A cylindrical rod of copper (E = 110 GPa) having a yield strength of 240 MPa is to be subjected
to a load of 6660 N. If the length of the rod is 380 mm, what must be the diameter to allow an
elongation of 0.50 mm?

Answers

Answer 1

Answer:

required diameter is 7.65 mm

Explanation:

Given the data in the question;

F = 6660 N

l₀ = 380 mm = 0.38 m

E = 110 GPa = 110 × 10⁹ N/m²

Δl = 0.50 mm = 0.0005 m

So, lets assume the deformation is elastic;

d₀ = √(  [4l₀F] / [πEΔl] )

we substitute

d₀ = √(  [4 × 0.38 × 6660] / [π × (110 × 10⁹) × 0.0005]] )

d₀ = √( 10123.2 / 172787595.947 )

d₀ = √( 5.85875 × 10⁻⁵ )

d₀ = 0.007654 m

d₀ = ( 0.007654 × 1000 )mm

d₀ = 7.65 mm

Therefore, required diameter is 7.65 mm


Related Questions

1. Arrange the following groups in order of decreasing priority that would allow you to determine E/Z, or R/S. Provide a string of letters (e.g. abcd) as an answer with the highest priority listed first, lowest priority last:a) -CH3
b) -CH2OH
c) -CH2NH2
d) -CH2BR2. Arrange the following groups in order of decreasing priority that would allow you to determine E/Z, or R/S. Provide a string of letters (e.g. abcd) as an answer with the highest priority listed first, lowest priority last:a) -F
b) -CH2OH
c) -CHO
d) -CH3

Answers

Answer:

1. CH₂Br > CH₂OH > CH₂NH₂ > CH₃

2. -F > -CHO > - CH₂OH > CH₃

Explanation:

The arrangement of the above atom is due to their atomicity and electronegativity of the given compounds.

From (1) we will realize that Bromine (Br) possesses the greatest priority because its atomic number is the highest. This is followed by oxygen (O) in CH₂OH since atomic no 8 is higher than that of Nitrogen N(7). Lastly, CH₃ has the only hydrogen attached to it with the atomic no of (1)

In the second part of the question>

The electronegativity of an element increases across the period and down the group. Fluorine is highly electronegative and contains the highest atomic number of oxygen in -CHO. The oxygen (O) in -CHO has a double bond which gives an edge over the (O) in CH₂OH. Lastly, CH₃ contains a substituted hydrogen atom

Determine the number of molecules of C2CI4 contained in 73.1g of C2CI4

Answers

Answer:

2.35x10²³ molecules of C2Cl4 are present

Explanation:

To solve this question we must convert, as first, the mass of C2Cl4 to moles using its molar mass (C2Cl4 = 165.83g/mol). Then, using Avogadro's number we can find the number of molecules:

Moles C2Cl4:

73.1g * (1mol / 165.83g) = 0.441 moles C2Cl4

Molecules:

0.441 moles C2Cl4 * (6.022x10²³molecules / 1mol) =

2.35x10²³ molecules of C2Cl4 are present

Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 5.0L flask with 4.5 atm of ammonia gas, and when the mixture has come to equilibrium measures the amount of nitrogen gas to be 1.1 atm. Calculate the pressure equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits.

Answers

Answer:

Kp = 7.4727

Explanation:

Let's write the balanced equilibrium reaction:

2NH₃ <-------> N₂ + 3H₂     Kp = ??

Now, if we want to calculate the Kp, we need to write an ICE chart with this reaction, which is the following:

         2NH₃ <-------> N₂ + 3H₂  

I.         4,5                 0        0

C.       -2x                +x     +3x

E.        4,5-2x            x       3x

According to this chart, the Kp expression should be:

Kp = (PH₂)³ * (PN₂) / (PNH₃)²   (1)

The value of x, we already know it because the problem states that the amount of nitrogen gas is 1.1 atm, so replacing this value into (1) we have:

Kp = (3*1.1)³ * (1.1) / (4.5 - (2 * 1.1))²

Kp = 39.5307 / 5.29

Kp = 7.4727

Hope this helps

What volume of O2 is required to react with CS2 to produce 4 liters of CO2?

