Angular position diagram is the graph in which the angular position of the masses is plotted against time. Vector diagram is the representation of the magnitudes of the forces that act on an object in the form of arrows.
Shaft is rotating at a uniform speed with four masses M1, M2, M3, m4 of magnitudes 150kg, 225kg, 180kg, 195kg respectively. The masses are rotating in the same plane, and the corresponding radii of rotation are 200mm, 150mm, 250mm, 300mm.
The angles made by these masses with respect to horizontal are 0°, 45°, 120°, 255° respectively.Magnitude and position of the balance mass by drawing the Angular Position diagram:The angular positions and the distances of the four masses are calculated and shown below:Then, the magnitudes and angles of the vector forces acting on each of the masses are calculated using the following formula.
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Some wastewater has a BOD5 of 150 mg/L at 20° C. The reaction rate k at that temperature has been determined to be 0.20/day. Find BOD5 (in mg/L) at 15° C.
Answer:
The value of \(\mathbf{BOD_5 \ at \ 15^0 \ C \ is \simeq 130.14 \ mg/L}\)
Explanation:
From the given information:
To find the BOD5 (in mg/L) at 15° C; we need to know the ultimate carbonaceous BOD and the reaction rate coefficient at 15° C.
So, to start with the calculation of the ultimate carbonaceous BOD by using the formula:
\(BOD_t = L_o (1-e^{-k*t})\)
where;
\(BOD _t\) = Biochemical oxygen demand at t days
\(L_o\) = the ultimate carbonaceous
∴
\(150= L_o (1-e^{-0.20*5})\)
\(L_o =\dfrac{150}{ (1-e^{-0.20*5})}\)
\(L_o =\dfrac{150}{ (1-0.3679)}\)
\(L_o =237.30 \ mg/L\)
Thus, the ultimate carbonaceous BOD = 237.30 mg/L
For the reaction rate coefficient; we use the formula:
\(k_{\tau} = k_{20} \times \theta^{\tau - 20}\)
where;
\(k_{\tau}\) = rate of the reaction constant at various temperature (T) = 15
\(k_{20}\) = rate of the reaction constant at standard laboratory = 0.20
\(\theta\) = constant = 1.047
∴
\(k_{15} =0.20 \times \theta^{15 - 20}\)
\(k_{15} =0.20 \times 1.047^{-5}\)
\(k_{15} =0.20 \times0.7948\)
\(k_{15} = 0.1590 / day\)
Thus, at 15° C, the reaction constant (k) = 0.1590 / day
Finally, the BOD5 (in mg/L) at 15° C can be calculated by using the formula:
\(BOD_t = L_o (1 - e^{-k*t})\)
\(BOD_t = 237.30 \times (1 - e^{-0.1590*5})\)
\(BOD_t = 237.30 \times (1 -0.45158)\)
\(BOD_t = 237.30 \times (0.54842)\)
\(\mathbf{BOD_5 \simeq 130.14 \ mg/L}\)
how to answer for computer science quora how do your interests directly connect with cornell engineering? if you have an intended major, what draws you to that department at cornell engineering? if you are unsure what specific engineering field you would like to study, describe how your general interest in engineering most directly connects with cornell engineering. it may be helpful to concentrate on one or two things that you are most excited about\.\* (250 words)
Focus primarily on highly precise specifics of what Cornell offers and how it matches with your interests and values. You can regard this as a "Why us?" essay with some optional "Why major" spice.
How to write essay ?Cornell is fundamentally a research institution, and I am fundamentally a researcher. The Collective Embodied Intelligence Lab would be the ideal place for me to put what I have learned from my own work in that area to use while learning from Dr. Petersen and her ground-breaking research in termite-inspired construction robots. The lab focuses on the control of multi-agent robotic systems, especially drawing inspiration from insect swarm mechanics. Cornell is known for its research, but what truly stood out to me was its distinct dedication to project teams. I discovered I wanted to join every team after doing my homework on them. Consider Baja; the idea of creating an off-road car from scratch is comparable to FTC competitions. Even though I have a strong foundation in CAD, wiring, and chassis construction, I'm eager to tackle more complex issues with even more room for creativity.To learn more about essay refer :
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The steel shaft has a diameter of 40 mm and is fixed at its ends A and B . If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa.
Q6/
Answer:
See explanation.
