calculate the speed of longitudinal waves in aluminum (assuming the elastic modulus = 6.89 x 10^4 MPa)

Answers

Answer 1

The expression for the speed of waves in materials allows us to find the result for the speed of sound in aluminum is:

Sound speed is:   v = 5050 m / s

The speed of a wave in a material is determined by the relationship between its volumetric modulus and its density, it is given by the expression.

                                   

               v = [tex]\sqrt{ \frac{B}{\rho} }[/tex]  

where v is the speed of the wave in the material (sound), B is the volume modulus and ρ the density.

They indicate that the volumetric or elastic modulus of aluminum is;

            B = 6.89 10⁴ Mpa ( [tex]\frac{10^6 \ Pa}{1 \ MPa}[/tex] ) = 6.89 10¹⁰ Pa

The density of aluminum is tabulated  ρ = 2.7 10³ kg / m³

We calculate.

              v = [tex]\sqrt{ \frac{6.89 \ 10^{10} }{2.7 \ 10^3 }}[/tex]  

              v = 5.05 10³ m / s

In conclusion using the expression for the speed of waves in materials we can find the result for the speed of sound in aluminum is:

     v = 5050 m / s

Learn more about the speed of sound here:  brainly.com/question/6840608


Related Questions

what would happen if gravity were to stop everywhere?

Answers

Answer:

everything will float up and go up to space and die

Explanation:

gravity keeps us down and once it stops everything will float up. And if it were to stop everywhere everything and everyone will die and everything will be destroyed.

Why metals have thermoconductivity higher than ceramic?

Answers

Answer:

Thermal Conductivity Easily Transmits Heat Among Fine Ceramics

Which region of electromagnetic spectrum will provide photons of the least energy

Answers

Answer:

Explanation:

Radio waves

Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.

An object is travels 50 m in 4 s. It had no initial velocity and experiences constant acceleration. What is the magnitude of the acceleration?

Free-fall Acceleration is -10 m/s^2

I also need the Formula

Answers

Answer:

Explanation:

s = s₀ + v₀t + ½at²

50 = 0 + 0(4) + ½a(4²)

50 = 8a

a = 50/8 = 6.25 m/s²

What is sixth state of matter?

Answers

The fermionic condensate is a cloud of cold potassium atoms forced into a state where they behave strangely.

A solid sphere rolls without slipping down an incline, starting from rest. At the same time, a box starts from rest at the same altitude and slides down the same incline, with negligible friction. Which object arrives at the bottom first

Answers

Answer:

The box arrives first.

Explanation:

Hope this helps!! :))

Learn more at :

https://brainly.com/question/20164917

According to the information, a solid sphere is an object that arrives at the bottom first. This is because it occupies less friction as compared to the box.

What is Friction?

Friction may be defined as the resistance that is offered by the surfaces that are in contact when they move past each other. It is a type of force that opposes the motion of a solid object over another.

There are mainly four types of friction: static friction, sliding friction, rolling friction, and fluid friction. According to the context of this question, the sphere possesses less friction as compared to the box. This is because the box has an irregular surface that possesses high friction over the inclined surface.

Therefore, according to the information, a solid sphere is an object that arrives at the bottom first. This is because it occupies less friction as compared to the box.

To learn more about Friction, refer to the link:

https://brainly.com/question/24338873

#SPJ6

Read the sentence from the text. “They are as glossy as satin or sunlight reflecting off water!" What does the word glossy mean in the sentence? O A. pointed o B. shiny O C. small O D. strong​

Answers

Answer:

b Shiny

Explanation:

Trust me it's right

The answer is B. Shiny

PLEASE HELP I DONT GET THISS

Answers

Answer:

I feel like its the second one but I'm not completely sure..

Explanation:

1. Explain who is doing more work and why: a bricklayer carrying bricks and placing them on the wallof a building being
constructed, or a project supervisor observing and recording the progress of the
workers from an observation booth.