Answers

Answer:

12 L of O₂

Explanation:

We'll begin by writing the balanced equation for the reaction. This is illustrated below:

CS₂ + 3O₂ —> CO₂ + 2SO₂

From the balanced equation above,

3 L of O₂ reacted to produce 1 L of CO₂.

Finally, we shall determine the volume of O₂ required to produce 4 L of CO₂. This can be obtained as follow:

From the balanced equation above,

3 L of O₂ reacted to produce 1 L of CO₂.

Therefore, xL of O₂ will react to produce 4 L of CO₂ i.e

xL of O₂ = 3 × 4

xL of O₂ = 12 L

Thus, 12 L of O₂ is needed for the reaction.

2C4H10(g) + 1302(g) → 8CO2(g) + 10 H2O(g)
3. How many moles of water is produced from 0.859 moles of C4H10?

Answers

Answer:

Explanation:...

PLEASE HURRY I WILL GIVE BRAINYEST
Where are the majority of temperate grasslands located?
A interiors of continents
B along the coastline
C in desert regions
D between mountain ranges

Answers

Answer:

D. Between mountain ranges

Explanation:

Usually in between mountains is where the most grass is.

Answer:

in the interior of continents

Explanation:

Which of the following masses represent 0.500 mol of the
indicated substance?

Answers

Answer: 103.6 g

Explanation:

On CK-12

How many L of 3.0M solution
can be made with 78g of
NaCl?

Answers

Answer:

Need to find moles NaCl.

526 grams NaCl (1 mole NaCl/58.44 grams)

= 9.0 moles NaCl

----------------------------------------------------

now,

Molarity = moles of solute/Liters of solution

or, for our purposes

Liters of solution = moles of solute/Molarity

Liters of solution = 9.0 moles NaCl/3.0 M

= 3.0 liters in volume

how many moles of solute are needed to make 250 mL of a 0.50 M solution of sodium phosphate

Answers

Answer:

0.125 moles of solute

Explanation:

The formula for molarity (M) is moles of solute/liters of solution. First, convert 250 mL into liters:

250 mL/1 * 1 L/1000 mL = 0.25 L.

Then, plug in the values of m/L = M

m/0.25 = 0.5

Solve for moles (m). You would multiply 0.5 by 0.25.

m = 0.125

Lastly, if you'd like to check it and see if it's correct, do 0.125/0.25, and you should get 0.5 M.

Answer:

[tex]\boxed {\boxed {\sf 0.125 \ mol }}[/tex]

Explanation:

Molarity is a measure of concentration. It is the moles of solute per liters of solution.

[tex]molarity = \frac{ moles \ of \ solute}{ liters \ of \ solution}[/tex]

We know the solution has a molarity of 0.5 M or moles per liter. There are 250 milliliters of solution. First, we need to convert to liters. 1 liter is equal to 1000 milliliters.

[tex]\frac {1 \ L}{ 1000 \ mL}[/tex][tex]250 \ mL *\frac {1 \ L}{ 1000 \ mL}[/tex][tex]\frac {250 }{ 1000 } \ L = 0.25 \ L[/tex]

Now we can substitute the values we know into the formula.

molarity= 0.5 mol/L liters of solution = 0.25 Lmoles of solute=x (unknown)

[tex]0.5 \ mol/L= \frac{ x}{0.25 \ L}[/tex]

Since we are solving for the moles of solute, we need to isolate the variable x. It is being divided by 0.25 L. The inverse of division is multiplication. Multiply both sides by 0.25 L.

[tex]0.25 \ L *0.5 \ mol/L= \frac{ x}{0.25 \ L}*0.25 \ L[/tex]

[tex]0.25 \ L * 0.5 \ mol/L =x[/tex]

[tex]0.25 * 0.5 \ mol=x[/tex]

[tex]0.125 \ mol =x[/tex]

0.125 moles of sodium phosphate are needed to make 250 mL of a 0.50 M solution.

When 1 mol of a nonvolatile, nondissociating solute is dissolved in 3 mol of volatile solvent, the ratio of vapor pressure of the solution to that of the pure solvent (at the same temperature) is approximately:________

Answers

Answer:

[tex]\frac{P_{solution}}{P_{solvent}^{vap}} =0.75[/tex]

Explanation:

Hello there!