Explanation:
Since no figure was given I solved a problem that was similar to the one you described that I worked in my mechanics of materials class. The method should be very similar for your figure. See attached image for my work.
If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.
What we need to perform?We need to perform a two step process to obtain the maximum shear stress on the shaft. For the solid shaft,
P=2×pi×N×T/60 or T=60×p/2×pi×N
Where P=power transmitted by the shaft=50×10³W
N=rotation speed of the shaft in rpm=730rpm
Pi=3.142
T is the twisting moment
By substituting the values for pi, N and P, we get
T=654Nm or 654×10³Nmm
Also, T=pi×rho×d³/16 or rho=16×T/pi×d³
Where rho=maximum shear stress
T = twisting moment=654×10³Nmm
d= diameter of shaft= 40mm
By substituting T, pi and d
Rho=52Mpa
b. For a hollow shaft, the value for rho is unknown
T=pi×rho(do⁴-di⁴/do)/16
Rho=T×16×do/pi×(do⁴-di⁴)
Where
T= twisting moment=654×10³Nmm gotten above
do=outside shaft diawter=40mm
di= inside shaft diameter =30mm
Pi=3.142
Substituting values for pi, do, di and T.
Rho=76Mpa
Therefore, If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.
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Wright Construction specializes in the construction of communications towers for various cell carriers. On one of the company’s recent projects, there was one fatality. Workers have reported several injuries since then. In light of this situation, the company is redoubling its efforts to prevent accidents, also known as industrial hygiene. Name three potentially fatal accidents that could occur during the construction of a communication tower and the corresponding health effects workers might experience (acute, chronic, local, or systemic). Also, identify the corresponding OSHA standard that would help the company prevent the accident from occurring, including any relevant personal protective equipment
The company should also provide other personal protective equipment like steel-toed boots and reflective vests.
Construction work is one of the most dangerous professions worldwide. Although industrial hygiene and safety regulations have improved the conditions for workers, the potential for workplace accidents continues. As a result, it is critical that all workers take all necessary safety measures to prevent incidents. Three potential fatal accidents that may occur while constructing communication towers and the corresponding health impacts workers might experience are as follows:
1. Falls from heights: Falls from heights are the leading cause of injury and death in the construction sector. If a worker falls from a communication tower, they could suffer from broken bones, head injuries, and even death. OSHA Standard 1926.501 requires employers to provide fall protection systems such as harnesses, safety nets, and guardrails to prevent falls.
2. Electrocution: Tower construction sites are dangerous places, and electrocution is one of the most significant dangers that workers face. Electrocution can cause severe burns, heart problems, or even death. OSHA Standard 1926.416 mandates that all electrical equipment is grounded to protect workers from electrocution. The company should also provide proper protective gear such as rubber gloves, face shields, and rubber-soled shoes to workers when working on electrical systems.
3. Struck-by accidents: Workers are at risk of being struck by heavy equipment and falling objects while working on a tower. This may result in severe injuries or even death. OSHA Standard 1926.703 states that employers must provide head protection such as hard hats to prevent these types of accidents. The company should also provide other personal protective equipment like steel-toed boots and reflective vests.
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(35-39) A student travels on a school bus in the middle of winter from home to school. The school bus temperature is 68.0° F. The student's skin temperature is 94.4° F. Determine the net energy transfer from the student's body during the 20.00 min ride to school due to electromagnetic radiation. Note: Skin emissivity is 0.90, and the surface area of the student is 1.50m2.
Answer:
The net energy transfer from the student's body during the 20-min ride to school is 139.164 BTU.
Explanation:
From Heat Transfer we determine that heat transfer rate due to electromagnetic radiation (\(\dot Q\)), measured in BTU per hour, is represented by this formula:
\(\dot Q = \epsilon\cdot A\cdot \sigma \cdot (T_{s}^{4}-T_{b}^{4})\) (1)
Where:
\(\epsilon\) - Emissivity, dimensionless.
\(A\) - Surface area of the student, measured in square feet.
\(\sigma\) - Stefan-Boltzmann constant, measured in BTU per hour-square feet-quartic Rankine.
\(T_{s}\) - Temperature of the student, measured in Rankine.
\(T_{b}\) - Temperature of the bus, measured in Rankine.
