A cylindrical specimen of some metal alloy having an elastic modulus of 108 GPa and an original cross-sectional diameter of 3.7 mm will experience only elastic deformation when a tensile load of 1890 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.45 mm.

Answers

Answer 1

Answer:

L= 276.4 mm

Explanation:

Given that

E= 180 GPa

d= 3.7 mm

F= 1890 N

ΔL= 0.45 mm

We know that ,elongation due to load F in a cylindrical bar is given as follows

[tex]\Delta L =\dfrac{FL}{AE}[/tex]

[tex]L=\dfrac{\Delta L\times AE}{F}[/tex]

Now by putting the values in the above equation we get

[tex]L=\dfrac{0.45\times 10^{-3}\times \dfrac{\pi}{4}\times (3.7\times 10^{-3})^2\times 108\times 10^9}{1890}\ m[/tex]

L=0.2764 m

L= 276.4 mm

Therefore the length of the specimen will be 276.4 mm


Related Questions

An athlete is working out in the weight room. He steadily holds 50 kilograms above his head for 10 seconds. Which statement is true about this situation?

Answers

Answer:

Answer: the true statement form the given statements is “the athletes is not doing any work because he does not move weight”

Explanation:

The athlete isn’t doing any work because he doesn’t move the weight is the correct statement.

What is Work? Work is the energy transferred to or from an object via the application of force along a displacement.Work = Force x Displacement.

How to solve this Problem?The weight of an object given is 50kgsThe time of holding an object given is 10 secondsWe need to justify the statements

Here ,

There is no displacement that means displacement is zero.If displacement is zero then work done will also be zero

Hence there is no work done by the athlete

Therefore ,The athlete isn’t doing any work because he doesn’t move the weight is the correct statement

Learn more about Work done here

https://brainly.com/question/25573309

#SPJ2

The main component of all computer memory is

Answers

Hi!

The main component of all computer memory is RAM.

Hope this helps !

Answer: R.A.M

Explanation:

The instantaneous speed of a particle moving along one straight line is v(t) = ate−6t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.)

Answers

Answer:

v_max = (1/6)e^-1 a

Explanation:

You have the following equation for the instantaneous speed of a particle:

[tex]v(t)=ate^{-6t}[/tex]   (1)

To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:

[tex]\frac{dv(t)}{dt}=\frac{d}{dt}[ate^{-6t}]=a[(1)e^{-6t}+t(e^{-6t}(-6))][/tex]  (2)

where you have use the derivative of a product.

Next, you equal the expression (2) to zero in order to calculate t:

[tex]a[(1)e^{-6t}-6te^{-6t}]=0\\\\1-6t=0\\\\t=\frac{1}{6}[/tex]

For t = 1/6 you obtain the maximum speed.

Then, you replace that value of t in the expression (1):

[tex]v_{max}=a(\frac{1}{6})e^{-6(\frac{1}{6})}=\frac{e^{-1}}{6}a[/tex]

hence, the maximum speed is v_max = ((1/6)e^-1)a

To understand thermal linear expansion in solid materials. Most materials expand when their temperatures increase. Such thermal expansion, which is explained by the increase in the average distance between the constituent molecules, plays an important role in engineering. In fact, as the temperature increases or decreases, the changes in the dimensions of various parts of bridges, machines, etc., may be significant enough to cause trouble if not taken into account. That is why power lines are always sagging and parts of metal bridges fit loosely together, allowing for some movement. It turns out that for relatively small changes in temperature, the linear dimensions change in direct proportion to the temperature.
For instance, if a rod has length L0 at a certain temperature T0 and length L at a higher temperature T, then the change in length of the rod is proportional to the change in temperature and to the initial length of the rod: L - L0 = αL0(T - T0),
or
ΔL = αL0ΔT.
Here, α is a constant called the coefficient of linear expansion; its value depends on the material. A large value of α means that the material expands substantially as the temperature increases; smaller values of α indicate that the material tends to retain its dimensions. For instance, quartz does not expand much; aluminum expands a lot. The value of α for aluminum is about 60 times that of quartz!
Questions:
A) Compared to its length in the spring, by what amount ΔLwinter does the length of the bridge decrease during the Teharian winter when the temperature hovers around -150°C?
B) Compared to its length in the spring, by what amount ΔLsummer does the length of the bridge increase during the Teharian summer when the temperature hovers around 700°C?

Answers

Answer:

Check the explanation

Explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 210 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 191 degrees in a room at 64 degrees, determine when the coffee reaches a temperature of 156 degrees.

Answers

Answer:

Explanation:

The problem is based on Newton's law of cooling .

