An electrically heated stirred tank system of section 2.4.3 (page 23) of the Textbook is modeled by the following second order differential equation: 9 d 2T/dt 2 + 12 dT/dt + T = T;+ 0.05 Q where Ti and T are inlet and outlet temperatures of the liquid streams and Q is the heat input rate. At steady state Tiss = 100 °C, T SS = 350 °C, Q ss=5000 kcal/min (a) Obtain the transfer function T'(s)/Q'(s) for this process [Transfer_function] (b) Time constant 1 and damping coefficients in the transfer function are: (Tau], [Zeta] (c) At t= 0, if Q is suddenly changed from 5000 kcal/min to 6000 kcal/min, calculate the exit temperature T after 2 minutes. [T-2minutes] (d) Calculate the exit temperature T after 8 minutes. [T-8minutes)

The theoretical velocity of the jet as it strikes the plane below the bottom of the tank is 8.343 m/s.

Given:

h₁ = 2.7 m (head of the tank)

h₂ = 5.8 m (total depth of the tank)

h = 0.85 m (height below the bottom of the tank)

g = 9.8 m/s² (acceleration due to gravity)

To determine the theoretical velocity of the jet as it strikes the plane below the bottom of the tank, Bernoulli's equation can be used.

The equation can be written as:

\(P_1 +\frac{1}{2} \rho v_1^2 + \rho gh_1 = P_2 + \frac{1}{2} \rho v_2^2 + \rho gh_2\)

Where:

P₁ and P₂ are the pressures at points 1 and 2,

v₁ and v₂ are the velocities at points 1 and 2,

ρ is the density of the fluid,

g is the acceleration due to gravity,

h₁ and h₂ are the heights at points 1 and 2.

It can be assumed that the pressure at both points is atmospheric pressure, so P₁ = P₂.

Also, since the velocity at point 1 is negligible compared to the velocity of the jet, the term \(\frac{1}{2} \rho v_1^2\) can be ignored.

Now, let's substitute the given values into Bernoulli's equation:

\(0 + 0 + \rho gh_1 = 0 + \frac{1}{2} \rho v_2^2 + \rho gh_2\)

Simplifying the equation, we have:

\(gh_1 = \frac{1}{2} v_2^2 + gh_2\)

\(v_2^2 = 2gh_1 + 2gh_2\\v_2 = \sqrt{(2gh_1 + 2gh_2)}\)

Substituting the given values:

\(v_2 = \sqrt{(2 \times 9.8 times 2.7 + 2 times 9.8 \times0.85)}\\v_2 = \sqrt{(52.92 + 16.67)}\\v_2 = \sqrt{69.59\\v_2 = 8.343 m/s\)

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The magnitude of the acceleration of end B at the instant when F is applied is 2.4 m/s².

Given a slender bar of mass (m) and length (l) resting on a smooth horizontal surface, with a horizontal force (F) applied perpendicular to the bar at point A, we are to calculate the magnitude of the acceleration of end B at the instant when F is applied.
First, let's recall the equation for linear acceleration, which is:
a = F / m
where 'a' is acceleration, 'F' is force, and 'm' is mass.
Given the values of m = 0.5 kg and F = 1.2 N, we can calculate the linear acceleration (a) as follows:
a = F / m
a = 1.2 N / 0.5 kg
a = 2.4 m/s²
Now, we need to find the angular acceleration (α) due to the force acting at point A. We can use the following equation:
α = F * l / (m * l²)
α = 1.2 N * 0.3 m / (0.5 kg * (0.3 m)²)
α = 0.36 Nm / 0.045 kgm²
α = 8 rad/s²
Next, we will find the acceleration of point B (a_B) using the equation:
\(a_B\) = α * l
\(a_B\) = 8 rad/s² * 0.3 m
\(a_B\) = 2.4 m/s²
Thus, the magnitude of the acceleration of end B at the instant when F is applied is 2.4 m/s².

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Answer:

Problem definition

Explanation:

The engineering design is a series of step that the engineer gradually take in other to create a functioning product or process. There are many different models of the engineering design process , but they can be shrunk into four basic steps which are

The students are within the first step, and the problem here is 'an appropriate means for the students to keep their drinks cold, for 3 hours for the ball game.'

In the United States, the option that uses the most water is D. Irrigation.

Irrigation is the process of artificially applying water to agricultural land in order to promote plant growth and increase crop yield. It is a crucial aspect of modern agriculture and has been practiced for thousands of years. Irrigation systems can be simple, such as furrow irrigation where water is delivered to the crops through trenches, or more complex, such as drip irrigation where water is delivered directly to the roots of individual plants. Irrigation can be done using surface water, such as rivers and lakes, or groundwater obtained through wells. While irrigation has many benefits, including increased crop yield and improved food security, it can also have negative environmental impacts, such as soil salinization and waterlogging, if not managed properly.

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Voltage : Vin = Vin(t) = sin(ωt)

Resistance R = 100Ω

According to Ohm's law, Voltage in a circuit is directly proportional to current flowing through it.

The proportionality constant in this case is equal to resistance.

