The assembly has the diameters and material make-up indicated. It fits securely between its fixed supports when the temperature is T1 = 70∘F.
Part A
Determine the average normal stress in the aluminum when the temperature reaches T2 = 116 ∘F.
Part B
Determine the average normal stress in the bronze when the temperature reaches T2 = 116 ∘F.
Part C
Determine the average normal stress in the stainless steel when the temperature reaches T2 = 116 ∘F.

Answers

Answer 1

The average normal stress in the aluminum when the temperature reaches T2 = 116 °F is 6,026 psi

To answer this question, we need to use the formula for thermal stress:

σ = αEΔT

Where:
σ = normal stress
α = coefficient of thermal expansion
E = Young's modulus
ΔT = change in temperature

Part A:
For the aluminum, we have:
α = 13.1 x 10^-6 in/in/°F
E = 10 x 10^6 psi
ΔT = T2 - T1 = 116 - 70 = 46 °F

Plugging these values into the formula, we get:
σ = (13.1 x 10^-6) x (10 x 10^6) x 46
σ = 6,026 psi

Therefore, the average normal stress in the aluminum when the temperature reaches T2 = 116 °F is 6,026 psi.

Part B:
For the bronze, we have:
α = 9.9 x 10^-6 in/in/°F
E = 15 x 10^6 psi
ΔT = T2 - T1 = 116 - 70 = 46 °F

Plugging these values into the formula, we get:
σ = (9.9 x 10^-6) x (15 x 10^6) x 46
σ = 6,834 psi

Therefore, the average normal stress in the bronze when the temperature reaches T2 = 116 °F is 6,834 psi.

Part C:
For the stainless steel, we have:
α = 9.5 x 10^-6 in/in/°F
E = 28 x 10^6 psi
ΔT = T2 - T1 = 116 - 70 = 46 °F

Plugging these values into the formula, we get:
σ = (9.5 x 10^-6) x (28 x 10^6) x 46
σ = 12,868 psi

Therefore, the average normal stress in the stainless steel when the temperature reaches T2 = 116 °F is 12,868 psi.

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Related Questions

A 1/20 scale model of a wing is used to determine forces on the actual airplane. the 1/20 scale refers to the:_____

a. lengths.
b. velocity.
c. forces.
d. Reynolds number.
e. all of the above.

Answers

Answer:

A Lengths

Explanation:

you make a model to show an object too large to test and too expensive to test

Answer:

a. lengths.

Explanation:

The scale can be said to be a representation of the model as regards the prototype. The prototype is the machine. Using a 1:20 scale tells us that the model is 1/20 times the magnitude of the length of this machine. So if the length of the side of the machine = 20m then we would have the length of the model as 1. (1/20x20 = 1)

Therefore the scale is the length and option a is correct

If a rubber band is stretched adiabatically, its temperature increases. (a) If the rubber band is stretched isothermally, does its entropy in- (b) If the rubber band is stretched adiabatically, does the internal crease, decrease, or stay the same? Energy increase, decrease, or stay the same?

Answers

This isn’t a hard question u have to really think tho A

c) Three AC voltages are as follows:
e1 = 80 sin ωt volts;
e2 = 60 sin (ωt + π/2) volts;
e3 = 100 sin (ωt – π/3) volts.
Find the resultant e of these three voltages and express it in the form
Em sin (ωt ± φ). [5 MARKS]
When this resultant voltage is applied to a circuit consisting of a 10-Ω resistor and a capacitance of 17.3 Ω reactance connected in series, find an expression for the instantaneous value of the current flowing, expressed in the same form. [4 MARKS]

Answers

Answer:

E = 132.69 sin(ωt -11.56)

i(t) = 6.64 sin (ωt +48.44) A

Explanation:

given data

e1 = 80 sin ωt volts                       80 < 0

e2 = 60 sin (ωt + π/2) volts          60 < 90

e3 = 100 sin (ωt – π/3) volts        100 < -60

solution

resultant will be  = e2 + e2 + e3

E =  80 < 0 + 60 < 90 + 100 < -60

\(\bar E\) = 80 + j60 + 50 - j50\(\sqrt{3}\)