According to Newton's law

dQ / dt = k ( T - T₀ ) ,

dT / dt = k' ( T - T₀ )          ; dT / dt is rate of fall of temperature.

T is average  temperature of hot body , T₀ is temperature of surrounding .

In the first case rate of fall of temperature = (210 - 191) / 2.5

= 7.6 degree / s

average temperature T = (210 + 191) /2

= 200.5  

Putting in the equation

7.6 = k' ( 200.5  - 64 )

k' = 7.6 / 136.5

= .055677

In the second case :---

In the second case, rate of fall of temperature = (191 - 156) / t  

= 35 / t   , t is time required.

average temperature T = (156 + 191) /2

= 173.5  

Putting in the equation

35 / t = .05567 ( 173.5 - 64 )

t = 5.74 minute .

PIUDICITIS CONSECulvely and Circle your aliswers. Lilyo
proper significant digits.
53. When you turn on your CD player, the turntable accelerates from zero to 41.8 rad/s in
3.0 s. What is the angular acceleration?
or​

Answers

Answer:

The angular acceleration of CD player is [tex]13.93\ rad/s^2[/tex].

Explanation:

Initial angular speed of a CD player is 0 and final angular speed is 41.8 rad/s. Time to change the angular speed is 3 s.

It is required to find the angular acceleration. The change in angular speed of the CD player divided by time taken is called its angular acceleration. It can be given by :

[tex]a=\dfrac{\omega_f-\omega_i}{t}\\\\a=\dfrac{41.8-0}{3}\\\\a=13.94\ rad/s^2[/tex]

So, the angular acceleration of CD player is [tex]13.93\ rad/s^2[/tex].

A steam engine takes in superheated steam at 270 °C and discharges condensed steam from its cylinder at 50 °C. The engine has an efficiency of 30%, and taken in 50 kJ from the hot steam per cycle. If a Carnot engine takes in the same amount of heat per cycle and operates at these temperatures, the work it can turn into is most likely to be:a) 15 kJ. b) 20 kJ. c) 10 kJ. d) 50 kJ.

Answers

Answer:

b) 20 kJ

Explanation:

Efficiency of carnot engine = (T₁ - T₂ ) / T₁  Where T₁ is temperature of hot source  and T₂ is temperature of sink .

T₁ = 270 + 273 = 543K

T₂ = 50 + 273 = 323 K

Putting the given values of temperatures

efficiency = (543 - 323) / 543

= .405

heat input = 50 KJ

efficiency = output work / input heat energy

.405 = output work / 50

output work = 20.25 KJ.

= 20 KJ .

A Texas cockroach of mass 0.157 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 14.9 cm, rotational inertia 5.92 x 10-3 kg·m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.92 m/s, and the lazy Susan turns clockwise with angular velocity ω0 = 3.89 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved as it stops?

Answers

Answer:

-7.23 rad/s

Explanation:

Given that

Mass of the cockroach, m = 0.157 kg

Radius of the disk, r = 14.9 cm = 0.149 m

Rotational Inertia, I = 5.92*10^-3 kgm²

Speed of the cockroach, v = 2.92 m/s

Angular velocity of the rim, w = 3.89 rad/s

The initial angular momentum of rim is

Iw = 5.92*10^-3 * 3.89

Iw = 2.3*10^-2 kgm²/s

The initial angular momentum of cockroach about the axle of the disk is

L = -mvr

L = -0.157 * 2.92 * 0.149

L = -0.068 kgm²/s

This means that we can get the initial angular momentum of the system by summing both together

2.3*10^-2 + -0.068

L' = -0.045 kgm²/s

After the cockroach stops, the total inertia of the spinning disk is

I(f) = I + mr²

I(f) = 5.92*10^-3 + 0.157 * 0.149²

I(f) = 5.92*10^-3 + 3.49*10^-3

I(f) = 9.41*10^-3 kgm²

Final angular momentum of the disk is

L'' = I(f).w(f)

L''= 9.41*10^-3w(f)

Using the conservation of total angular momentum, we have

-0.068 = 9.41*10^-3w(f) + 0

w(f) = -0.068 / 9.41*10^-3

w(f) = -7.23 rad/s

Therefore, the speed of the lazy Susan after the cockroach stops is -7.23 and is directed in the opposite direction of the initial lazy Susan angular speed

b)

The mechanical energy of the cockroach is not converted as it stops

I need some help!!!!!!!!!

