The expression of V(m³)=e^(t(s)) to make V in in³ and t in minutes is;
V(in³) = (¹/₆₁₀₂₄)a[tex]e^{\frac{1}{60}bt(h)[/tex]
We are given that;
Volume of microbial culture is observed to increase according to the formula;
V = e^(t)
where;
t is in seconds
V is in m³
We want to now express V in in³ and t in minutes.
Now, from conversions;
1 m³ = 61024 in³
Also; 1 second = 1/60 minutes
according to formula for exponential decay, we know that;
V = ae^(bt)
Thus, we have;
61024V = ae^(¹/₆₀b(t(h))
V(in³) = (¹/₆₁₀₂₄)a[tex]e^{\frac{1}{60}bt(h)[/tex]
Read more about subject of formula at; https://brainly.com/question/790938
A pump of a water distribution system at 25°C is powered by a 15 kW electric motor whose efficiency is 90 percent. The water flow rate through the pump is 50 L/s. The diameters of the inlet and outlet pipes are both 5 cm and the elevation difference across the pump is negligible. If the absolute pressures at the inlet and outlet of the pump are measured as 100 kPa and 300 kPa, respectively, determine the friction loss in the system.
The friction loss in the system is 3.480 kilowatts.
Procedure - Friction loss through a pumpPump modelLet suppose that the pump within a distribution system is an open system at steady state, whose mass and energy balances are shown below:
Mass balance[tex]\dot m_{in}-\dot m_{out} = 0[/tex] (1)
[tex]\dot m_{in} = \frac{\dot V_{in}}{\nu_{in}}[/tex] (2)
[tex]\dot m_{out} = \frac{\dot V_{out}}{\nu_{out}}[/tex] (3)
Energy balance
[tex]\eta \cdot \dot W_{el} + \dot m_{in}\cdot (h_{in}-h_{out}) - \dot W_{f} = 0[/tex] (4)
Where:
[tex]\dot m_{in}[/tex] - Inlet mass flow, in kilograms per second.[tex]\dot m_{out}[/tex] - Outlet mass flow, in kilograms per second. [tex]\dot V_{in}[/tex] - Inlet volume flow, in cubic meters per second. [tex]\dot V_{out}[/tex] - Outlet volume flow, in cubic meters per second. [tex]\nu_{in}[/tex] - Inlet specific volume, in cubic meters per kilogram.[tex]\nu_{out}[/tex] - Outlet specific volume, in cubic meters per kilogram.[tex]\eta[/tex] - Pump efficiency, no unit.[tex]\dot W_{el}[/tex] - Electric motor power, in kilowatts.[tex]h_{in}[/tex] - Inlet specific enthalpy, in kilojoules per kilogram.[tex]h_{out}[/tex] - Outlet specific enthalpy, in kilojoules per kilogram. [tex]\dot W[/tex] - Work losses due to friction, in kilowatts. Data from steam tablesFrom steam tables we get the following water properties at inlet and outlet:
Inlet
[tex]p = 100\,kPa[/tex], [tex]T = 25\,^{\circ}C[/tex], [tex]\nu = 0.001003\,\frac{kJ}{kg}[/tex], [tex]h = 104.927\,\frac{kJ}{kg}[/tex], Subcooled liquid
Outlet
[tex]p = 300\,kPa[/tex], [tex]T = 25\,^{\circ}C[/tex], [tex]\nu = 0.001003\,\frac{kJ}{kg}[/tex], [tex]h = 105.128\,\frac{kJ}{kg}[/tex], Subcooled liquid
Calculation of the friction loss in the systemIf we know that [tex]\dot V_{in} = 0.05\,\frac{m^{3}}{s}[/tex], [tex]\nu_{in} = 0.001003\,\frac{m^{3}}{kg}[/tex], [tex]h_{in} = 104.927\,\frac{kJ}{kg}[/tex], [tex]h_{out} = 105.128\,\frac{kJ}{kg}[/tex], [tex]\eta = 0.90[/tex] and [tex]\dot W_{el} = 15\,kW[/tex], then the friction loss in the system is:
[tex]\dot W_{f} = \frac{\dot V_{in}}{\nu_{in}}\cdot (h_{in} - h_{out}) + \eta \cdot \dot W_{el}[/tex]
[tex]\dot W_{f} = \left(\frac{0.05\,\frac{m^{3}}{s} }{0.001003\,\frac{m^{3}}{kg} } \right)\cdot \left(104.927\,\frac{kJ}{kg}-105.128\,\frac{kJ}{kg}\right) + (0.90)\cdot (15\,kW)[/tex]
[tex]\dot W_{f} = 3.480\,kW[/tex]
The friction loss in the system is 3.480 kilowatts. [tex]\blacksquare[/tex]
To learn more on pumps, we kindly invite to check this verified question: https://brainly.com/question/544887
Technician A says that primary vibration is created by slight differences in the inertia of the pistons between top dead center and bottom dead center. Technician B says that secondary vibration is a strong low-frequency vibration caused by the movement of the piston traveling up and down the cylinder. Who is correct? O A. Neither Technician A nor B OB. Technician B O C. Both Technicians A and B D. Technician A
Neither technician Technician or B is correct in the statement above.