If we know that \(\epsilon = 0.90\), \(A = 16.188\,ft^{2}\), \(\sigma = 1.714\times 10^{-9}\,\frac{BTU}{h\cdot ft^{2}\cdot R^{4}}\), \(T_{s} = 554.07\,R\) and \(T_{b} = 527.67\,R\), then the heat transfer rate due to electromagnetic radiation is:
\(\dot Q = (0.90)\cdot (16.188\,ft^{2})\cdot \left(1.714\times 10^{-9}\,\frac{BTU}{h\cdot ft^{2}\cdot R^{4}} \right)\cdot [(554.07\,R)^{4}-(527.67\,R)^{4}]\)
\(\dot Q = 417.492\,\frac{BTU}{h}\)
Under the consideration of steady heat transfer we find that the net energy transfer from the student's body during the 20 min-ride to school is:
\(Q = \dot Q \cdot \Delta t\) (2)
Where \(\Delta t\) is the heat transfer time, measured in hours.
If we know that \(\dot Q = 417.492\,\frac{BTU}{h}\) and \(\Delta t = \frac{1}{3}\,h\), then the net energy transfer is:
\(Q = \left(417.492\,\frac{BTU}{h} \right)\cdot \left(\frac{1}{3}\,h \right)\)
\(Q = 139.164\,BTU\)
The net energy transfer from the student's body during the 20-min ride to school is 139.164 BTU.
Assuming the non-pressurized boiling point of a 50-50 mix of coolant is 6°C higher than the boiling
point of water (100°C), and every one psi increase in pressure will raise the cooling system boiling
point by 17 °C. Calculate the coding system boiling point if a 15 psi pressure cap is used. How will
the value change if a 12 psi cap is used instead. If pure water is used rather than a 50-50 mix, then
how is the boiling point changed? What about the freezing point?
Answer:
To calculate the coolant boiling point with a 15 psi pressure cap, we need to consider the base boiling point of water, the increase in boiling point due to the 50-50 mix of coolant, and the increase in boiling point per psi of pressure.
Base Boiling Point of Water: 100°C
Increase in Boiling Point due to Coolant Mix: 6°C
Increase in Boiling Point per psi: 17°C
Calculation for a 15 psi pressure cap:
Base Boiling Point + Increase due to Coolant + (Pressure Increase × Increase per psi)
= 100°C + 6°C + (15 psi × 17°C/psi)
= 100°C + 6°C + 255°C
= 361°C
Therefore, with a 15 psi pressure cap, the cooling system boiling point would be 361°C.
Now let's calculate the boiling point with a 12 psi pressure cap:
Base Boiling Point + Increase due to Coolant + (Pressure Increase × Increase per psi)
= 100°C + 6°C + (12 psi × 17°C/psi)
= 100°C + 6°C + 204°C
= 310°C
With a 12 psi pressure cap, the cooling system boiling point would be 310°C.
If pure water is used instead of a 50-50 mix of coolant, the boiling point would remain at 100°C since there would be no additional increase in boiling point due to the coolant mix.
As for the freezing point, the presence of the coolant mix or the pressure cap does not directly affect the freezing point of water. The freezing point of water is generally 0°C, regardless of the coolant mix or pressure conditions.
Explanation:
Plumbing
The should indicate the materials, fixtures, and faucets to be
used.
A. specifications
B. plumbing code
C. mechanical code
D. plumbing instructor
Answer:
B....................
a caisson is a watertight enclosure that can be pumped dry so that construction activities, such as the construction of piers can take place. _______
A caisson is a watertight enclosure that can be pumped dry so that construction activities, such as the construction of piers can take place. A caisson is a watertight structure or chamber, usually made of wood, metal, or concrete, that is sunk to the bed of a river, lake, or ocean to provide a foundation or support for a bridge, building, or other structure.
A caisson is constructed onshore and then floated to the location where it is to be sunk into the water. Once in place, water is pumped out of the caisson, and construction workers enter the dry chamber to begin work on the foundation or support structure. The use of caissons has been an important development in the construction of bridges and other structures in areas with deep water or unstable soils.
A foundation called a caisson is used in construction on soft or deep water. It involves filling a series of large, watertight cylinders with concrete and sinking them into the ground. The base serves as a solid foundation for any subsequent structures. The construction of large structures like bridges, docks, and caissons is common.
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Find the economic batch quantity from the following data;
Cost of carrying inventory=15% of value per year.
Set up cost=3000 per batch
Average yearly consumption=3000units
Cost per unit=100
Answer:
1095
Explanation:
The economic batch quantity (EBQ) is the optimal order quantity that minimizes the total cost of ordering and carrying inventory.