Answers

Answer:

The Object will immediately begin moving toward the left

Explanation:

Because the force of thirteen is greater than ten and applied to the opposite side

Other Questions
Read the following excerpt from the article "Vision, Voice and the Power of Creation: An Author Speaks Out," by T. A. Barron and answer the question that follows:Right now, I am spending a lot of time listening to the voice of a particularly compelling character: the young Merlin. In the end, I finally heard the voice of Merlin thanks to a surprising source: the haunting, mysterious hooting of a great horned owl outside the window of my Colorado home. As I listened to that owl's resonant [echoing] call in the pre-dawn hours one morning, something about it gave me a whole new cadence [rhythm], a whole new sound. And then, a whole new voice.The author states, "I finally heard the voice of Merlin thanks to a surprising source: the haunting, mysterious hooting of a great horned owl outside the window of my Colorado home." What is the author's implicit message in this statement?(10 points)Group of answer choicesThe author realized Merlin's voice should have the same qualities as the owl's voice.The author thought Merlin's voice should seem like it is hooting.The author wished he had thought of Merlin's voice sooner.The author knew the owl would bring Merlin's voice to life. Plz help! Will give brainiest!For the girl to lift this rock, she must push her end down _____ to raise the rock _____.A.a lot; a littleB.a little; a lotC.a little; a little tan(-20) = _____. -tan 20 tan 20 tan (-160) -tan 160 what was the international and alliance response to decolonization and spread of the cold war conflicts Select the correct answer.My mom is always repeating the same old joke: if your friends all jumped off a cliff, would you jump, too? Of course not. But I get what she means. She's talking about peer pressure. Teenagers like us live with it every day. Pretty much every kid wants to be liked, to have friends, to be popular. No one wants people to think they aren't cool. While peer pressure is tough, giving in to it and getting in trouble is tougher.But teenagers are still learning to make good decisions. Like this one time my friend Harold wanted to take his dad's prized Jeep Grand Cherokee for a drive. Harold was 13, and he'd never driven a car before. But he figured he knew enough about operating a motor vehicle just by watching his parents drive. When his parents were out of town one weekend, Harold invited me and some of our friends over to his house so he could take us for a drive. I said, "Not me," because I knew it was a stupid thing to do. I told him and everybody else what I thought of the idea. (Driving isn't easy. It took my big brother weeks to get the hang of it.) Harold got mad and told me I was being a chicken. I said, "I'd rather be a chicken than get in an accident and have a broken leg."What is the thesis statement of this passage? Solve: 5/9 + (-4/5) 1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengocuanto NO gaste? 2). Si al ao que cumpli 10 aos le sumamos el ao que cumpli 20 , y a este resultado le restas la suma del ao en que naci con mi edad actual , obtendremos el ao actual cuanto resultara sumar mi edad con el ao en que cumplire los 30 aos y restarle el ao en que cumplire los 40 aos? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR Which literary essay element helps a writer explain how a quotation supports the thesis? Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number. A child is laying on the ground relaxing and looking up at a plane that is passing by. If the planes altitude is 33,500 feet and the childs eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the childs line of sight to the plane? mark has a friend named Chole how different are marks and chole DNA ? 5. The bedbugs in Paul Bunyan's camp were a thousand times more unpleasant than regularbedbugs. Lumberjacks are tough. The bed bugs that fed on lumberjacks became the toughestbed bugs in the world. These bugs would swallow a whole bed, pillow and all, more easily thanyou or I would eat a sandwich. Paul thought that the best thing to do with the bugs was to trainthem to haul logs. Each bed bug was more vicious than a runaway buzzsaw. Taming them wasimpossible. Paul Bunyan isn't one to admit defeat. He decided to try the bed bugs on a new diet.Instead of lumberjack blood, Paul fed them wildcat teeth and dynamite. The bed bugs shrankuntil each wasn't any bigger than a medium-sized moose. When Paul saw how tiny the bogshad gotten, he stamped his foot in glee and accidentally squashed them all. Each gene in a cell's DNA codes for a specific protein. True of False Hi guys! Here's my question: What is the meaning of embarassing? There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap! 12 divided by 9 tenths and hundredths A fair die is thrown. What is the probability that the score is not a factor of 6?00005/61/62/31/2 Sulfuric acid (H2SO4) has a molar mass of 98.1 g/mol. How many oxygen atoms are found in 75.0 g of H2SO4? A. 1.15 10^23 B. 1.84 10^24 C. 4.61 10^23 D. 7.87 10^23 The vertices of DEF have coordinates D(1, 2), E(3, 3), and F (2, 4).What are the coordinates of the vertices of r(90, O)(DEF)? What is the correct answer to this question? Everyone looked to see whatwas causing theSoloct one:a. commotionb. crisisc.roactiond. faint