What leads to primary vibration?Vibration is a factor that is said to be caused by one or more other factors that occur together at any given time.
This can be due to actors such as imbalance, misalignment, wear and looseness and others. An imbalance occurs due to a "heavy spot" that is found inside a rotating component and it will lead to vibration when the unbalanced weight is said to rotates in circles round the machine's axis.
Learn more about primary vibration from
https://brainly.com/question/7228243
Explain why power is generated at very high voltages.
Answer:
It's because to increase efficiency.
Explanation:
As electricity is transmitted over long distances, there are inherent energy losses along the way.
(I hope this will help)
what's make oil boil?
Special impact sockets and extensions are easily
identified because they are:
(A) chrome.
(B) aluminum.
(C) flat black
Durant la sto
(D) hard rubber.
les
Answer:
C
Explanation:
they are flat black
1. Declare a variable named num with an
initial value of 0. Create a while loop that
will print "Keep going" as long as the value
of num is less than 5. Use window.alert()
for displaying the output.
2. Create a function named showProd that
returns the product of n1 and n2.
3. Using the new keyword, create an array
named info with three (3) values: your first
name, your nickname, and your last name.
The code to
Declare a variable and increment with a while loop until the variable is not less than 5Create a function that returns the product of two numbersUses the new keyword to create an arraywere written in JavaScript and are found in the attached images
Declaring a variableThe first code declares a variable called num and gives it an initial value of 0. It then enters a while loop that lauches a message box (using window.alert) to print the message "Keep going" as long as num remains less than 5.
If nothing is done within the loop to increment num towards the value 5, the loop will go on endlessly notifying the user to "Keep going".
So, an increment of 1 was added to the loop body to increment the variable num. This makes sure the loop terminates.
Creating a function that returns the product of two numbersHere, a function was created that receives two arguments (n1 and n2), then returns the product (n1 * n2)
Declaring an ArrayThis last code segment creates an array using the new keyword. The new keyword is generally used in constructing objects.
In this case the object constructed is an array having three strings;
my first namemy nickname, andmy last nameSee another solved JavaScript problem here https://brainly.com/question/23610566
The current standard for recovery only equipment is sae
Explanation:
I think is SAE standard J2810
When a tensile specimen is stretched in the plastic region to an engineering strain of 0.2, calculate the amount of cold work percent.
Answer:
0.2 x 100
Explanation:
Engineering strain is the original crossection/original crossection
cold work percentage is
original crossection/original crossection x 100
I will give Brainliest, please help. :)
Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w = 0.75f.
What does 0.75 tell us in this situation?
Answer:
The ratio of water to flour needed to make tortillas, which is 3 : 4
Explanation:
100 w = 75 f
w/f = 75/100 = 3/4
A student borrows $60,000 for business school at 6.5% stated annual interest with equal monthly payments over 10 years. Consider this as a loan with no payments or interest during school so that the problem structure is equivalent to a standard loan received one period before the first payment. How much is the monthly payment?