To find the EBQ, we can use the following formula:
EBQ = sqrt((2DS)/(H))
where
D = annual demand
S = setup cost per order
H = holding cost as a percentage of the value per unit
Here, we have:
D = 3000 units/year
S = $3000 per batch
H = 15% of $100 per unit per year = $15 per unit per year
Substituting these values in the formula:
EBQ = sqrt((230003000)/(15*100))
= sqrt(1200000)
= 1095.45
Therefore, the economic batch quantity is approximately 1095 units. This means that the company should order 1095 units at a time to minimize the total cost of ordering and carrying inventory.
question write and solve an addition equation to find x. perimeter = 132 in. an addition equation for this problem is =132. the solution is x= inches.
The number of X is 33 inches.
A perimeter became the closed path that encompasses, surrounds, or outlines each a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has numerous practical applications. The perimeter moreover says the length of the definition of a shape. To find out the edge of a rectangle or square you want to add the lengths of all four sides.
To determine the amount of X, we will use the method below:
X + X + X + X = 132 or 4x = 132.
Then we will discover the result for X with the step below:
4x = 132
Divide both side by 4
Hence
x = 132 : 4 = 33
x = 33
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which problem can occur if your system case fan blows in the wrong direction?
The system overheat if a fan blows in the wrong direction, preventing airflow through the case.
In a computer case, how can airflow be controlled?Air should follow a straight line through the case. In most cases, you want the case fans at the front of the case to draw in air and the ones at the back to blow out air. Because hot air will rise, vents at the top of your case should be used as exhaust fans.
What triggers CPU overheating?Overheating of a computer is typically brought on by multiple factors. If dust is allowed to accumulate over time, it can obstruct the fans and overheat the CPU or GPU. The fans may go into overdrive if there are too many applications running simultaneously, and if this happens too often, the fans may stop working.
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An engineer places a small sample of a material on a horizontal disk whose surface is made of another material and then rotates the disk from rest with a constant angular acceleration of 4 rad/s2. Assuming that the coefficient of static friction between the sample and disk is 0. 2, what is the angular velocity of the disk at the time instant when the sample starts slipping on the disk?.
The critical value of the angular velocity obtained just before the slipping starts is the answer to this question and it is \(\bold{\omega = \sqrt{\frac{\mu.g}{r}}}\).
Let's consider the sample to be a point object.There are 2 forces acting upon the sample when it is on the plane and rotating: the normal force from the plane and the friction force directed to the centre of the rotating axis.This friction force provides the centripetal force needed to continue the rotation on the disk keeping itself at rest on the disk relative to it.The reason for a slip is due to the lacking of this friction so that it is no longer capable of providing the required amount of centripetal force in the form of friction.The maximum friction is simply \(f_{max} = \mu_s.R\) where \(R\) is the normal force on the sample and \(\mu_s\) the coefficient of static friction. By the vertical equilibrium \(R = mg\) and that gives \(f_{max} = \mu_s. mg\)The proper condition to continue the rotation without slipping is as follows and the critical value of angular velocity can be found from it.
\(\begin{aligned}\\\\F &= ma\\\\f_{max} &\geq ma\\\\ \mu_s.mg &\geq m.r\omega^2\\\\\omega &\leq \sqrt{\frac{\mu_sg}{r}}\\\\\omega_{critical} &= \sqrt{\frac{\mu_sg}{r}}\end{aligned}\)
The critical angular velocity depends only on these parameters and for a given system it is dependent on where it is primarily placed from the centre of rotation (this question lacks this piece of data by the way).So this is the answer to this question and with the data for the constant angular acceleration, you can calculate how long it would take from the startup or how many rotations it would take until the point of slipping.For that, you can employ the formulae \(\omega = \omega_0+\alpha.\Delta t\) and \(\omega^2 = \omega^2_0+2\alpha .\Delta \theta\) respectively by putting \(\omega = \omega_{critical}\).#SPJ4
What parts of ignition system that produce the high voltage?
Modern petrol engines employ ignition coils in all ignition systems for the same fundamental purpose: to produce the high voltage necessary to ignite a spark at the spark plug.
An electric spark is used in a gasoline engine's ignition system to start the fuel-air combination, which burns in the cylinders to create the motive force.