In this case, since the solvation of a nonvolatile-nondissociating solute in a volatile solvent is modelled via the Raoult's law:

[tex]P_{solution}=x_{solvent}P_{solvent}^{vap}[/tex]

Thus, we can calculate the ratio of the vapor pressure of the solution to that of the pure solvent, mole fraction, as shown below:

[tex]x_{solvent}=\frac{P_{solution}}{P_{solvent}^{vap}} =\frac{n_{solvent}}{n_{solute}+n_{solvent}}[/tex]

Thus, we plug in the moles of solvent and solute to obtain:

[tex]\frac{P_{solution}}{P_{solvent}^{vap}} =\frac{3}{3+1}\\\\ \frac{P_{solution}}{P_{solvent}^{vap}} =0.75[/tex]

Regards!

12 moles of sodium into grams

Answers

Answer:

12 moles sodium= 275.87724000000003 grams

Explanation:

1 moles sodium = 0.043497607849056.

What is all the colors in a rainbow​

Answers

Answer:

Red, orange, yellow, green, blue, indigo, violet.

Explanation:

Answer:

Red, orange, yellow, green, blue, purple, violet.

Explanation:

What volume is occupied by 2.0 mol of gas at 3.0 atm
and 27 °C?

Answers

STP conditions imply a temperature of 273.15 K and a pressure of 100 kPa. When tose conditions are met, 1 mole of any ideal gas will have a volume of 22.7 L. So, if 1 mole occupies a volume of 22.7 L, 2 moles will occupy a volume twice as big. Likewise, 0.5 moles will occupy half the volume 1 mole occupies.

What is the hydrogen ion concentration of a solution with pH=7.75 ?

Answers

Answer:

[tex][H^+]=1.78x10^{-8}M[/tex]

Explanation:

Hello there!

In this case, according to the given information about the pH, it is firstly necessary for us to remember that the pH is defined as the potential of the hydrogen ions in the solution and the concentration of those ions represents how many of them are present in the solution; in such a way, it is possible for us use:

[tex]pH=-log([H^+])[/tex]

Whereas the concentration of hydrogen ions can be calculated as follows:

[tex][H^+]=10^{-pH}[/tex]

So we plug in the given pH to obtain:

[tex][H^+]=10^{-7.75}=1.78x10^{-8}M[/tex]

Regards!

Se prepara una concentración molar 0.5M de hidróxido de sodio (NaCH) con la finalidad de determinar el grado de acidez de una bebida embotellada. Calcula la cantidad de gramos de hidróxido de sodio (NaCH) que se requiere para preparar 5 litros de dicha solución.​

Answers

Answer:

100 g

Explanation:

Primero hay que calcular el número requerido de moles de NaOH, usando la definición de molaridad:

Molaridad = moles / litros0.5 M = moles / 5 Lmoles = 2.5 moles

Ahora hay que convertir 2.5 moles de NaOH en gramos, usando su masa molecular:

2.5 mol * 40 g/mol = 100 g

Se requieren 100 gramos de NaOH.

1. Alexa and her family travelled 5 hours south east on 1-45 to crystal
beach this summer for vacation. If the trip was a total of 340 miles,
what was her average speed?
EQUATION
PLUG N NUMBERS
INTO THE EQUSTION
ENALANSWER WITH
UNTS

Answers

Answer:

Average speed  = 68 mph

Explanation:

Given that,

Total distance traveled by the family, d = 340 miles

The family traveled 5 hours southeast.

We need to find her average speed. The speed of an object is given by the total distance covered divided by time taken. So,

[tex]v=\dfrac{d}{t}[/tex]

Put all the values,

[tex]v=\dfrac{340}{5}\\\\v=68\ mph[/tex]

So, her average speed is equal to 68 mph.

determine the maximum amount of NaN03 that was produced during the experiment. Explain how you determined the amount

Answers

Answer:

9 moles of NaNO3 is obtained

Explanation:

The balanced chemical reaction equation for the reaction is;

Al(NO3)3 + 3NaCl-------> 3NaNO3 + AlCl3

Now, we have to determine the limiting reactant. The limiting reactant yields the least amount of NaNO3.