\(\bar E\) = 130 + (-j26.60)

\(\bar E\) = 132.69  that is less than -11.56

so

E = 132.69 sin(ωt -11.56)

and

as we have given the impedance

z = (10-j17.3)Ω

z = 19.982 < -60

and

i(t) = \(\frac{132.69}{19.982}\) sin(ωt -11.56 + 60)  

i(t) = 6.64 sin (ωt +48.44) A

a high-pass rc filter is connected to an ac source with a peak voltage of 9.00 v . the peak capacitor voltage is 6.4 v

Answers

A high-pass R C filter is a filter that allows signals above a certain frequency, the cutoff frequency, to pass through while rejecting signals below that frequency. In this case, the filter is connected to an AC source with a peak voltage of 9.00 V and the peak capacitor voltage is 6.4 V.

The ratio of the peak capacitor voltage to the peak source voltage is known as the voltage gain of the filter.

The voltage gain is given by the equation:

Voltage Gain = Peak Capacitor Voltage/Peak Source Voltage

Voltage Gain = 6.4 V/9.00 V Voltage Gain = 0.711 or 71.1 %

The voltage gain is less than 1, which means that the output voltage is less than the input voltage.

This is because the high-pass RC filter attenuates the low-frequency signals while allowing the high-frequency signals to pass through. The output voltage of the filter is reduced, resulting in a voltage gain of less than 1.

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a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. write a function issorted() that expects a list as an argument and returns true if the list is sorted in ascending order, or returns false otherwise. (40 pts)

Answers

The program to illustrate the list is given below:

def isSorted(lyst):

 # Check for a list of length 1

 if(len(lyst)>=0 and len(lyst)<2):

   return True

 else:        

   for i in range(len(lyst)-1):

     if(lyst[i]>lyst[i+1]):

       return False

           

   # Make this statement in line with the for loop    

   return True

def main():

 lyst=[]

 print(isSorted(lyst))

 lyst=[1]

 print(isSorted(lyst))

 lyst=list(range(10))

 print(isSorted(lyst))

 lyst[9]=3

 print(isSorted(lyst))

main()

What is a program?

A program is a specific set of ordered operations that a computer can perform. The program in the modern computer described by John von Neumann in 1945 contains a one-at-a-time sequence of instructions that the computer follows.

Typically, the program is saved in a location accessible to the computer. A computer program is a set of instructions written in a programming language that a computer can execute.

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how many crankshaft is in V8 engine?​

Answers

Answer:

Explanation:

hola friend!!!!!

there is only one crankshaft in V8 engine

Hope this helps

plz mark as brainliest!!!!!!!!

In a V8 engine, there’s only one there

The power provided by a centrifugal pump is given by P = Mgh, where M is mass flow rate, g is the gravitational constant, and h is pump head. Prove that this equation is dimensionally homogenous

Answers

Since both sides of equation P = Mgh have the same dimensions, that is kg x m²/s³, then the equation is dimensionally homogeneous.

To prove that the equation P = Mgh is dimensionally homogeneous, we need to verify that both sides of the equation have the same dimensions.

Starting with the left-hand side of the equation, we have:

P = Mgh

where P is power, which has units of watts (W) in the SI system.

Moving on to the right-hand side of the equation, we have:

Mgh

where M is mass flow rate, which has units of kg/s in the SI system, g is the gravitational constant, which has units of m/s², and h is pump head, which has units of meters (m) in the SI system.

Multiplying these units together, we get:

kg/s x m/s² x m = kg x m²/s³

Therefore, the units of the right-hand side of the equation are kg x m²/s³.

