Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 46 m from the center of rotation. The turbine rotates with a frequency of f = 11 rpm.

Required:
a. Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
b. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

Answers

Answer 1

Answer:

Explanation:

moment of inertia of each blade which is similar to rod rotating about its one end

= 1/3 ml²

moment of inertia of 3 blades = ml²

= 5500 x 46²

I = 11638 x 10³ kg m²

angular velocity = 2πn where n is rotation per second

n = 11 / 60

angular velocity = 2π x 11/60

= 1.1513 rad /s

angular momentum

= moment of inertia x angular velocity

=  11638 x 10³ x 1.1513

= 13399 x 10³ kg m² per second.


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

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1. A 5 Ohm resistor is connected to a 9 Volt battery. How many Joules of thermal energy are produced in 7 minutes?

2. The current in a flashlight powered by 4.5 Volts is 0.5 A. What is the power delivered to the flashlight?

3. If the flashlight in the previous problem is left on for 3 minutes, how much electric energy is delivered to the bulb?

4. A 50 Ohm resistance causes a current of 5 milliamps to flow through a circuit connected to a battery. What is the power in the circuit?

5. How many Joules of electric energy are delivered to a 60 Watt lightbulb if the bulb is left on for 2.5 hours?

Answers

Answer:

Question 1: 189 joules

Question 2: 2.25 watts

Question 3: 405 joules

Question 4: 0.00125 watts

Question 5: 450000 joules

Explanation:

question 1:

Volt=1.5v

Resistance =5 ohms

Time=7 minutes

Time=7 x 60

Time=420 seconds

Current =voltage ➗ resistance

Current =1.5 ➗ 5

Current =0.3 amps

Energy=current x voltage x time

Energy=0.3 x 1.5 x 420

Energy =189 joules

Question 2:

Current =0.5 amps

Voltage =4.5v

Power=current x voltage

Power=0.5 x 4.5

Power=2.25 watts

Question 3:

Current=0.5 amps

Voltage=4.5v

Time =3 minutes

Time =3x60

Time =180 seconds

Energy=current x voltage x time

Energy=0.5 x 4.5 x 180

Energy =405 joules

Question 4:

Resistance=50 ohms

Current =5 milliamps

Current =5/1000

Current =0.005 amps

Power =current x current x resistance

Power=0.005 x 0.005 x 50

Power=0.00125 watts

Question 5:

Power =50 watts

Time=2.5 hour

Time=2.5 x 60 x 60

Time =9000 seconds

Energy=power x time

Energy=50x9000

Energy=450000 joules

In this experiment, you need to examine the idea of thermal energy transfer. Using a controlled experiment, what might a good question about the variables that affect thermal energy transfer be? Thermal energy transfer depends on many properties, but limit your question to only two.

Answers

Answer:

We shall consider two properties:

1. Temperature difference

2. Thermal conductivity of the material

Use a cylindrical rod of a given material (say steel) which is insulated around its circumference.

One end of the rod is dipped in a large reservoir of water at 100 deg.C and the other end is dipped in water (with known volume) at 40 deg. C. The cold water if stored in a cylinder which is insulated on all sides. A thermometer reads the temperature of the cold water as a function of time.

This experiment will show that

(a) heat flows from a region of high temperature to a region of lower temperature.

(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.

(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different.

Explanation:

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

Arrange the steps in order to describe what happens to a gas when it cools.

Answers

Answer:

A fan pushes hot air out of a vent and into a room. The hot air displaces cold air in the room, causing the cold air to move closer to the floor.

The hot air displacing the cold air is an example of  transfer by

Explanation:

Explain how an electrical current is produced.

Answers

Electric current can be generated by moving a metal wire through a magnetic field It is also different than static electricity, which is the accumulation of charges on a surface. Electric generators rotate a coil of wires through a magnetic field.

Answer:electric current can be generated by moving a metal wire through a magnetic field .electric current can also be produced by batteries

Explanation:

electric current can be generated by moving a metal wire through a magnetic field.this method is applicable in electric generators.