A storage battery, an induction coil, a device to timing high-voltage discharges from the induction coil, a distributor, and a set of spark plugs are the essential parts of the ignition system. The mechanism converts the low voltage electric current from the storage battery, which is typically 12 volts, to high voltage (some 40,000 volts). The distributor sends the high-voltage pulses in succession to each spark plug in the firing order.
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Polymorphism is when ____ in a class hierarchy perform differently, depending upon which object performs the call.
a. base class constructors
b. derived class constructors
c. member functions
d. derived class destructors
e. None of these
Answer:
(c) member function
Explanation:
Polymorphism is when member functions in a class hierarchy perform differently, depending upon which object performs the call.
Polymorphism refers to the ability of different objects to respond to the same method call in different ways. In a class hierarchy, member functions (also known as methods) are defined in the base class and can be overridden or re-implemented in derived classes. When an object of a derived class is created, it can override the implementation of a method defined in the base class and provide its own version of that method.
For example, consider a class hierarchy in which the base class is "Shape" and there are derived classes called "Circle" and "Rectangle." The "Shape" class may define a method called "area()" that calculates the area of the shape. The "Circle" class may override the "area()" method and provide its own implementation that calculates the area of a circle using the radius of the circle, while the "Rectangle" class may override the "area()" method and provide its own implementation that calculates the area of a rectangle using its length and width.
When a method is called on an object of the "Circle" class, the object will use the implementation of the "area()" method provided in the "Circle" class to calculate the area. Similarly, when a method is called on an object of the "Rectangle" class, the object will use the implementation of the "area()" method provided in the "Rectangle" class to calculate the area. This is an example of polymorphism, as the same method call is being performed differently depending on the type of object that is performing the call.
In this context, the correct answer is (c) member functions.
True or false? if i were to hook up an ac voltage source to a resistor, the voltage drop across the resistor would be in phase with the current in the circuit.
Answer: True
Explanation:
What's the best way to find the load capacity of a crane? Select the best option Call the manufacturer Look at the load capacity chart in the cab Ask co-workers It's best determined by lifting a load
Answer:
Look at the load capacity chart in the cab
Explanation:
A crane can be defined as a large, tall metallic machine or equipment that is designed with a long horizontal arm (jib) used for the lifting and movement of very heavy objects through the air. They're usually designed to be operated by a human operator, who typically uses a remote controller and a beam to control the direction of movement of the crane.
Due to the fact that cranes are used for lifting and moving very heavy objects, they are powered by an internal combustion engine and electric motors.
Furthermore, all cranes have the maximum capacity of load they're able to lift at a particular point in time. In order to determine the rated or gross capacity of a crane and maintain safe operation, it is important to check its load capacity chart. The actual load a crane can lift is its net capacity and it must not be exceeded at any time, so as to avoid structural failure or overturning of the crane.
Hence, the best way to find the load capacity of a crane is to look at the load capacity chart in the cab.
The load can include rigging components, hooks, blocks, and other lifting equipment that is considered part of the load. The maximum load capacity of the crane is about 18 metric tons.
The load carried has made the crane in such as way that it can carry the load to certain levels. Hence they also provide the chart which says about the types and quantities of load.Hence the option C look at the chart is correct.
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(a) (6 points) Find the integer a in {0, 1,..., 26} such that a = -15 (mod 27). Explain. (b) (6 points) Which positive integers less than 12 are relatively prime to 12?
a. a = 12 is the solution to the given congruence relation. b. the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
(a) The main answer: The integer a that satisfies a ≡ -15 (mod 27) is 12.
To find the value of a, we need to consider the congruence relation a ≡ -15 (mod 27). This means that a and -15 have the same remainder when divided by 27.
To determine the value of a, we can add multiples of 27 to -15 until we find a number that falls within the range of {0, 1,..., 26}. By adding 27 to -15, we get 12. Therefore, a = 12 is the solution to the given congruence relation.
(b) The main answer: The positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
Supporting explanation: Two integers are relatively prime if their greatest common divisor (GCD) is 1. In this case, we are looking for positive integers that have no common factors with 12 other than 1.
To determine which numbers satisfy this condition, we can examine each positive integer less than 12 and calculate its GCD with 12.
For 1, the GCD(1, 12) = 1, which means it is relatively prime to 12.
For 2, the GCD(2, 12) = 2, so it is not relatively prime to 12.
For 3, the GCD(3, 12) = 3, so it is not relatively prime to 12.
