Find the value of the constant in the first equation above, and its units. If, at another spot in the flow, everything is the same except z = 0.4m and the flow velocity, find the flow velocity at that point

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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In methic
1)
value of coustent
9.81mis',Z= 0,P, =10?uPa P,=lo00 kg/m?
* +92 +! = comtat
gz
(9.81x
+ 107x10
contant
ニ
1000
+ 107
- comtant
24.5t107
-coutant
131.5 m?/s?
- coumtent
Transcribed Image Text:In methic 1) value of coustent 9.81mis',Z= 0,P, =10?uPa P,=lo00 kg/m? * +92 +! = comtat gz (9.81x + 107x10 contant ニ 1000 + 107 - comtant 24.5t107 -coutant 131.5 m?/s? - coumtent
Remember, use standard units, get standard units!
The following equation is known as Bernoulli's Equation. It relates the pressure, velocity, and
mass density of a fluid at different points in its flow.
v²
P
= constant
2
+ gz +
This equation means that, if you calculate the value at one point in the flow, it has the same
value at all other points in a connected flow. Another way to say this is
v²
v²
P
+ gz +
P
+ gz +
2
In Metric, itť's likely that nearly all of these quantities would be given to you in standard units. I
vị = 7",
т
91 = 9.81
s2
Z1 = 0,
P = 107kPa (not quite standard). Pa is standard, 1000 Pa = 1 kPa
kg
P1 = 1,000
m³
I) Find the value of the constant in the first equation above, and its units.
2) If, at another spot in the flow, everything is the same except z = 0.4m and the flow
velocity, find the flow velocity at that point
In US units, the main challenge is that most quantities would not be given in standard units. If
vị = 12 mph (not standard)
g1 = 32.2 (standard)
z, = 0 inches (not standard)
P1 = 16 psi (not standard)
|
lb
P1 = 8.354
gallon
1)
Find the value of constant in the first equation, and its units. Do N OT convert to
metric. Convert to US standard units, and do the calculation using US units. Show your
process
If, at another spot in the flow, everything is the same except the flow velocity and z =
18 inches (not standard), determine the flow velocity at that point (in whatever unit
you like). Once again, do this calculation using US units.
2)
Transcribed Image Text:Remember, use standard units, get standard units! The following equation is known as Bernoulli's Equation. It relates the pressure, velocity, and mass density of a fluid at different points in its flow. v² P = constant 2 + gz + This equation means that, if you calculate the value at one point in the flow, it has the same value at all other points in a connected flow. Another way to say this is v² v² P + gz + P + gz + 2 In Metric, itť's likely that nearly all of these quantities would be given to you in standard units. I vị = 7", т 91 = 9.81 s2 Z1 = 0, P = 107kPa (not quite standard). Pa is standard, 1000 Pa = 1 kPa kg P1 = 1,000 m³ I) Find the value of the constant in the first equation above, and its units. 2) If, at another spot in the flow, everything is the same except z = 0.4m and the flow velocity, find the flow velocity at that point In US units, the main challenge is that most quantities would not be given in standard units. If vị = 12 mph (not standard) g1 = 32.2 (standard) z, = 0 inches (not standard) P1 = 16 psi (not standard) | lb P1 = 8.354 gallon 1) Find the value of constant in the first equation, and its units. Do N OT convert to metric. Convert to US standard units, and do the calculation using US units. Show your process If, at another spot in the flow, everything is the same except the flow velocity and z = 18 inches (not standard), determine the flow velocity at that point (in whatever unit you like). Once again, do this calculation using US units. 2)
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