Answers

Both are doing because they have chorus

A car with an initial position of 10.0 m
and an initial velocity of 16.0 m/s accelerates at an average rate of 0.50 m/s2 for 4.0 s. What is the car’s position after 4.0 s?

Answers

Answer:

78

Explanation:

x=xi+vi(t)+1/2a(t)^2

x=10+16(4)+1/2(0.50)(4)^2

x=74+4

x=78 m

PLSSS HELP IT'S VERY IMPORTANT FOR ME WILL MAKE AS BRAINLIEST
Fill in the blank
Valence electrons are______

"The answer is not electrons in the outer shells that are not filled!!"​​

Answers

Answer:

negatively charged particle

valence electron  is a electron of an atom, located in the outermost shell (valence shell ) of the atom, that can be transferred to or shared with another atom.

Jack sits in the chair of a Ferris wheel that is rotating at a constant 0.120 rev/s . As Jack passes through the highest point of his circular part, the upward force that the chair exerts on him is equal to one-fourth of his weight.

Answers

Answer:

Explanation:

0.120 rev/s(2π rad/rev) = 0.24π rad/s

At the highest point of the arc, gravity must supply the required centripetal acceleration. As the normal force is 1/4 of his normal weight, then 3/4 of gravity acceleration must be used as centripetal acceleration

0.75g = ω²R

R = 0.75(9.81) / (0.24π)²

R = 12.942198...

R = 12.9 m

The radius of the circle is equal to 12.95m which is rotating with an angular velocity of 0.120 rev/s.

What is vertical circular motion?

A body spins in a vertical circle so that its motion at different points is different from the motion of the body is said to be vertical circular motion.

The velocity and tension vary in maximum magnitude from the lowest to the highest position because of the effect of the gravitational force of the earth.

Given, the angular velocity of the Ferris wheel, ω = 0.120 rev/s

ω = 0.120 rev/s × 2π rad/rev

ω= 0.7536 rad/s

If r is the radius of the circle and 'm' is the mass of the jack.

From newton's second law of motion, the net force will be equal to

mg - N = mrω²

mg - (mg/4) = mrω²

r = 3g/4ω²

r = 3×9.81 / (4× 0.7536)

r = 12.95 m

Therefore, the radius of the circle in which the jack travels is equal to 12.95m.

Learn more about vertical circular motion, here:

https://brainly.com/question/22810476

#SPJ2

Your question is incomplete, most probably the complete question was,

Jack sits in the chair of a Ferris wheel that is rotating at a constant 0.120 rev/s. As Jack passes through the highest point of his circular part, the upward force that the chair exerts on him is equal to one-fourth of his weight. What is the radius of the circle in which Jack travels?

An object accelerates from rest, with a constant acceleration of 6.4 m/s2, what will its velocity be after 7s?
I also need the Formula

Answers

Hi there!

The formula for velocity given acceleration:

v = at

Plug in given values:

v = 6.4(7) = 44.8 m/s

Velocity and Acceleration Quick Check
Item 1
Use this graph of velocity vs. time for two objects to answer the question.
Item 2
Item 3
С
Item 4
Item 5
D
velocity
time
Which statement makes an accurate comparison of the motions for objects C and D?
(1 point)
lol

Answers

Answer:it’s C

Explanation:

by using graph of velocity vs. time for two objects, Item 4 and Item 5 statement makes an accurate comparison of the motions for objects. thus option C is correct.

What is velocity ?

velocity is the  rate of change of the position of the object with respect to  reference and it is complicated but velocity is basically speeding a particular object in a specific direction.

Velocity is a vector quantity which means both magnitude (speed) and direction are combinedly define define velocity. The SI unit of velocity is meter per second (ms-1) and the magnitude or the direction of velocity of a body changes leads to acceleration.

Speed and velocity are the two closest term but the major difference between speed and velocity is that speed gives us an idea that the object with the faster rate of movement r where as  velocity  speed up as well as  tells us the direction of the body

For more details velocity, visit

brainly.com/question/28738284

#SPJ2

What is the best description of the distribution of the galaxies that lie within about 200 Mpc of Earth

Answers

Answer: galaxies seem to be set out in a network of filaments, or strings, neighbouring large, empty regions of space that is known as voids!