For 4, the GCD(4, 12) = 4, so it is not relatively prime to 12.
For 5, the GCD(5, 12) = 1, which means it is relatively prime to 12.
For 6, the GCD(6, 12) = 6, so it is not relatively prime to 12.
For 7, the GCD(7, 12) = 1, which means it is relatively prime to 12.
For 8, the GCD(8, 12) = 4, so it is not relatively prime to 12.
For 9, the GCD(9, 12) = 3, so it is not relatively prime to 12.
For 10, the GCD(10, 12) = 2, so it is not relatively prime to 12.
For 11, the GCD(11, 12) = 1, which means it is relatively prime to 12.
Therefore, the positive integers less than 12 that are relatively prime to 12 are 1, 5, 7, and 11.
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You installed a new 40 gallon water heater with a 54,000 BTUh burner. The underground water temperature coming into the house is 55F
How long will it take to heat the water in the tank to a normal setting of 120F.
Please show setup and explanation.
Answer:
For most uses you'll want your water heated to 120 F(49 C) In this example you'd need a demand water heater that produces a temperature rise and it will take about 2 hours
Which statement describes the relay between minerals and rocks ?
Answer:
•○●□■hey hi!■□●○•Explanation:
Minerals and rocks are the same. Aggregates of minerals form rocks. Minerals determine the texture of a rock. Most rocks are made of a single mineral type.
☆♡hope this helps♡☆why is it necessary to apply a low voltage to the prumaet winding instead of the rated voltage when evaluating the current ratio of a tansformer
Applying rated voltage to the primary winding during current ratio testing might produce excessive current flow, overheating, and damage to the transformer. In order to assure precise and safe testing.
Why is the primary winding required to receive a low voltage?The winding might carry so much current that it would overheat and be damaged if you applied direct current at rated voltage (the rating would be for rms AC voltage).
What justifies using a high voltage on the primary side during a no load test?Because the wattmeter is attached to the primary side, this guarantees that the low range of metres can be utilised for this test (High voltage side). Because of this, the primary side is typically selected.
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When exchanging information with anyone involved in the collision, you should _____.
Try to be as relax as possible.
Provide names of all parties involved.
Provide vehicle information and identification details.
Provide full names, address, registration numbers and insurance company details.
Explanation:
After a collision one may be confused, afraid and have no attention about the details that what happened because all the collision event happens in a short interval of time. So the first thing one should do during information exchange is to sit back and relax and be calm so that one can remind the things at some extent. After that provide all the details about injured people and the involved vehicles.
.Major Internet applications such as the World Wide Web and file transfer rely on which protocol?
UPN
TCP
UDP
TPP
Major internet applications such as the World Wide Web and file transfer rely on the Transmission Control Protocol (TCP) protocol.
The Transmission Control Protocol (TCP) is one of the core protocols of the Internet Protocol (IP) suite. TCP is a connection-oriented protocol that provides reliable and ordered delivery of data between applications running on different hosts. It is widely used by major internet applications such as the World Wide Web, email, file transfer, and streaming media.
TCP works by dividing data into packets and sending them between hosts using IP. The protocol ensures that all packets are received in the correct order and that any missing or corrupted packets are retransmitted. TCP also manages flow control to ensure that data is sent at an appropriate rate and that network resources are used efficiently.
The reliability and robustness of TCP have made it the protocol of choice for many internet applications, particularly those that require the transfer of large amounts of data. However, its connection-oriented nature and the overhead involved in managing connections make it less suitable for applications that require low latency or real-time communication, such as online gaming or VoIP (voice over internet protocol).
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Determine the critical load if the bottom is fixed and the top is pinned. ewew = 1. 6 ×(10)3ksi×(10)3ksi ,σyσy = 5 ksiksi
Critical load Fcr or buckling load is the value of load that causes the phenomenon of change from stable to unstable equilibrium state.
With that beign said, first it is neessary to calculate the moment of inercia about the x-axis:
\(Ix= \frac{db^3}{12}\\ Ix = \frac{2.(4)^3}{12} = 10.667in\)
Then it is necessary to calculate the moment of inercia about the y-axis:
\(Iy = \frac{db^3}{12}\\ Iy = \frac{4.(2)^3}{12} = 2.662in\)
Comparing both moments of inercia it is possible to assume that the minimun moment of inercia is the y-axis, so the minimun moment of inercia is 2662in.