Answer:
$681.29
Explanation:
The amortization formula seems to apply. The monthly payment on a loan of P at rate r for t years is ...
A = P(r/10)/(1 -(1 +r/12)^(-12t))
For the given loan parameters, the monthly payment is ...
A = $60,000(0.065/12)/(1 -(1 +0.065/12)^(-12·10)) ≈ $681.29
The monthly payment is $681.29.
The product of two factors is 4,500. If one of the factors is 90, which is the other factor?
In a modern industrial plant the most likely polyphase power system in use is a/an blank system
Answer:
three-phase
Explanation:
2-phase, 3-phase, and 6-phase systems are in use. The most common of these is 3-phase.
A modern industrial plant most likely uses a 3-phase system.
__
Additional comment
Serious research began on 6-phase power transmission systems in 1973. They have been shown to increase power transfer, and to reduce corona, magnetic fields, and audio noise compared to 3-phase systems. However, they are not in widespread industrial use.
For flow of a liquid metal through a circular tube, the velocity and
temperature profiles are u(r)=2Um[1-(r/ro)2] and T(r) - Ts
= C2 [1 – (r/r0)2],respectively, where C2 is constant. What is the value of the Nusselt
number NuD at this location?
Answer:
Known: Form of the velocity and temperature profiles at a particular axial location for flow in a circular tube. Find: Nusselt number at the prescribed.
Explanation:
A 100 MHz generator with Vg= 10/00 v and internal resistance 50 ohms air line that is 3.6m and terminated in a 25+j25 ohm load
The value of Vz at point z from the generator = 17.748 ∠ -107.62° V
Given data :
Internal resistance = 50 ohms
Vg = 10 ∠ 0° v
length of air line = 3.6 m
Terminating resistance = 25 + j25 Ω
First step : Determine the Total impedance
Total Impedance ( z ) = Rin + Rline + Rl + jXl
= 50 + 50 + 25 + j25
= 125 + j25 ≈ 127.47 ∠ 11.3°
Next step : Determine the current in the circuit
current ( I ) = Vg / z
= ( 10∠0° v ) / ( 127.47 ∠ 11.3° )
= 0.0784 ∠ -11.3 amp
Final step : Determine the value of Vz at point z from the generator
Vz = ( Vg + I * Ri ) - ( RI * I + Rline * I )
= ( 10∠0° + 0.0784 ∠ -11.3 * 50 ) - ( 25 + j25 + 50 * 0.0784 ∠ -11.3 )
= -5.37 - j16.91 ≈ 17.748 ∠ -107.62° V
Hence we can conclude that the value of Vz at point z form the generator 17.748 ∠ -107.62° V
Learn more about voltage : https://brainly.com/question/11288970
Hello your question is incomplete below is the complete question
A 100 MHz generator with Vg =10< 0 degree (v) and internal resistance 50-ohm is connected to a lossless 50-ohm air line that is 3.6m long and terminated in a 25+j25 (ohm) load.
Find (a) V(z) at a location z from the generate.
9. An automobile's oxygen sensor output needs
to be checked. Technician A uses a digital
voltmeter to check this sensor's output.
Technician B uses an analog ohmmeter to
check this sensor's output. Who is right?
(A) A only.
(B) B only.
(C) Both A and B.
(D) Neither A nor B.
Answer:
the answer is Letter C
Explanation:
DON'T TRULY TRUST ME PLEASE..
Write matlab code for motion of a car first order system
Answer:
Vehicle Dynamics for use with MATLAB/Simulink (VDMS) is a lumped-parameter, 15 degrees-of-freedom vehicle simulation program that reads input files containing chassis, suspension kinematics and compliances, tire, driveline, and aerodynamic inputs.
Explanation:
hope it helps you
A stress of 2500 psi is applied to a polymer serving as a fastener in a complex assembly. At a constant strain, the stress drops to 2400 psi after 100 h. If the stress on the part must remain above 2100 psi in order for the part to function properly, determine the life of the assembly.