Since the units of both sides of the equation are the same (i.e., watts), we can conclude that the equation P = Mgh is dimensionally homogeneous.

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To cool a given room it is necessary to supply 4ft^3/s of air through a 8-in diameter pipe. approximately how long is the entrance length of the pipe

Answers

The pipe's entrance measures 17.7 feet.

The axial distance required to arrive at a value of Nu(x) that is 1.05 times the fully defines the thermal entry length Lth.

What is  the entrance length of the pipe?Entrance length is the measurement of the length of the entry zone, which is the space immediately after the pipe entrance.The dimensionless Reynolds number, Prandtl number, and pipe diameter all affect the thermal entrance length. To determine thermal entry length, the Prandtl number modifies the hydrodynamic entrance length.When viscosity effects are entirely present and pipe entry effects are not taken into account, a pipe flow is said to be fully developed. Consider a pipe flow that is incompressible. Pressure. The length of the hydrodynamic entry LHY is defined, a little haphazardly.

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:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Ummmmmmmm that’s a hard one

mechanical combustion results from all of the following, except:

Answers

Mechanical combustion results from all of the following, except: Electrical lighting.

What is Electrical lighting?

Electric lighting has been a part of popular culture since Thomas Edison created a usable incandescent bulb in 1879. It was a major draw at the world's fairs in Chicago in 1894, Buffalo in 1901, and St. Louis in 1904, for instance.

Cities became more hospitable at night thanks to electric lighting; for instance, Broadway earned the nickname the Great White Way thanks to it. Moreover, it added brightness and life to homes.

Unsurprisingly, electric lighting was almost always referred to favorably in popular culture during the first half of the twentieth century. Take the 1931 film "City Lights" by Charlie Chaplin as an illustration. It celebrated indoor and outdoor electric lighting.

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Relay contacts that are defined as being normally open (n.o.) have contacts that are:_____.

Answers

Relay contacts that are defined as being normally open (n.o.) have contacts that are open only if  the relay coil is known to have de-energized.

What is meant by normally open contacts?

Normally open (NO) are  known to be open if there is no measure of current that is flowing through a given coil but it often close as soon as the coil is said to be energized.

Note that  Normally closed (NO) contacts are said to be closed only if the coil is said to be de-energized and open only if the coil is said to carry current or is known to have energized.

The role of relay contact is wide. The Relays are tools that are often used in the work of  switching of control circuits and it is one that  a person cannot used for power switching that has relatively bigger ampacity.

Therefore, Relay contacts that are defined as being normally open (n.o.) have contacts that are open only if  the relay coil is known to have de-energized.

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the process of breaking the wbs into smaller and smaller deliverables is called: group of answer choices functional design detailed specifications value engineering decomposition

Answers

Decomposition is the process of breaking the Work Breakdown Structure (WBS) into smaller and smaller deliverables. This process is also sometimes referred to as value engineering or detailed specifications. By decomposing the WBS into smaller pieces, it becomes easier to assign tasks, assign costs, and plan out timelines.

The decomposition process begins by taking the major deliverables of the project and breaking them down into smaller tasks. From there, each task is further broken down into even more specific tasks. This process is repeated until all tasks have been broken down into their smallest components.

The purpose of decomposition is to create a well-defined scope of the project so that it can be managed in an efficient manner. It allows managers to easily identify the resources, cost, and timeline of each task, as well as provide a way to evaluate the progress of each task. It also allows for better control of the overall project.

Decomposition is a critical part of the project management process, as it ensures the project is organized and defined. This ultimately leads to an overall better result for the customer.

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A suburban region in Panama City, FL, has been permitted to develop a shopping center. The
planned shopping center composition is described in Table 1. Assume that the overland flow distance
to the nearest stormwater drain that leads to a detention pond is 200 m.

