When a body moves in a simple harmonic motion, its acceleration at the end of its path is more than that of the acceleration at equilibrium.
The acceleration of the body moving in Simple Harmonic Motion(SHM) is given by,
Acceleration = ω^2 A
Here w is the angular velocity of the body and A is the amplitude.
A is the maximum distance of the body from the equilibrium position.
When the body is at an equilibrium position, its amplitude is equal to zero.
Hence, acceleration = ω^2 x 0 = 0
When the body is at the end of its path, its amplitude is equal to A.
Hence, acceleration = ω^2 x A
Therefore,
when a body moves in a simple harmonic motion, its acceleration at the end of its path is more than that of the acceleration at equilibrium.
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What is the length of RG, if PR=2 and PG=16? P R G
The length of RG, given the data from the question is 14
Data obtained from the questionFrom the question given above, the following data were obtained:
Length of PR = 2Length of PG = 16Length of RG =?How to determine length of RGWe can obtain the length of RG as illustrated below:
Length of PG = Length of PR + Length of RG
Thus,
Length of RG = Length of PG - Length of PR
Length of RG = 16 - 2
Length of RG = 14
Therefore, we can conclude that the length of RG is 14
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If 2 objects at different temperatures are in contact with each other what happens to their temperature
When two objects of different temperatures come into contact with each other, equilibrium is reached and energy is transferred from the hotter object to the cooler object until the objects reach thermal equilibrium (that is, they are at the same temperature).
When one object heats another, the increase in the temperature of one object is not always the same as the decrease in the temperature of the other, because the specific heat of one object is higher than the other.
Objects exchange thermal energy until they are at the same temperature. When two objects with different temperatures come into contact, they eventually achieve the same temperature. This is because of the thermal equilibrium.
Heat Transfer: Heat Transfer from Warmer Object to Cooler Object - When two substances at different temperatures are mixed, heat is transferred from a hotter object to a cooler object until the same temperature is reached (zero law of thermodynamics) - thermal equilibrium).
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How do atoms behave in cold and hot temperatures
In cold:
An object's temperature is a measure of how much its atoms move — the colder an object is, the slower the atoms are.
In heat:Heating a substance makes its atoms and molecules move faster. This happens whether the substance is a solid, a liquid, or a gas.
The writer is considering adding the following sentence after sentence 9. Indeed, kane persuasively argues that diplomacy works best "if we bring it down to our individual communities and the people in the communities. " should the writer add this sentence after sentence 9 ?.
Yes, because it incorporates a second clarifying quotation from the expert, adding more weight to the argument presented in phrase 9.
Within a group of diplomats, negotiations and bargaining essentially consist of trying to get more than you are likely to get by negotiating, and eventually reaching a compromise. On occasion, foreign officials will join ongoing negotiations for assistance. Because it advances the interests under its purview and strengthens nations, states, and organizations, diplomacy is significant. The primary tool of foreign policy, which stands for the more general objectives and plans that direct a state's relations with the rest of the world, is diplomacy. Diplomatic negotiations and processes typically lead to international treaties, accords, alliances, and other manifestations of foreign policy. Diplomats may also provide government with advice to assist form a state's foreign policy.
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Suppose you measured the acceleration due to gravity and got a value of 10.1 m/s2. if the accepted value is 9.81 m/s2 , what is the percent error in your measurement (absolute value only)?
The percent error in your measurement is 2.95 % error.
here it is for the reason that the actual value is 9.81 [tex]m/s^{2}[/tex].
And the calculated value is 10.1 [tex]m/s^{2}[/tex].
Error = 10.1-9.81
= 0.29
Now percentage error = [tex]\frac{0.29}{9.81}*100[/tex]
= 2.95 %
So, the required error is 2.95 percent.
To degree the percent errors within the given records we should have the idea of percent and error calculation.
To measure the error we should calculate the difference in the real price and the calculated fee.
And to calculate the proportion we ought to divide the received error cost by using the actual price and multiply by means of a hundred.
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How does the working distance of a microscope chnage when you increase the magnification?
By switching to a higher power objective lens, the working distance is shrunk while the overall magnification increases.
What is working distance of a microscope?
Working distances for high-power oil immersion objectives can be as low as 0.1 mm and as high as 50 mm for dissecting or stereo microscope objectives. As magnification, resolution, and numerical aperture rise, it falls. Most microscope objectives are made with limited operating distances in mind.
By switching to a higher power objective lens, the working distance is shrunk while the overall magnification increases. On the other hand, lowering the total magnification while extending the working distance by adding a reduction objective.
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a car has wheels with a 12 inch radius. if each wheel's rate of turn is 5 revolutions per second, find the angular speed in units of radians/second.
The angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.
Angular speed of the car's wheel
The angular speed of the car's wheel is calculated as follows;
ω = 5 rev/sec
Convert the angular speed in revolutions per second to radian per second.
ω = 5 rev/sec x 2π rad/rev
ω = 10π rad/sec
ω = 31.42 rad/sec
Thus, the angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.