1 mole of Al(NO3)3 yields 3 moles of NaNO3

4 moles of Al(NO3)3 yields 4 * 3/1 = 12 moles of NaNO3

Also,

3 moles of NaCl yields 3 moles of NaNO3

9 moles of NaCl yields 9 * 3/3 = 9 moles of NaNO3

Hence, NaCl  is the limiting reactant and 9 moles of NaNO3 is obtained.

9 moles of NaNO₃ is obtained.

Balanced chemical reaction:

[tex]Al(NO_3)_3 + 3NaCl-----> 3NaNO_3 + AlCl_3[/tex]

From the reaction, it is seen that the limiting reactant yields the least amount of NaNO₃.

1 mole of Al(NO₃)₃ yields 3 moles of NaNO₃

4 moles of Al(NO₃)₃ yields 4 * 3/1 = 12 moles of NaNO₃

Also,

3 moles of NaCl yields 3 moles of NaNO₃

9 moles of NaCl yields 9 * 3/3 = 9 moles of NaNO₃

Hence, NaCl  is the limiting reactant and 9 moles of NaNO₃ is obtained.

Find more information about Balanced chemical reaction here:

brainly.com/question/15355912

The titration of HCl with NaOH is an example of:
A. a weak acid-weak base titration,
B. a weak acid-strong base titration.
c. a strong acid-strong base titration.
D. a strong acid-weak base titration.

Answers

Answer:

I’m pretty sure it’s C

Explanation:

AP Ex

A sample of dry gas is found to occupy 3.650 L at 22.0°C and 740.0 mmHg. How many moles of gas are present?
will mark brainliest

Answers

Answer:

0.147

Explanation

PV/RT

What is the mass of 9.23*10^41 atoms of phosphorus (P)?
(Put your answer in scientific notation)

Answers

Answer:

[tex]m_P=4.75x10^{19}g\ P[/tex]

Explanation:

Hello there!

In this case, according to the given atoms of phosphorous, it is possible to calculate the mass of those atoms by bearing to mind the definition of mole in terms of the Avogadro's number; which refers to the mass and amount of particles in one mole of any element as equal to the atomic mass and the Avogadro's number respectively:

[tex]1 molP=6.022x10^{23}atoms\ P=30.97gP[/tex]

Which is used to obtain the required mass of P:

[tex]m_P=9.23x10^{41}atoms\ P*\frac{30.97g P}{6.022x10^{23}atoms\ P}\\\\m_P=4.75x10^{19}g\ P[/tex]

Regards!

Calculate the specific heat of a substance given that 49 joules of heat is required to raise the temperature of 25.0 g of the substance from 92.6 ºC to 99.4 ºC.

Answers

Answer:

0.29 J/g.°C

Explanation:

Step 1: Given data

Added heat (Q): 49 JMass of the substance (m): 25.0 gInitial temperature: 92.6 °CFinal temperature: 99.4 °C

Step 2: Calculate the temperature change (ΔT)

ΔT = 99.4 °C - 92.6 °C = 6.8 °C

Step 3: Calculate the specific heat of the substance (c)

We will use the following expression.

Q = c × m × ΔT

c = Q / m × ΔT

c = 49 J / 25.0 g × 6.8 °C = 0.29 J/g.°C

A balloon is inflated with 1.25 L of helium at a temperature of 298K. What is
the volume of the balloon when the temperature is 310K?

Answers

Answer:

What is

the volume of the balloon when the temperature is 310K?

What is the IUPAC name for the following compound?

a. benzenecarbonitrile
b. benzenecyanide
c. phenylcyanide
d. cyanophenyl

Answers

Answer:

Option a. Benzenecarbonitrile

Explanation:

You are not providing the picture of the compound. However, I manage to find the picture of it, so I'm gonna answer this with the picture. Its attached here at the end.

As for the IUPAC name of this compound, it would be Benzenecarbonitrile, or simply, benzonitrile.

This compound has the molecular formula C₆H₅CN. It receives this name over the other ones, because this is a aromatic cyanide, and aromatic cyanide has nitriles behavior, (Strength of the nitrogen over the carbon), therefore, this group has priority over the whole molecule. As the principal chain is the benzene, the carbonitrile is the radical of the group, and when cyano groups are as radical and not as principal chains, it has a behavior of nitrile, and it's named as nitrile. therefore, option b, cannot be the name.

phenylcyanide is naming the phenyl as radical, but the benzene is the principal group in this compound, and the cyanide is the radical. It happens the same thing with cyanophenyl.