And so, it is possible to calculate the critical load:
\(Pc\gamma = \frac{2046\pi ^2E.I}{L^2} \\Pc\gamma= \frac{2046.\pi ^2.(1,6.10^3.10^3).2662}{(10.12)^2} \\Pc\gamma= 5983,9db\)
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my mother lives just the corner from me
My mother lives.
From the point of view of the sentence, the mother is living far away from the point of her child. She is living not very far but from the point of view of the streets. She is living in her old apartment that is at the end of the road.
Hence says lives just the corner from me.
The statement describes the relations with the mother and child where the child expresses he feeling towards the mother that is used to living in her house that is just comer from her.Hence making the statement dramatic.Learn more about just the corner from me.
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. In the counter-current heat exchanger, the liquid food is cooled from 73°C to 38°C at the rate of 2500 kg h', using water at 15°C which leaves the heat exchanger at 40°C. The pipework 2.5cm in diameter is constructed from stainless steel 3mm thick; the surface film heat transfer coefficients are 1200 Wm³K on the liquid food side and 3000Wm³K-¹ on the water side of the pipe. Calculate the Overall heat transfer coefficient and the length of pipe required (Note: specific heat of water and liquid food is 4.18 kj/kg°C and 3.17 kj/kg C respectively) (6marks).
The Overall heat transfer coefficient and the length of pipe required was 9.48x10 J and the length of pipe required is 57m.
What is the supposed via way of means of heat transfer?Warmness transfer, all or any of numerous forms of phenomena, taken into consideration as mechanisms, that deliver power and entropy from one place to another. The unique mechanisms are commonly known as convection, thermal radiation, and conduction.
1/U= 1/ha+x/k+1/hk=1/1200+3/21+1/3000= 1.31 x 10^-3.Now U= 763.6 Wm^-2-C-1.To length of pipe required= Q = UAdelta m.= A=3.142xDl= l =4.48/3.142x0.025=57 m.Read more about the length :
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The A-36 steel pipe has a 6061-T6 aluminum core. It issubjected to a tensile force of 200 kN. Determine the averagenormal stress in the aluminum and the steel due to thisloading. The pipe has an outer diameter of 78 mm and aninner diameter of 36mm.
Force applies normal (perpendicular) to an object's surface in steel (48.79 kPa) and aluminum (0.1625 kPa), exerting a normal stress.
What does "normal stress" mean?
Stress, as its name indicates, is described as When the direction of the deforming force is parallel to the body's cross-sectional area, there is normal stress. If the wire's length or the body's volume changes, the stress level will remain normal.
What are typical strain and stress?
The Greek symbol epsilon designates normal strain, which happens when an item stretches in response to a normal tension (i.e., one that is perpendicular to a surface). Positive values represent tensile strains, whereas negative values represent compressive strains.
Briefing:
The steel pipe will have a section of:
A1 = π/4 * (D^2 - d^2)
A1 = π/4 * (0.78^2 - 0.36^2) = 0.3760 m^2
The aluminum core:
A2 = π/4 * d^2
A2 = π/4 * 0.36^2 = 0.1017 m^2
The parts will have a certain stiffness:
k = E * A/l
We don't know their length, so we can consider this as stiffness per unit of length
k = E * A
For the steel pipe:
E = 210 GPa (for steel)
k1 = 210*10^9 * 0.3760 = 7.89*10^10 N
For the aluminum:
E = 70 GPa
k2 = 70*10^9 * 0.1017 = 0.711*10^10 N
Hooke's law,
Δd = f / k
Since we are using stiffness per unit of length we use stretching per unit of length,
ε = f / k
When the force is distributed between both materials will stretch the same length,
f = f1 + f2
f1 / k1 = f2/ k2
Replacing:
f1 = f - f2
(f - f2) / k1 = f2 / k2
f/k1 - f2/k1 = f2/k2
f/k1 = f2 * (1/k2 + 1/k1)
f2 = (f/k1) / (1/k2 + 1/k1)
f2 = (200000/7.89*10^10) / (1/0.711*10^10 + 1/7.89*10^10) = 16532.96 N = 16.532 KN
f1 = 200 - 16.53 = 183.47 kN
Then we calculate the stresses:
σ1 = f1/A1 = 18347 / 0.3760 = 48795.21 Pa = 48.795 kPa
σ2 = f2/A2 = 16.532 / 0.1017 = 162.556 Pa = 0.16255 kPa
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