So,

V ~ R

V = IR

as it is given that,

V = sin(ωt)

The maximum value of sign function is equal to 1.

So the maximum voltage in given case = V = 1 volt

Resistance given R = 100Ω

So,

Current according to Ohm's law : I = V/R

putting all the values in equation 2,

I = 1/100 = 0.01 A

so current in this case I = 0.01 ampere

I = 10 mili ampere

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Answer:

answer letter c

Explanation:

yun anserr hhehehe

Answer:

Simple In one way. That is if he left it blank

The statement is:

Due to symmetry, the electric field of a point charge at the origin must point _radially (inwards/outwards)_ from the origin.

Due to symmetry, we assume that the electric field is homogeneous and constant in any sphere we define around the charge.

Now, the particular direction of the field will depend on the sign of the charge, but we can say that the field points radially.

Depending on the sign of the charge it will be radially outwards or radially inwards.

Then the complete statement will be:

Due to symmetry, the electric field of a point charge at the origin must point _radially (inwards/outwards)_ from the origin.

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The group of stakeholders that place constraints on project work such as requiring permits to be secured, that work is built to code, or that safety standards are met include Customers, Government Agencies. Thus, the correct options are A and D.

Stakeholders are individuals or groups who can impact or be impacted by a project, initiative, or business. Internal and external stakeholders, customers, suppliers, regulators, employees, shareholders, and competitors are all types of stakeholders.Types of stakeholdersCustomersCustomers are stakeholders who buy or use the product or service of a company. They can also provide feedback and requests for new products.Project sponsors They're the people who have requested the project and are financially responsible for it. The sponsor is the one who can stop, restart, or change the project's scope.Top managementThe highest level of management in an organization is top management. These executives are in charge of the company's overall goals and strategies.Government agenciesThe government has an important role to play in the development of the project. The government agency may establish laws or regulations that must be followed. If a company fails to follow these rules, it may face legal consequences.Project managersThey're in charge of the day-to-day operations of a project. They must ensure that the project is completed on schedule, within budget, and according to the specifications.

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Mechanical advantage is a measure of the force amplification achieved by using a simple machine, such as a wheel and axle. The faucet, which is an example of a wheel and axle, has a mechanical advantage of 10.

In this problem, we are given the radii of the faucet wheel and axle and are asked to calculate the mechanical advantage.

The mechanical advantage (MA) of a wheel and axle is calculated using the following formula:

MA = Radius of wheel / Radius of axle

In this problem, the radius of the faucet wheel is 5 cm, and the radius of the axle is 0.5 cm. We can now plug these values into the formula:

MA = 5 cm / 0.5 cm

The mechanical advantage of this simple machine (faucet as a wheel and axle) is 10. This means that the input force applied to the faucet wheel is amplified by a factor of 10 when transferred to the axle.

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Answer:

1700 kg

Explanation:

Determine the total mass of the oil, m, by multiplying the density,

p= 850 kg/m3

to the volume, V = 2m3 or m=p x v.

m=pxv.

m= p x v = 850 kg / m3 x 2

m3 = 1700 kg

Answer:

The first five terms of the given geometric sequence are

8,40,200,1000,5000

Explanation:

:)

Answer:

Both come from the sun

Both are reusable sources

and both don't cause pollution

Explanation:

Answer: true

Explanation:

Answer:

Bourdon Tube gauge

Explanation:

The most popular type of pressure gauge in several countries is the Bourdon pressure tube gauge, that is used to determine medium and high loads. Bourdon tube  will measure pressures ranging between 600 mbar - 4,000 bar. While the inner pressure is greater than the exterior pressure, the tube pushes forward, and vise versa.

Answer:

There is a huge difference between theory vs. practice. Theory assumes an outcome, while practice allows you to test the theory and see if it is accurate.

Theory and Practice Explained

Practice is the observation of disparate concepts (or a phenomenon) that needs explanation. A theory is a proposed explanation of the relationship between two or more concepts, or an explanation for how/why a phenomenon occurs.

Energy transfer is factor that affects unit operation this is because each processing of change requires energy transfer.

Unit operations involves reactions that lead to physical change or chemical transformation.

It include separating of mixtures which can be done by filtering, crystallization and polymerization.

Unit operation often results into changes that can be seen or visible changes.

Energy transfer is one the factors that affect unit operation.

Therefore, Energy transfer is factor that affects unit operation this is because each processing of change requires energy transfer.

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Answer:

10 flip -flops are required to build a binary counter circuit to count to from 0 to 1023 .

Explanation:

Answer:

what are the options available?

Answer:

\(0.015\ \text{W}\)

Explanation:

\(T_{set}\) = Set temperature = \(70^{\circ}\text{C}\)

\(T_\infty\) = Air temperature = \(50^{\circ}\text{C}\)

A = Surface area = \(30\ \text{mm}^2=30\times 10^{-6}\ \text{m}^2\)

h = Convection heat transfer coefficient = \(25\ \text{W/m}^2\text{K}\)

Heater power is given by

\(P_e=hA(T_{set}-T_\infty)\\\Rightarrow P_e=25\times 30\times 10^{-6}(70-50)\\\Rightarrow P_e=0.015\ \text{W}\)

The required heater power is \(0.015\ \text{W}\)

The volume of the unit cell of lithium is 1.821 x 10^-29 cubic meters.