Calculate the peak runoff rate (discharge in m3/s) from the shopping center during a 50-year storm.

answer to check your work: tc = 13 min

A suburban region in Panama City, FL, has been permitted to develop a shopping center. The planned shopping

Answers

The peak runoff rate from the shopping center during a 50-year storm is approximately 0.296 m/s.

How to calculate peak runoff rate

To calculate the peak runoff rate from the shopping center during a 50-year storm, use the Rational Method, which is given as

Q = (C * I * A) / 3600

where

Q is the peak runoff rate in m/s,

C is the runoff coefficient,

I is the rainfall intensity in mm/h, and

A is the total area of the shopping center in \(m^2.\)

Assuming a 50-year storm has a rainfall intensity of 152 mm/h based on the IDF curve example.

Using the runoff coefficients for the different surfaces in the shopping center, we can calculate the total area-weighted runoff coefficient as follows

C = [(0.95 * 71,000) + (0.85 * 17,000) + (0.65 * 22,000) + (0.90 * 5,000) + (0.70 * 25,000)] / (71,000 + 17,000 + 22,000 + 5,000 + 25,000)

C = 0.807

The total area of the shopping center is

A = 71,000 + 17,000 + 22,000 + 5,000 + 25,000 = 140,000 \(m^2\)

Now we can calculate the peak runoff rate

Q = (C * I * A) / 3600

Q = (0.807 * 152 * 140,000) / 3600

Q = 41.5 \(m^3/s\) or 41.5 / 140 = 0.296 m/s

Therefore, the peak runoff rate from the shopping center during a 50-year storm is approximately 0.296 m/s.

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in c the square root of a number N can be approximated by repeated calculation using the formula NG = 0.5(LG + N/LG) where NG stands for next guess and LG stands for last guess. Write a function that calculates the square root of a number using this method. The initial guess will be the starting value of LG. The program will com- pute a value for NG using the formula given. The difference between NG and LG is checked to see whether these two guesses are almost identical. If they are, NG is accepted as the square root; otherwise, the next guess (NG) becomes the last guess (LG) and the process is repeated (another value is computed for NG, the difference is checked, and so on). The loop should be repeated until the difference is less than 0. 005. Use an initial guess of 1. 0. Write a driver function and test your square root function for the numbers 4, 120. 5, 88, 36.01, 10,000, and 0. 25
PLEASE İN C PROGRAMMİNG

Answers

Answer:

Following are the program to the given question:

#include <stdio.h>//header file

double square_root(double N, double initialGuess)//defining a method square_root that takes two variable in parameters

{

double NG, LG = initialGuess,diff;//defining double variable

while(1)//use loop to calculate square root value

{

NG = 0.5 * (LG + N / LG);//using given formula

diff = NG - LG;//calculating difference

if(diff < 0)//use if to check difference is less than 0

diff = -diff;//decreaing difference

if(diff < 0.005)//use if that check difference is less than 0.005

break;//using break keyword  

else//defining else block

{

LG = NG;//holding value

}

}

return NG;//return value

}

int main()//defining main method

{

double ans, n,initialguess = 1.0;//defining double variable

n = 4;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 120.5;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 36.01;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

n = 0.25;//use n to hold value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

printf("\nEnter a number: ");//print message

scanf("%lf", &n);//input value

ans = square_root(n, initialguess);//calculating the square root value and print its value

printf("square_root(%lf) = %lf \n", n, ans);//print calculated value with number

}

Output:

Please find the attachment file.

Explanation:

In this code, a method "square_root" is declared that takes two variable "N, initialGuess" in its parameters, inside the method a three double variable is declared.It uses the given formula and uses the diff variable to hold its value and uses two if to check its value is less than 0 and 0.005 and return its calculated value.In the main method, three double variables are declared that use the "n" to hold value and "ans" to call the method that holds its value and print its value.
in c the square root of a number N can be approximated by repeated calculation using the formula NG =

Rate of energy loss through a 1.5 square meter window with the worst R-value (0.9) is 936.7 Btu/hour. Rate of energy loss through the best R-value (11.1) is 75.95 Btu/hour. How much do you save if all 18 windows in a house are the highest R- value, relative to the lowest R-value windows, over the course of a 4-month winter year?