Electric current can also be generated by connecting metal wires to batteries.

A chemical reaction occurs. Which of the following would indicate that energy is transformed during the reaction? A. an electrical charge is produced B. heat is produced C. light is produced D. all of these

Answers

The Answer is B

Hope this helps

Answer:

b

Explanation:

Eclipses of the sun and moon are best explained by which of the following?

The irregular shape of the orbits of Earth and the moon


The rotation of Earth and the moon on their axis


The revolution of Earth and the moon around the sun

The different chemical compositions of the sun and the moon

Answers

Answer:

Eclipses of the Sun and Moon are best explained by the revolution of Earth and the Moon around the Sun.

Explanation:

An eclipse is the covering of a star by another celestial body.  In everyday language, an eclipse usually means a solar or lunar eclipse.

When the sun, moon and earth are aligned (in this order), the sun is covered by the moon when viewed from a place on earth. The sunlight will then no longer reach the earth. In other words, part of the earth has been eclipsed by the moon. This is referred to as a solar eclipse.

If the earth is between the sun and the moon, and thereby prevents sunlight from reaching the moon, then there is a lunar eclipse. After all, seen from the moon, the earth covers the sun. The moon is then eclipsed by the earth.

A pipe branches symmetrically into two legs of length L, and the whole system rotates with angular speed ω around its axis of symmetry. Each branch is inclined at angle α to the axis of rotation. Liquid enters the pipe steadily, with zero angular momentum, at volume flow rate Q. The pipe diameter, D, is much smaller than L. Obtain an expression for the external torque required to turn the pipe. What additional torque would be required to impart angular acceleration ω_ ?

Answers

Answer:

Check the explanation

Explanation:

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

A brick is dropped from a high scaffold. a. What is its velocity after 4.0s ?

b. How far does the brick fall during this time ?

Answers

Answer:

A: 1.962

B: 3.924

Explanation:

g = G *M /R^2

g = 9.807*M/R^2 the gravitational constant of ground level on earth is about 9.807

g = 9.807*5lbs/R^2 the average brick is about 5 pounds.

g = 9.807*5*10^2.   I'm assuming the height is around ten feet to help you out.

with these numbers plugged in you get an acceleration of 0.4905 a final velocity after 4 seconds 1.962. It's height fallen after 4 seconds is 3.924.

( M = whatever the brick weighs it's not specified in the question)

(R = the distance from the ground or how high the scaffold is)

(hopefully you can just plug your numbers in there hope this helps)

plzzz help will mark the brainliest

Answers

Ciara is winging....etc
The answer is : 0.60 N, toward the center of the circle


A satellite....etc
The Answer is : 7400 m/s


What is the .....etc
The Answer is : 2.60 m/s

A large boulder falls from an underwater ledge and crashes on the floor of the ocean. A pod of dolphins is 800 meters away. Determine how long it takes for the sound of the crash to reach the dolphins.

0.5 sec
0.3 sec
2.3 sec
1.9 sec

Answers

Answer:

0.5

Explanation:

Answer:

0.539

Explanation:

how much force is needed to accelerate a space shuttle 15 m/s2 with a mass of 2,030,000?

Answers

Answer:30450000N

Explanation:

Mass=2030000

Acceleration=15 m/s^2

Force=mass x acceleration

Force=2030000 x 15

Force=30450000 N

The force required to accelerate the space shuttle is equal to 3.04 × 10⁷ N.

What is force?

Force acting on a body can be described as the influence that can change the state of the body from motion or rest and vice versa. The S.I. unit of force can be denoted as Newton (N) and is a vector parameter.

Force has the ability to change the direction and speed of moving objects. The mathematical expression of the 2nd law of motion for force can be written as:

F = ma

Given the mass of the space shuttle, m = 2030000Kg = 2.03 × 10⁶ Kg

The acceleration of the space shuttle, a= 15 m/s²

The force needed to accelerate a space shuttle by 15 m/s² is equal to:

F = ma =  2.03 × 10⁶ × 15 = 3.04 × 10⁷ N

Therefore, the force needed to accelerate a space shuttle is 3.04 × 10⁷ N.