2 W' is the symbol of a) antimony b) gold c) polonium d) tungsten​

Answers

Answer:

D. Tungsten

Explanation:

W - Wolfram

5) You pull a 10.0 kg wagon along a flat road. You exert a force of 80.0 N at an angle of 30.0 degrees above the horizontal while you move the wagon 10.0 m forward. The coefficient of friction between the wagon and road is 0.500. Calculate the work down by you and the work done by friction.

Can someone solve by showing the steps?

Answers

This question involves the concepts of work done and the frictional force.

a. Work done by the person is "692.82 N".

b. Work done by the frictional force is "490.5 N".

a.

Work done by the person can be given by the following formula:

[tex]W=FdCos\theta[/tex]

where,

W = work done by the person = ?

F = Force applied by the person = 80 N

d = distance traveled = 10 m

θ = angle between force and motion = 30°

Therefore,

[tex]W=(80\ N)(10\ m)Cos30^o[/tex]

W = 692.82 N

b.

Work done by the frictional force is given by the following formula:

[tex]W_f=fd\\W_f=\mu mgd[/tex]

where,

[tex]W_f[/tex] = work done by the frictional force = ?

μ = coefficient of friction = 0.5

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]W_f=(0.5)(10\ kg)(9.81\ m/s^2)(10\ m)[/tex]

[tex]W_f=490.5\ N[/tex]

Learn more about frictional force here:

https://brainly.com/question/1714663?referrer=searchResults

What is the meaning of eddy currents in electromagnetic series?​

Answers

Answer:

currents which circulate in conductors like swirling eddies in a stream in electromagnetic series....

True or False: The basketball should be dribbled below the waist.

Answers

True if you have proper stance and use your body the right way then the ball will be below your waist to allow for more control.

For the ballistic missile aimed to achieve the maximum range of 9500 km, what is the maximum altitude reached in the trajectory

Answers

Explanation:

The range R of a projectile is given the equation

[tex]R = \dfrac{v_0^2}{g}\sin{2\theta}[/tex]

The maximum range is achieved when [tex]\theta = 45°[/tex] so our equation reduces to

[tex]R_{max} = \dfrac{v_0^2}{g}[/tex]

We can solve for the initial velocity [tex]v_0[/tex] as follows:

[tex]v_0^2 = gR_{max} \Rightarrow v_0 = \sqrt{gR_{max}}[/tex]

or

[tex]v_0 = \sqrt{(9.8\:\text{m/s}^2)(9.5×10^6\:\text{m})}[/tex]

[tex]\:\:\:\:\:\:\:=9.6×10^3\:\text{m/s}[/tex]

To find the maximum altitude H reached by the missile, we can use the equation

[tex]v_y^2 = v_{0y}^2 - 2gy = (v_0\sin{45°})^2 - 2gy[/tex]

At its maximum height H, [tex]v_y = 0[/tex] so we can write

[tex]0 = (v_0\sin{45°})^2 - 2gH[/tex]

or

[tex]H = \dfrac{(v_0\sin{45°})^2}{2g}[/tex]

[tex]\:\:\:\:\:\:= \dfrac{[(9.6×10^3\:\text{m/s})\sin{45°}]^2}{2(9.8\:\text{m/s}^2)}[/tex]

[tex]\:\:\:\:\:\:= 2.4×10^6\:\text{m}[/tex]

what is the velocity of this graph between points a and b? 0.0m/s 2.5m/s 5.0m/s 6.0m/s?

Answers

Pick C. 5.0m/s it’s the right one

Answer:

Pick c is the right one

Explanation:

5.0m/s

the c component of vector a is 5.3 units, and it’s y component is -2.3 units. the angle that vector a makes with the +x axis is closest to
110
160
23
340
250

Answers

Answer:

340

Explanation:

Sorry I don't know how to do this one yet, I just found the answer in a textbook.

