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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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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) = 𝟐𝟓𝟐𝟓𝟔𝟒𝑷𝒂
Therefore,
Pressure
acting on the diver 15 m below free surface is 𝟐𝟓𝟐𝟓𝟔𝟒𝑷a
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