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During the process of mountain building, earthquakes sometimes occur along continental-continental convergent boundaries. Which statement best describes the motion of the plates along these boundaries that causes the earthquakes?

The plates push apart from each other with no subduction.
Subduction occurs with the less-dense plate sinking below the other plate.
Subduction occurs with the more-dense plate sinking below the other plate.
The plates smash together with no subduction.

Answers

Answer:

The correct answer is The plates smash together with no subduction. I just took this on Edge. Glad I could help!

The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction

For better understanding let's explain what the answer means

it is said that the meeting point of two tectonic plates will causea convergent plate boundary to be formed. one of the converging plates will move under the other as it is known as subduction

From the above we can therefore say that the answer The statement best describes the motion of the plates along these boundaries that causes the earthquakes is that The plates smash together with no subduction, is correct

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Question 7
Review
Which particles are not affected by the strong force?
A.
hadrons
B.
protons
C.
neutrons
D
electrons
Submit A
Hide Toolbar

Answers

Answer:

Electron

Explanation:

Because electron are not hadrons so electron are not affected by strong force

Particles that can not be affected by strong forces are electrons.

What are electrons?

Electrons are the rotating material around the nucleus of an atomic element in orbit.

Atoms have electrostatic energy between their electrons. This force is not broken by a force as strong as nuclear power.

What are strong forces?

Strong force is a fundamental interaction of nature that acts between subatomic particles of matter.

There are four basic forces in nature:

Gravity: the gravitational force used between any heavy objects. It has an infinite range.Electrical energy: energy used between electrically charged objects. It can be either attraction or repulsion.Nuclear power: is the magnetic field that responds to the binding of protons and neutrons within the nucleus of an atom. It only works for very short distances.Weak nuclear power: a force that causes nuclear decay. It only works for very short distances.

Therefore, particles that are unaffected by strong force are electrons.

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a girl pushes an 18.15 kg wagon with a force of 3.63 N. what is the acceleration?

A. 0.06 m/s2
B. 5 m/s2
C. 0.2 m/s2

Answers

Answer:0.2 m/s^2

Explanation:

mass=18.15kg

Force=3.63N

Acceleration=force ➗ mass

Acceleration=3.63 ➗ 18.15

Acceleration=0.2 m/s^2

A girl pushes a wagon of mass 18.15 kg with a force of 3.63 N, so the acceleration of the wagon will be 0.2 m/s².

What is acceleration?

In mechanics, acceleration is the measure of how rapidly an object's velocity changes over time. Accelerations as a vector quantity. An object's acceleration depends on the direction of the net force exerted on it.

A vector quantity, acceleration, is something that has both a magnitude and a direction. As a vector quantity, velocity is also. The ratio of the velocity vector change over a time interval to that interval is the definition of acceleration.

Mass, m =18.15 kg

Force, f = 3.63 N

Force = m × a

a= f / m

a =3.63 / 18.15

a = 0.2 m/s²

Hence, the acceleration of the wagon will be 0.2 m/s².

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A potato and raisins salad has been warmed up to a temperature of 80∘C and let it stand for three minutes. Then one tries a bite. 1) Would the potatoes and raisins be equally warm? Potatoes have a specific heat of 3430 J/(kg⋅∘C). Raisins have a specific heat of 1630 J/(kg⋅∘C).

Answers

Answer:

No. Potatoes will be warmer.

Explanation:

[tex]Q=m\times c\times \Delta T[/tex]

where,

Q = heat taken

m = mass of substance

c = specific heat of substance = ?

ΔT = change in temperature

As we are given that the potatoes have a specific heat of 3430 J/(kg⋅∘C) and raisins have a specific heat of  1630 J/(kg⋅∘C). It implies that substance take more heat when higher the value of specific heat i.e more warmer will be the substance. Thus, the potatoes will be more warmer as compared to raisins.