The angle that vector a makes with the +x axis is closest to 23.

What is direction of a vector?

The direction of a vector is represented tangent of angle equal to the ratio of the y component and the x component of the vector quantity.

tangent of angle = y/x

angle = tan⁻¹ (-2.3/5.3)

angle = 23.46°

Thus, the angle that vector makes with +x is 23.

Learn more about direction of vector.

https://brainly.com/question/12002625

#SPJ2

When a 25000-kgkg fighter airplane lands on the deck of the aircraft carrier, the carrier sinks 0.30 cmcm deeper into the water.

Answers

even i cant find the answer just guess

An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 6.44 m/s2. Determine the orbital period of the satellite.

Answers

Explanation:

The artificial satellite experiences a centripetal force [tex]F_c[/tex] as it moves around the earth and it is defined as

[tex]F_c = m\dfrac{v^2}{r} = m\left(\dfrac{2\pi r}{T}\right)^2\left(\dfrac{1}{r}\right) = \dfrac{4\pi^2mr}{T^2}[/tex]

where m is the mass of the satellite, r is its orbital radius and T is its orbital period. But we need to find the radius first.

Recall that the satellite is orbiting at a height where its acceleration due to gravity is 6.44 m/s^2. Since we know that the weight mg of the satellite is equal to the gravitational force [tex]F_G[/tex] between the earth and the satellite, we can write

[tex]mg = F_G = G\dfrac{mM}{r^2}[/tex]

[tex]\Rightarrow g = G\dfrac{M}{r^2}[/tex]

where M is the mass of the earth (=[tex]5.972×10^{24}\:\text{kg}[/tex]) and G is the universal gravitational constant (=[tex]6.674×10^{-11}\:\text{N-m}^2\text{/kg}[/tex]). Plugging in the values, we find that the radius of the satellite's orbit is

[tex]r = \sqrt{\dfrac{GM}{g}} = \sqrt{\dfrac{(6.674×10^{-11}\:\text{N-m}^2\text{/kg})(5.972×10^{24}\:\text{kg})}{6.44\:\text{m/s}^2}}[/tex]

[tex]\:\:\:\:\:= 7.87×10^6\:\text{m}[/tex]

Now that we have the value for the radius, we can now calculate the orbital period T. Recall that the centripetal force is equal to the weight of the satellite at its orbital radius. Therefore,

[tex]F_c = mg \Rightarrow \dfrac{4\pi^2mr}{T^2} = mg[/tex]

or

[tex]4\pi^2r = gT^2[/tex]

Solving for T, we get

[tex]T^2 = \dfrac{4\pi^2r}{g} \Rightarrow T = \sqrt{\dfrac{4\pi^2r}{g}}[/tex]

We can further simplify the above expression into

[tex]T = 2\pi\sqrt{\dfrac{r}{g}}[/tex]

Plugging in the values for r and g, we get

[tex]T = 2\pi\sqrt{\dfrac{(7.87×10^6\:\text{m})}{(6.44\:\text{m/s}^2)}}[/tex]

[tex]\:\:\:\:\:= 6945\:\text{s} = 1.93\:\text{hrs}[/tex]

a body of mass 15 kg accelerates from rest of the rate of 4.0 ms^-2. determine the distance with the body travel in 25 seconds​

Answers

The distance traveled by the body in the given time is 1,250 m.

The given parameters;

mass of the body, m = 15 kgacceleration of the body, a = 4 m/s²time of motion, t = 25 sinitial velocity, u = 0

The distance traveled by the body in the given time is calculated as follows;

[tex]s =ut + \frac{1}{2} at^2\\\\s = 0 \ + \ \frac{1}{2} (4)(25^2)\\\\s =1,250 \ m[/tex]

Thus, the distance traveled by the body in the given time is 1,250 m.

Learn more here:https://brainly.com/question/17067013

The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true abou
motion? (1 point)
O The acceleration is constant and non-zero.
O The velocity is constant and non-zero.
0 The acceleration is negative
O The velocity is zero.