Which prosses uses a die and press to form parts
Answer:
stamping
Explanation:
Compare the output of full-wave rectifier with and without filter
Answer:
Full wave rectification flips the negative half cycle of the sine wave to positive so the result is two positive half cycles.
Explanation:
hope it helps a lil
determine the values of the forces acting at A and B for the forces system
Answer:
You forgot the image and or example. I mean the answer could be anything right now.
convert number 23.35 in to binary
1. What are some pendulum wave characteristics?
2. What are waves characteristics?
3. List characteristics that they both share
Answer:
Explanation:
When is the output of an OR-gate LOW?
Answer:
The OR gate is a digital logic gate that implements logical disjunction (∨) from mathematical logic – it behaves according to the truth table above. A HIGH output (1) results if one or both the inputs to the gate are HIGH (1). If neither input is high, a LOW output (0) results.
The separation and purification process is used for which of the following purposes?
Household cleaning
Developing vaccines
Identifying chromosomes
Documenting chemical reactions
The separation and purification process is used for DEVELOPING VACCINES. The development of vaccines must follow strict guidelines.
A vaccine is a biological preparation used to protect against harmful diseases (e.g., viruses) in a simple and safe manner.
Vaccine purification is a strict process consisting of clarification, concentration and chromatography in order to separate the extract that contains the active principle of the vaccine.
The techniques used for vaccine filtration include membrane filtration, depth filtration and centrifugation.
Learn more about vaccines here:
https://brainly.com/question/6683555
How many shift pulses would be required to serially shift the contents of one five-stage register to another five-stage register
Answer:
5
Explanation:
One pulse is required for each bit to be moved.
5 pulses are required.
Determine the mass density of an oil if 0.3 tonnes of the oil occupies a volume of 4m.
Answer:
Do you mean 4m^3 and 3.0 tones?
Explanation:
solution:
Mass = m = 3.0 tones
- 1 ton = 1,000 kg
= 3.0 × 1,000
= 3,000 kg
volume = v = 4m^3
Required:
Mass density of oil = p = ?
We know that;
[tex]p = \frac{mass}{volume} = \frac{m}{v} = \frac{3000}{4} = 750kg |m^{3} ans [/tex]
The answer is:
750kg / m^3
Cellular network towers are configured in such a way so that they avoid what type of problem?
Answer:
They are configured this way to avoid overlap issues.
Explanation:
A full visual analysis would require that a product be dismantled completely so that all of its components can be described.
False
O True
A double-threaded Acme stub screw of 2-in. major diameter is used in a jack having a plain thrust collar of 2.5-in. mean diameter. Coefficients of running friction are estimated as 0.10 for the collar and 0.11 for the screw.
a. Determine the pitch, lead, thread depth, mean pitch diameter, and lead angle of the screw
b. Estimate the starting torque for raising and for lowering a 5000-lb load.
c. What is the efficiency of the jack when raising the load?
d. Would the screw overhaul if a ball thrust bearing of negligible friction were used in place of the plain thrust washer?
Give the largest positive number that can be represented in 13 bits for the two cases:
a) Unsigned number, and b) Signed number
Show the binary, decimal, and hexadecimal representations of the number for each case
The largest positive number that can be represented in 13 bits for the two cases are
A) Unsigned number
The largest unsigned no can be represented with 13bits as[tex](2)^n - 1 = (2)^{13} - 1 = 8191[/tex]
In Binary - [tex](1111111111111)_2[/tex]
In decimal - [tex](8191)_{10}[/tex]
In hexadecimal - [tex](1FFF)_{16[/tex]
B) Signed number
The largest signed no can be represented with 13bit as[tex]2^n = 2^{13} = 8192[/tex]
The range is from [tex](2^n-1)[/tex]
therefore, the maximum value is [tex](4096)_{10}[/tex]
In binary - [tex](1000000000000)_2[/tex]
In hexadecimal - [tex](1000)_{16}[/tex]
For more information on Binary numbers, visit
https://brainly.com/question/21285223