Body centered cubic (BCC) is a type of crystal structure in which the unit cell consists of a cube with atoms at each of the eight corners and one atom at the center of the cube. This gives a total of two atoms per unit cell. The body-centered cubic structure is found in some metals such as iron, chromium, and tungsten, among others. It is characterized by its high density and strength, and is often used in the production of high-strength materials.

To calculate the volume of the unit cell, we need to know the crystal structure of lithium. Lithium has a body-centered cubic (BCC) crystal structure.

In a BCC structure, there are two atoms per unit cell. The volume of the unit cell can be calculated as follows:

V = (a/2)^3 * 2  where a is the edge length of the unit cell.

To convert the atomic radius (0.152 nm) to the edge length (a), we need to use the relationship:

a = 4 * r / sqrt(3)  where r is the atomic radius.

Substituting the value of r into the equation, we get:

a = 4 * 0.152 nm / sqrt(3) = 0.331 nm

Now, we can calculate the volume of the unit cell:

V = (a/2)^3 * 2  = (0.331 nm / 2)^3 * 2
V = 1.821 x 10^-29 m^3


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The value of the site is $10,472,000.

The total construction costs are:

$6,000/m2 * 10,000m2 + $400,000 = $64,000,000

The professional fees are:

$64,000,000 * 0.13 = $8,320,000

The total development costs are:

$64,000,000 + $8,320,000 = $72,320,000

The developer's return for risk and profit is:

$72,320,000 * 0.20 = $14,464,000

The total cost of the development is:

$72,320,000 + $14,464,000 = $86,784,000

The expected rent is:

$3,000/m2 * 8,000m2 * 12 months = $28,800,000

The initial yield is:

$28,800,000 * 0.07 = $2,016,000

The value of the site is:

$86,784,000 - $2,016,000 = $10,472,000

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The dominant component in this case is the differential-mode voltage which is 100 mV.

Dominant is a term used to describe a trait or characteristic that is more common or more prevalent than other traits or characteristics. In genetics, a dominant trait is one that is expressed in the offspring of a mating pair, even when only one parent carries the gene for that trait.

The total received voltage across the Line Impedance Stabilization Network (LISN) is the sum of the common-mode and differential-mode voltages. Since the common-mode and differential-mode currents are equal to 1 mA, the voltage across the LISN will be:

Common-mode voltage = 1 mA * 50 Ω = 50 mV
Differential-mode voltage = 1 mA * 100 Ω = 100 mV
Total voltage = 50 mV + 100 mV = 150 mV
The dominant component in this case is the differential-mode voltage which is 100 mV.

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An rise in temperature and internal energy often happens when a system is subjected to mechanical action.

It is impossible to directly quantify the internal energy of systems that are more complicated than a perfect gas. The system's internal energy is still inversely related to its temperature, though. Therefore, by keeping an eye on how the system's temperature varies, we can track changes in the system's internal energy. We may infer that the system's internal energy has grown whenever the system's temperature rises.

For the time being, let's assume that a thermometer set in a beaker of water on a hot plate registers 73.5°C, as indicated in the diagram below. Only the system's condition at that precise instant may be described by this measurement.

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Answer:

To meet all of the criteria raised by the question, we must first draw a wire with a diameter of 8.46 mm and then 21.5 percent CW on it.

Explanation:

The absence of the procedure turn barb on an approach chart's plan view indicates that a procedure turn is not required or authorized.

This means that the pilot is not expected to execute a procedure turn to align the aircraft with the final approach course. Instead, the pilot must use other means to align the aircraft, such as a teardrop or a hold-in-lieu-of-PT procedure. The absence of the procedure turn barb can be found on both RNAV and non-RNAV approach charts. It is important for pilots to carefully review the approach chart and understand the requirements before beginning the approach, as failure to do so can result in a violation of air traffic control instructions or lead to an unsafe situation.

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To make a webpage with certain things on it using 000webhost, you need to know a little bit about building websites with HTML. The code that can help is attached.

To make a webpage, one need to: Create an account on 000webhost. com and make a new website. After creating your account and website, go to the file manager in your 000webhost control panel.

Make a new document called index. html and open it to make changes. Add this HTML code to the index. Save the alterations and close the file.

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Answer:

nExplanation:

To determine the space between the weld segments for an intermittent fillet weld with the length and pitch dimensions of 4-10, you can follow these steps:

1. Identify the length and pitch dimensions: In this case, the length of the weld is 4 inches, and the pitch (the distance from the center of one weld segment to the center of the next) is 10 inches.

2. Calculate the space between weld segments: Since the pitch is the distance from the center of one weld to the center of the next, you need to subtract the length of the weld from the pitch to find the space between the segments.

Space between segments = Pitch - Length of the weld
Space between segments = 10 inches - 4 inches
Space between segments = 6 inches

So, an intermittent fillet weld with the length and pitch dimensions of 4-10 has a 6-inch space between the weld segments.

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