Therefore, No. Potatoes will be warmer.

Which of the following BEST summarizes the relationship between groups and culture and critical thinking?

Answers

Answer:

Groups and culture helps in influencing our values,ethics and beliefs. This influence should always be questioned through the process of thinking critically.

This best summarizes the relationship between groups and culture and critical thinking.

Speed is the rate of change of position expressed as____ Traveled per unit of time

Answers

Answer:

distance

Explanation:

Speed is the rate of change of position expressed as distance travelled per unit of time

Which theory states that deviance results not only from what people do, but also from how others respond to those actions?

A.
strain theory
B.
labeling theory
C.
differential association theory
D.
control theory
E.
conflict theory

Answers

I’m pretty sure the answer is conflict theory

The theory states that deviance results not only from what people do but also from how others respond to those actions are labeling theory. Hence, the option B is correct.

What is labeling theory?

This theory states that deviance and conformity result not so much from what people do but also from how others respond. It is called labeling theory. Eg: Skipping school, and underage drinking.

It also suggests that any deviance results in how society responds to certain behaviors. It defines the behavior of human beings influenced by other members of society.

It also notes that a person is made to act in a negative way by the manner in which society identifies him. If a person is identified as a criminal then he involves in the criminal activities.

Conflict theory refers to the theory linking deviance to social inequality. Anticipating the consequences of a person's behavior is control theory.

Hence, the correct option is B) labeling theory.

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Dual Nature of Light
Assignment
Active
Explaining the Nature of Light
Why do scientists believe that light is made of streams of
particles?

Answers

scientists believe that light is made of streams of particles because only the presence of photons can explain phenomena observed during experiments on the photoelectric effect.

Which of the following could possibly be predicted? Earthquakes Landslides Foreshocks Volcanic eruptions

Answers

Answer:

Volcanic Eruptions

Explanation:

The volcano can start showing signs that it may be about to explode.

Answer:

Volcanic eruptions.

Explanation:

I had the same question on an assignment and I got it right.

"It is impossible to devise a process which may convert heat, extracted from a single
reservoir, entirely into work without leaving any change in the working system”.
Use the Second Law of Thermodynamics to state our inability to utilize the heat contents
of oceans and atmosphere which contains a large amount of heat energy but cannot be
converted into useful mechanical work You may use the concept of heat engine to discuss
this​

Answers

Answer:

According to the second law of thermodynamics, we are unable to use the heat of the ocean and the atmosphere because we do not have a reservoir that has a temperature lower than the ocean or the atmosphere.

Explanation:

As you already know, the ocean and atmosphere have a lot of thermal energy, however, we are unable to convert this energy into mechanical energy that would be useful for our activities. This can be explained by the second law of thermodynamics, since it states that the presence of two bodies with different temperatures is necessary for it to be possible to transform heat into work.

In this case, to transform the thermal energy of the ocean and the atmosphere into mechanical energy we would need the existence of a thermal motor, which is only possible to be established when there is a body with high thermal energy and a sink, a reservoir, with low thermal energy, which will be the place where the heat will be expelled, to be converted into work. We do not have a reservoir with less thermal energy than the ocean and the atmosphere, so we cannot use their energy.

Describe at least two different objects that you think are magnetic and why do you think this objects are magnetic

Answers

Answer:

Magnetic letters Screws and bolts

Explanation:Magnetic letters have to be magnetic so they can stick to things like walls and fridges. Screws and bolts are magnetic becaus they become easier to to screw onto things since the tool that you use to screw it in is also magnetic.

Answer:

File cabins and nails/screw,

Explanation:

Because they are ferromagnetic this means that they can be magnetized.  Magnetic objects are made of metal and metals do attract magnet.