Answers

The rate of energy loss through a 1.5 square meter window with the worst R-value (0.9) is 936.7 Btu/hour and the rate of energy loss through the best R-value (11.1) is 75.95 Btu/hour. In order to calculate how much can be saved by replacing all the windows with the highest R-value, relative to the lowest R-value windows, we need to consider the energy loss of all the windows.

We have 18 windows in the house, therefore the amount of energy lost with the lowest R-value windows will be:18 * 936.7 = 16,860.6 Btu/hourOn the other hand, the amount of energy lost with the highest R-value windows will be:18 * 75.95 = 1,367.1 Btu/hour The difference between the two will be the amount of energy that will be saved if we use the highest R-value windows:16,860.6 - 1,367.1 = 15,493.5 Btu/hourNow, we need to consider the duration of the winter, which is 4 months or 120 days, assuming that the house is heated for the entire duration of winter. Therefore, the total amount of energy that can be saved in 4 months or 120 days will be:15,493.5 * 120 = 1,859,220 Btu (rounded off to the nearest whole number).This means that we can save 1,859,220 Btu of energy if we replace all the windows with the highest R-value, relative to the lowest R-value windows over the course of a 4-month winter year.

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Calculate the percentage of recyclables in high socioeconomic localities.

Calculate the percentage of recyclables in high socioeconomic localities.

Answers

Answer:

The percentage of recycling in high socioeconomic localities is 11.02%.

Explanation:

Since in high socioeconomic localities, 10% of paper is recycled, 12% of plastic, 1.7% of fabrics, 1.2% of rubbers, 0.9% of metals, 3.5% of glass, 33% of food wastes, 35% soil and 1.9% miscellaneous, to determine the average recycling percentage the following calculation must be performed:

(10 + 12 + 1.7 + 1.2 + 0.9 + 3.5 + 33 + 35 + 1.9) / 9 = X

99.2 / 9 = X

11.02 = X

Therefore, the percentage of recycling in high socioeconomic localities is 11.02%.

what is the IMA of a fixed pulley ​

Answers

Answer:

Not sure

Explanation:

Looking now

In a pulley, the ideal mechanical advantage is equal to the number of rope segments pulling up on the object. ... In the single fixed pulley, only one rope segment pulls up on the load, so the ideal mechanical advantage is 1.

Hope this helps

why dose bob not let humans touch him one and only Ivan

Answers

Sorry man i don’t know sorry

Calculate the force required to produce a moment of 27Nm on a shaft, when the effective distance from the center of the shaft to the point of application of the forces is 180mm​

Answers

Answer:

  150 N

Explanation:

Moment is the product of force and distance:

  27 N·m = F·(0.180 m)

  F = 27 N·m/(0.180 m) = 150 N

The force required to produce the desired moment is 150 N.

Tammy, age 18 months, has a beach ball and a Nerf ball, and she knows what a basketball and a tennis ball are. When she encounters a golf ball for the first time, she mentally adds this new example to her "ball" scheme. Adding another example to an existing scheme is a process that Piaget called ________.

Answers

Answer:

Explanation:

The process that Piaget called "adding another example to an existing scheme" is called assimilation. Assimilation refers to the cognitive process of incorporating new information or experiences into existing mental schemas or frameworks. In this case, Tammy assimilates the new example of a golf ball into her existing "ball" scheme, expanding her understanding of what falls under the category of a ball.

What is the value of the work interaction in this process?

a. -272 kJ/kg
b. -32 kJ/kg
c. 31 kJ/kg
d. 272 kJ/kg

Answers

Answer:

The answer is "\(-121\ \frac{KJ}{Kg}\)".