Answers

Answer:D: the velocity is zero

Explanation:

What does Newton's third law describe?
A) the tendency of stationary objects to remain at rest.
B) How the force applied to an object is related to a change in its motion.
C) The four fundamental forces of nature.
D) The forces between two objects

Thanks!!

Answers

Answer:

What does Newton's third law describe?

D) The forces between two objects

A clothes dryer in a home draws a current of 10 amps when connected on a special 220-volts household circuit.what is the resistance of the dryer?

Answers

Answer:

22Ω

Explanation:

if    V ⇒ voltage

      I ⇒ current

      R ⇒ resistance

V = IR

220 = 10 x R

220 / 10 = R

22 = R

a man can jump 9meteres on the moon.how high can he jump on the earth.​

Answers

Answer:

You can jump 1.5 feet on Earth.

Explanation:

Because the moons gravity is weaker that earth so it would be easier to jump further on the moon.

The photo shows a skateboarder pushing her foot against the ground as she rides down a hill.
How does this action cause the skateboarder’s speed to change?

Answers

Answer:

A

Explanation:

Down the hill, the net force increases if she pushes more forward.

Answer:

its a im just did the test

Explanation:

Other Questions
How are goods distributed across Canada? Think of two methods. which of the following nutrients is known as sunshine Vitamin whats the difference between sweet potatoes and yams ASAP HELP MEE PLEASEEEE how did henry viii respond when the pope excommunicated him? Human/Environment Interaction: (How have people adapted or modified the environment, or has the environment forced people to adapt?) (Okanogan county) Choose all of the equations that are equivalent to 8k = 20. One premise of the National Response Framework is Tiered Response. Tiered Response can best be described as: The letters A, B, and C can be arranged in six ways. Five ways are listed below.Find the sixth way. ACB BAC Find the value of x in each case !!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations A sample of SO2 gas occupies 45.6 L at 373 K and 3.45 atm. How many moles of oxygen atoms? If you earn 15% on your investment how long will it take for your money to double using the rule of 72 Read an integer from the user repeatedly, until the user enters a negative number. use for loop (C programming) Learning Objectives: understand when to use the different print statements create a variable and assign it a value use Scanner to read in user input print the value of a variable using printf Output: US state: Texas Capital: Austin The capital of Texas is Austin Description: Copy and paste the code below: /******************************************************* * Name: * Assignment: A01 *******************************************************/ public class A01{ public static void main(String[] args){ // part1 System.out.print("x x x"); System.out.print("x o x"); System.out.print("x x x"); System.out.println(); // part2 } } Write your name in the comment on top. The red letters in the output are the user inputs. This assignment consists of 2 parts. First you demonstrate your understanding of the different print statements by modifying a code segment. Then you read in two Strings and print a statement based on the user input. Part1: The code segment provided includes three print statements that produce the following output: Change the code segment so that it produces the following output: Hint: you will need to change the number of statements Part2: Prompt the user to enter a state Read in the user response and assign it to a String variable named state Hint: before you can assign a value to the variable state it needs to be declared Prompt the user to enter the name of the capital Read in the user response and assign it to a String variable named capital. Use printf and format specifiers to print the following message: The capital of state is capital where you substitute state and capital with the state and capital entered by the user. Make your output look exactly like the output displayed above. Make sure to read in the input next to the prompt but without touching it (use a blank to separate the prompt from the user input). The output should use a single empty line to separate the frog displayed in part1 from the output created in part2. What is Darwin's theory called?Describe the basic ideas behind his theory. the sum of two rational numbers is 17/18 If one of the numbers is 5/24 find the other number The base of the following pyramid is a square. If the volume ofthe pyramid is 360 feet^3, what is the missing length? Round theanswer to the nearest hundredth. Which state of matter has molecules that barely move at all?liquidgassolidThey are all the same. I've asked this question 4 times please help!Explain three types of scientific models. What are one benefit and one disadvantage of each?