A closed container with volume of 7.20 L holds 10.9 g of liquid helium at 3.00 K and enough air to fill the rest of its volume at a pressure of 1.00 atm. The helium then evaporates and the container warms to room temperature (293 K). What is the final pressure inside the container?

Answers

Answer:

The final pressure inside the container is 107.7 atm

Explanation:

Given;

volume of the closed container =  7.20 L

mass of liquid helium in the container = 10.9 g

initial temperature of the container = 3.00 K

initial pressure of the container = 1.00 atm.

final temperature of the container = 293 K

Number of moles of He in the container = 10.9 / 4 = 2.725 moles

At 273˚K and 1 atm pressure (STP), the volume of 1 mole of a gas = 22.4 L

Volume of 2.725 moles of He at STP = 2.725 x  22.4 = 61.04 L

Volume of 2.725 moles of He at 3 K and 1 atm = (3/273) x 61.04 = 0.671 L

Thus, volume of He = 0.671 L

Volume of air in the container = 7.2 L – 0.671 L = 6.529 L

Since, the liquid helium evaporated, we only have air left in the container,

thus, final volume of the container, V₂ =  6.529 L

Initial volume of the container, V₁ = 7.20 L

Initial pressure of the in the container, P₁ = 1 atm

initial temperature of the container, T₁ = 3 K

Final temperature of the container, T₂ = 293 K

Final pressure of the container, P₂ = ?

Apply general gas law, in order to estimate P₂

[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \\\\P_2 = \frac{P_1V_1T_2}{T_1V_2} \\\\P_2 = \frac{1*7.2*293}{3* 6.529}\\\\P_2 = 107.7 \ atm[/tex]

Therefore, the final pressure inside the container is 107.7 atm

A three-phase Y-connected four-pole winding is installed in 24 slots on a stator. There are 40 turns of wire in each slot of the windings. All coils in each phase are connected in series. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min. (a)What is the frequency of the voltage produced in this winding?(b)What are the resulting phase and terminal voltages of this stator?

Answers

Given Information:

Number of slots = 24

Number of turns = 40

Flux per pole = 0.060 Wb

Speed of rotation of magnetic field = 1800 rev/min

Required Information:

a) Frequency = ?

b) Phase and Terminal voltage = ?

Answer:

a) Frequency = 60 Hz

b) Phase voltage = 2560 V

Terminal voltage = 4434 V

Explanation:

(a)What is the frequency of the voltage produced in this winding?

The relation between frequency of the voltage produced and the speed of rotation of magnetic field is given by

[tex]f = \frac{nP}{120}[/tex]

Where n is the speed of rotation of magnetic field and P is the number of poles in the winding.

[tex]f = \frac{1800\times 4}{120}\\\\f = \frac{7200}{120}\\\\f = 60 \: Hz[/tex]

(b)What are the resulting phase and terminal voltages of this stator?

The phase voltage is given by

[tex]E = \sqrt{2} \cdot \pi\cdot N\cdot \phi\cdot f[/tex]

Where N is the number of turns, Ф is the flux per pole and f is the frequency calculated in part a.

[tex]E = \sqrt{2} \cdot \pi\cdot 40\cdot \ 0.060\cdot 60\\\\E = 639.77\\\\E = 640 \:V\\\[/tex]

There are total 24 slots so each phase has 24/3 = 8 slots

We know that the number of poles are 4 so that means each phase has 4 sets of coils.

So the voltage in each phase is

Vp = 4*640

Vp = 2560 V

Since it is a Y-connected machine, The terminal voltage is will be

[tex]V_T = \sqrt{3} V_p\\\\V_T = \sqrt{3} \cdot2560\\\\V_T = 4434 \: V\\\\[/tex]

A 50 Ohm resistance causes a current of 5 milliamps to flow through a circuit connected to a battery. What is the power in the circuit?