Explanation:

Please find the correct question in the attachment file.

using formula:

\(\to W=-P_1V_1+P_2V_2 \\\\When \\\\\to W= \frac{P_1V_1-P_2V_2}{n-1}\ \ or \ \ \frac{RT_1 -RT_2}{n-1}\\\\\)

\(W =\frac{R(T_1 -T_2)}{n-1}\\\\\)

    \(=\frac{0.287(25 -237)}{1.5-1}\\\\=\frac{0.287(-212)}{0.5}\\\\=\frac{-60.844}{0.5}\\\\=-121.688 \frac{KJ}{Kg}\\\\=-121 \frac{KJ}{Kg}\\\\\)

Can someone please help me the answer is supposed to be A but I don’t know why

Can someone please help me the answer is supposed to be A but I dont know why

Answers

We can see here that the element in the circuit that is possibly a resistor is Element B.

What is a resistor?

A resistor actually known to be a electrical component or device that has two terminals through which current enters and leaves. A resistor is known to limit or regulate the flow of electrical current in an electronic circuit. Resistors are known to be used in order to also provide a kind of specific voltage for a device that is active like a transistor.

Resistors are used in electrical and electronics in order to control the flow of current, reduce current, divide voltages, adjust the level of signals and terminate transmission lines. It is used for other purposes in the electronics field.

We see here that element B selected above is a resistor. The arrow on the head is pointing downward which indicates that current is entering.

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How does the action of wind affect a rock’s appearance?

Answers

Answer:

Forces like wind and water break down rocks through the processes of weathering and erosion. ... Forces like wind and water move the rock pieces. They mix with matter like sand to become sediment. Weathering and erosion help shape Earth's surface.

Answer:

As an agent of erosion, the wind will quickly break the rock into different rock types.

Explanation:

how to change a fuel fiter

Answers

Remove whatever is holding the old filter in place and remove it. Put the new filter on in the same position as the old filter. Replace whatever holds the filter in place, and make sure it's secure. Replace the fuse for the fuel pump in the fuse box.

A housing area needs a channel to flow a 9.8 m³/s of rainfall. A trapezoidal channel is proposed with 3 m wide and located on the side slope of 3 (horizontal):4 (vertical). If the channel is concrete lined (n = 0.013) and bottom slope, So is 1: 2000, determine the normal depth by trial and error and graph method. [CH2-ND]​

Answers

Using a trial-and-error or diagram pattern, solve the Manning's equating for the normal wisdom (y) by:

Calculating A, P, and R for various y principles.Computing Q for each y advantage.

How to solve

To decide the normal insight of a trapezoidal channel, apply Manning's equating: Q = (1/n) * A * R^(2/3) * S^(1/2)

For a trapezoidal channel: A = (b + zy) * yP = b + 2 * y * sqrt(1 + z^2)R = A / P

Using a trial-and-error or diagram pattern, solve the Manning's equating for the normal wisdom (y) by:

Calculating A, P, and R for various y principles.Computing Q for each y advantage.

Plotting the relationship 'tween y and Q.Finding the y advantage corresponding to the likely flow rate of 9.8 m³/s.

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On a negatively grounded system, the
Jump Pack negative clamp should be
attached to the when engine starting.

Answers

Answer:

Explanation:

The positive (red) cable should be attached to the positive terminals on each battery. The negative (black) cable should have one end attached to the negative terminal of the dead battery, and one end grounded.

Start by connecting the positive (often red) clamps of the jumper cables to the positive terminals of your battery. These are often marked, but they can be hard to see. Be sure to look closely to ensure that you are connecting to the right portion of the battery.

Which of these is known as the greatest danger associated with excavations?
Select the best option.

Asphyxiation


Cave-ins


Fire


Underground utility lines

Answers

Answer:

Cave-ins

Explanation:

The term excavation means any form of cuts, depression or trench by removing the surface of the earth. This process is intended primarily for the purpose of construction and maintenance or exploration. In this process there are many hurdles that pose danger to both human life and earth. The excavation workers face the great threat because of cave-ins. The collapsing of the earth's surface and random accidents prove to be very dangerous for the workers.

