pressure and Patm is atmospheric
pressure) |
|
7. |
It
is used in machines like Well pumps, Air compressors, and Tire gauges. |
It
is used for leak testing in a totally sealed container, smartwatches, and
navigation systems for altimeter measurements. |
|
8. |
A
manometer is a device used to measure gauge pressure. |
Mercury
Barometer is the device used to measure atmospheric pressure. |
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(b) A vacuum gage connected to a chamber reads 25 kPa at a location where the atmospheric pressure is 97 kPa. Determine the absolute pressure in the chamber.
Solution:
Here
Vacuum Pressure = Pvac = 25 KPa
Atmospheric Pressure = Patm=
97 KPa
We know that
Absolute Pressure = Pa =
Patm - Pvac
Absolute Pressure = Pa=
97-25 = 72Pa
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Q2:
Determine the pressure exerted on a diver at
15 m below the free surface of the sea. Assume a barometric pressure of 101 kPa
and a specific gravity of 1.03 for seawater.
Solution
Atmospheric
pressure = Patm = 101 kPa
Distance
from the free surface =
h = 15 m
Specific
gravity of sea water = 1.03
Density
of sea water ρ= 1.03×1000=1030 𝒎3/kg
g=9.81
Pressure
exerted on the diver at 15 m below the free surface= 𝑷𝒂 + 𝒑𝒈𝒉
= 𝟏𝟎𝟏𝟎𝟎𝟎 + (𝟏𝟎𝟑𝟎 ∗ 𝟗. 𝟖𝟏
∗ 𝟏𝟓) = 𝟐𝟓𝟐𝟓𝟔𝟒 𝑷𝒂
Therefore,
Pressure
acting on the diver 15 m below free surface is 𝟐𝟓𝟐𝟓𝟔𝟒 𝑷a
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