Answers

Answer:0.00125 watts

Explanation:

resistance=50 ohms

Current=5 milliamps

Current=5/1000 amps

Current=0.005 amps

Power=(current)^2 x (resistance)

Power=(0.005)^2 x 50

Power=0.000025 x 50

Power=0.00125 watts

Answer:

if a circuit is powered by 100v and has an overall resistance of 50 ohms 2 amps flows through the circuit

Explanation:

Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 13 rpm.
a. Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared.
b. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.

Answers

Answer:

a)106.48 x 10⁵ kg.m²

b)144.97 x 10⁵  kgm² s⁻¹  

Explanation:

a)Given

m = 5500 kg

l = 44 m

Moment of inertia of one blade

[tex]I[/tex]= 1/3 x m l²

where m is mass of the blade

l is length of each blade.

Putting all the required values, moment of inertia of one blade will be

[tex]I[/tex]= 1/3 x 5500 x 44²  

[tex]I[/tex]= 35.49 x 10⁵ kg.m²

Moment of inertia of 3 blades

[tex]I[/tex]= 3 x 35.49 x 10⁵ kg.m²

[tex]I[/tex]= 106.48 x 10⁵ kg.m²

b) Angular momentum 'L' is given by

L =[tex]I[/tex] x ω

where,

[tex]I[/tex]= moment of inertia of turbine i.e  106.48 x 10⁵ kg.m²

ω=angular velocity =2π f

f is frequency of rotation of blade i.e  13 rpm

f = 13 rpm=>= 13 / 60 revolution per second

ω = 2π f =>  2π  x  13 / 60 rad / s

L=[tex]I[/tex] x ω =>106.48 x 10⁵ x   2π  x  13 / 60

  = 144.97 x 10⁵  kgm² s⁻¹    

Visible light travels in air, which has an index of refraction of 1.0. It is incident on plastic which is covered by a coating (such that light hits the coating before the plastic). The coating has an index of refraction of 1.6 and is 0.50 microns thick. The ray reflected off the air-coating interface and the ray reflected off the coating-plastic interface experience interference. What frequencies could the light be

Answers

Answer:

  λ = 0.64 10⁻⁶ m = 640 nm

Explanation:

The two reflected rays experience constructive interference, if we can see them, so we can one condition for interference, but let's see two phenomena that occur

* A ray when it is reflected by a surface of major spare part index has a phase change of 180º, these passes at the air-plastic interface

* A ray when passing a material with a refractive index changes its wavelength

       λ= λ₀ / n

taking into account these facts the condition in constructive interference is

             2 n t = (m + ½) λ

             λ= 2 n t / (m + ½)

if we suppose that we have the first inference m = 0

            λ = 2 1.6 0.5 10⁻⁶ (0 + ½)

            λ = 3.2 10⁻⁶ m

this wavelength is in the infrared

suppose an interference of m = 1

          λ = 1.6 10⁻⁶ / (1 + 1/2)

          λ = 1.06 10-6 m

m = 2

         λ = 1.6 10⁻⁶ / (2 + 1.5)

         λ = 0.64 10⁻⁶ m

this wavelength corresponds to the visible range (640 nm) orange

1. You are playing with a jump rope that is tied at both ends. You untie one end, hold it taut and wiggle the end up and down sinusoidally with frequency 2.00Hz and amplitude 0.075m. At time t=0, the end has a maximum positive displacement and is instantaneously at rest. Assume no wave bounces back from the far end to change the pattern. What is the equation for the displacement of the wave? What is the displacement at a point 3.00m from the end .

Answers

Answer:

[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]

Explanation:

To find the equation of the wave you use the general equation for a wave, given by:

[tex]f(x)=Acos(k x-\omega t)[/tex]

A: amplitude of the wave = 0.075m

k: wave number

you select a cosine function because for x=0 and t= 0 you get a maximum displacement.

To find the displacement of the wave for x=0 you can consider that the form of the wave is independent of time t.

Then, you calculate k:

[tex]k=\frac{\omega}{v}=\frac{2\pi f}{v}[/tex]

Thus, you need the value of the speed of the wave (you only have the frequency f), in order to calculate f(x), for x=3.00m:

[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]

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