A pulse-jet baghouse is desired for a finished cement plant. Calculate the number of bags required to filter 500 m3/min of air with a dust loading of 3.0 g/m3. Each bag is 3.0 m long with a 0.13 m diameter. If the average pressure drop is 1.0 kPa and the main fan is 60% efficient, calculate the fan power in kW. If the pulse air volumetric flow rate is 0.5% of the filter airflow rate and the pulse air pressure is 6.0 atm, calculate the power drawn by a 50% efficient compressor (in kW).

Answers

Answer:

1) 4.41 * 10^-4 kw

2) 2.20 * 10^-4 kw

Explanation:

Given data:

Filter = 500 m^3/min

dust velocity = 3g/m^3

bag ; length = 3 m , diameter = 0.13 m

change in pressure = 1 kPa

efficiency = 60%

1) Calculate the Fan power

First :

Calculate the total dust loading = 3 * 500 = 1500 g

To determine the Fan power we will apply the relation

\(n_{o} = \frac{\frac{p}{eg*Q*h} }{1000}\)    = \(\frac{\frac{p}{(3*10^{-3})* 981*( 500/60) *3 } }{1000}\)

fan power ( \(n_{0}\) ) = 4.41 * 10^-4 kw

2) calculate power drawn

change in P = 6 atm = 6 * 10^5 pa

efficiency compressor = 50%

hence power drawn = 4.41 * 10^-4 kw  * 50% = 2.20 * 10^-4 kw

Which sentence with an introductory phrase is punctuated correctly?

Answers

WHERE R THE SENTENCES

5. A continuous hot rolling mill has two stands. Thickness of the starting plate = 1.0 in. and width = 12.0 in. Final thickness is to be 0.5 in. Roll radius at each stand = 10 in. Rotational speed at the first stand = 20 rev/min. Equal drafts of 0.25 in. are to be taken at each stand. The plate is wide enough relative to its thickness that no increase in width occurs. Under the assumption that the forward slip is equal at each stand determine (a) speed v, at each stand and (b) forward slip s. (c) also determine the exiting speeds at each rolling stand if the entering speed at the first stand is 85 ft/min.​

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Answer:

(a) To determine the speed v at each stand, we can use the relationship between the forward slip, rotational speed, and rolling speed:

rolling speed = rotational speed × (1 - forward slip)

At the first stand, the thickness reduction is:

thickness reduction = draft / starting thickness = 0.25 / 1.0 = 0.25

The final thickness after the first stand is:

final thickness = starting thickness - thickness reduction = 1.0 - 0.25 = 0.75

The speed at the first stand is:

v1 = (π × 10^2 × 20) / (12 × 0.75) = 139.63 ft/min

At the second stand, the thickness reduction is again 0.25, and the final thickness is 0.5. The speed at the second stand is:

v2 = (π × 10^2 × 20) / (12 × 0.5) = 209.44 ft/min

(b) To determine the forward slip, we can use the formula:

forward slip = (rotational speed - rolling speed) / rotational speed

At the first stand:

forward slip1 = (20 - 139.63) / 20 = -5.98

At the second stand:

forward slip2 = (20 - 209.44) / 20 = -9.47

Note that the negative values indicate that the rolling speed is greater than the rotational speed, which is physically impossible. This suggests that the assumption of equal forward slip at each stand is not valid.

(c) The exiting speed at each rolling stand can be determined using the same formula as in part (a), but with the entering speed at the previous stand as the rolling speed:

At the first stand, entering speed = 85 ft/min:

v1 = 85 × (1 - (-5.98)) = 541.88 ft/min

At the second stand, entering speed = v1:

v2 = v1 × (1 - (-9.47)) = 922.57 ft/min

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