Hope this helps

To obtain pure lead, lead (II) sulfide is burned in an atmosphere of pure oxygen. The products of the reaction are lead and sulfur trioxide (SO3). Write a balanced chemical equation for this process. How many grams of lead will be produced if 2.54 grams of PbS is burned with 1.88 g of O2? Express your answer to the correct number of significant figures. Be sure to show all steps completed to arrive at the answer. (Hint: be sure to work the problem with both PbS and O2).

Answers

Answer: 2.20 g Pb

They gave us the masses of two reactants and asked us to determine the mass of the product. We will need a chemical equation with masses and molar masses, so, let's gather all the information in one place.

Mᵣ:       239.27   32.00        207.2

           2PbS   +   3O₂   ⟶  2Pb   +   2SO₃

m/g:      2.54        1.88

a chemical property of a mineral is a evident if the mineral 1 breaks easily when struck with a hammer 2 bubbles when acid is placed on it 3 is easily scratched by a fingernail 4 reflects light from its surface​

Answers

Answer:

2. bubbles when acid is placed on it.

Explanation:

Minerals can be defined as any form of naturally occurring, inorganic solid substance characterized by a crystal structure. Also, minerals are homogeneous in nature with a defined chemical composition and characterized by a crystal structure comprising of ions, atoms, or molecules in an orderly arrangement.

Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.

Due to the fact that these molecules are structurally arranged or ordered and are repeated by different symmetrical and translational operations they determine the shape of minerals.

Additionally, inorganic-crystalline substances which are found naturally within earth are referred to as minerals. Some examples of minerals are iron, copper, aluminum, tin, coal, quartz, feldspar, mica, etc.

The chemical composition or property of a mineral reflect the presence and arrangement of atoms in each. Also, it determines the color and density of a mineral.

In Science, the chemical property of a mineral is evident if the mineral produces a bubble when an acid such as hydrochloric acid (HCl) is placed on it.

Answer: 2

Explanation:

Because the acid bubbles help the mineral break down

Please help will give brainliest to right answer!!
You add 1.5 moles of HF to 6 liters of water. The concentration is at equilibrium when [H+] is at 0.10 M. What is the Ka of HF? HF -> H+ + F-.

A) 0.067
B) 0.10
C) 0.25
D) 1.5

Answers

Answer:

C

Explanation:

NP

A…………………………………………………..



When calcium forms an ion that has the same number of outer electrons as which noble gas?
1. neon
2. helium
3. argon
4. krypton

BRAINLIEST FOR HELP ASAP!!!!

Answers

The answer is 4 krypton

What answer is it and how ? please help !!!!!! ill mark brainlyest if right

Answers

Answer:

The answer is B

Brainliest please!

PLEASEEE HELPPP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
You have an unknown concentration of 0.035 L of HCl acid and added 0.033 L of 0.3 M NaOH before the equivalence point was reached. What is the concentration of the HCl?
HCl + NaOH -> H2O + NaCl

A) 0.28 M HCl
B) 0.11 M HCl
C) 0.035 M HCl
D) 3.14 M HCl

Answers

Answer:

A

Explanation:

Answer:

C

Explanation:

Pretty sure!

how much corn syrup should be added to water to make 200 mL of a 10% by volume solution​

Answers

....20 ml corn syrup

To make 200 mL of a 10% by volume solution, add 20 mL corn syrup to water.

What is volume solution?Volume percent of a solution is defined as the ratio of the volume of solute present in a solution to the volume of the solution as a whole. It means that the volume of a closed figure determines how much three-dimensional space it can occupy. In terms of numerical value, volume is the amount of three-dimensional space enclosed by a closed surface. For example, a substance's space can be solid, liquid, gas, or plasma, or any other space-occupying shape. The volume percentage of a solution can be calculated by dividing the volume of solute by the volume of solution and multiplying the result by 100. The basic formula for volume is length width height, whereas the basic formula for area of a rectangular shape is length width height. The calculation is unaffected by how you refer to the various dimensions: you can, for example, use 'depth' instead of 'height.'

To learn more about volume solution, refer to:

https://brainly.com/question/27030789

#SPJ2

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