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Frank wright is a stereo buff who will go to great lengths when making stereo equipment purchases. He believes having the right equipment is important because he wants to impress the people who will see the stereo when they visit his home. If you were the marketing vp for quality electronics, inc. And your market was primarily made up of people just like wright, which influence source would you most likely build into your promotional messages?.
reference group influences source would most likely build into your promotional message
Promoting something is all that promotional messages are. However, the secret to a successful promotional message is to avoid being overly pushy. What does "salesy" mean? messages that are unclear in terms of their value to a customer Messages that seem to be excessively promotional messages that lack a distinct call to action excessively capitalizing phrases or using buzzwords like "free" As we hinted at previously, several cell carriers discourage the usage of the word "free" and the capitalization of whole words when it comes to text marketing (TODAY, SALE, SIGN UP). The various phone providers may consider such approaches to be spam and limit their use. Your number might consequently be blocked, which would seriously hinder your capacity to converse.
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a loudspeaker at the origin emits a 130 hz tone on a day when the speed of sound is 340 m/s. the phase difference between two points on the x-axis is 5.2 rad .
According to the given question distance between these two points is 1.971m.
What do you mean by distance?The distance can be a literal length as defined by physics or a general estimation based on other variables. It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.
According to the question:
speed=frequency*wavelength
wavelength = 340/140 =2.428 m
phase difference=2pi× x/lamda
x=5.1*2.428/(2*pi)
x=1.97m
since v= f × wavelength
where v = speed of sound and f = frequency
therefore wavelength = v/f = (340)/140 = (17/7)m
now, since Phase angle = (2×pi/wavelength)×shift
or, shift = phase angle × (wavelength/2×pi) = 5.1 × ((17/7)/2×pi) = 1.971m
Hence, the distance between these two points = 1.971m
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The advantage of using the scientific method is that
A: it's cautious building of evidence-based understanding is dependable and logical.
B: it's random way of trying everything covers all options
C: any evidence in disagreement with a theory can be thrown out.
D: continual testing leads to mistakes being made.
The correct option is A.
The advantage of using the scientific method is that it is having a well-cautious building of evidence-based understanding that is dependable and logical.
The scientific method includes rigorous observation in addition to logic as a system of reasoning for organizing but for deducing beyond what is known from observation. Induction, prediction, and analogy are only a few examples of different reasoning techniques.
Evidence, as used in legal contexts, is generally defined as information, facts, or data that supports (or refutes) a claim, assumption, or hypothesis. In reality, anything could qualify as proof provided it is deemed to be true, trustworthy, and pertinent.
Although scientists frequently utilize evidence in other ways, such as when applying ideas to real-world issues, scientific evidence is evidence that helps to either support or refute a scientific theory or hypothesis.
Generally speaking, scientific evidence is founded on the knowledge that has been acquired via the application of the scientific method. This indicates that the evidence's underlying assumptions have undergone testing and general acceptance in the scientific community.
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What is the quantum number n of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2?
The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.
What is quantum number?
The collection of numbers known as quantum numbers is used to describe an electron's position and energy in an atom. The four categories of quantum numbers are primary, azimuthal, magnetic, and spin quantum numbers.
Given that,
Eₙ = 2h²/mL²,
The equation for the energy of a particle of mass m confined to a one-dimensional box of length L is given by:
[tex]E_n = \frac{n^{2} h^{2}}{8mL^{2}}[/tex],
Equating this equation with the energy given in the question.
i.e. Eₙ = 2h²/mL².
We get,
[tex]\frac{n^{2} h^{2}}{8mL^{2}} = \frac{2h^{2}}{mL^{2}}[/tex]
[tex]\frac{n^{2}}{8} = 2[/tex]
[tex]n = \sqrt{16}[/tex]
n = 4
Therefore,
The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.
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State the sub particles of atoms and name and change
Answer:
proton = charge is + (positive charge)
neutron = charge is 0 ( no charge - neutral)
electron = charge is - (negative charge)
hope this is what you meant :)
How long will it take for 10% of the u−238 atoms in a sample of u−238 to decay?
it will take around 1,448 billion years for U-238 atoms to decay.
What are radioactive materials?When a radioactive nucleus spontaneously releases excess energy, that energy is referred to as ionizing radiation. radiation from ions may manifest as alpha or beta particles. either gamma rays or particles. The action of Radioactive means to emit radiation.
U-238 has a radioactive half-life of 4.5 billion years, which is independent of the original concentration.
c₀ - initial concentration of U-238.
c - concentration of U-238 remaining at the time.
t = 4,5·10⁹ y.
First, calculate the radioactive decay rate constant λ:
λ = 0,693 ÷ t = 0,693 ÷ 4,5·10⁹ y = 1,54·10⁻¹⁰ 1/y.
ln(c/c₀) = -λ·t₁.
ln(0,8/1) = -1,54·10⁻¹⁰ 1/y · t₁.
t₁ = 1,448·10⁹ y.
Therefore, it will take around 1,448 billion years for U-238 atoms to decay.
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4. The diagram shows two forces of 5 N and 8 N acting at 120° to each other. Calculate the resultant of these two forces and state its direction relative to the 5 N force. Illustrate your answer with an appropriate vector diagram.
The magnitude of the resultant force is 11.4 N.
What is the resultant force?The resultant force is the force that has the same effect both in magnitude and in direction as the two or more forces acting at the same time. We know that force is a vector quantity, this implies that both the magnitude and the direction of the force are all important. This is why we have to factor in the direction of the force at all times.
Now, we can see that, it is possible to obtain the resultant force from the parallelogram law of vectors. We can see that;
R = √ P^2 + Q^2 - 2PQ Cos θ
P = 5 N
Q = 8 N
θ = 120°
R = √(5^2 + 8^2 - (2 * 5 * 8) cos 120
R = 11.4 N
The direction of the 5N force is obtained as;
Tan^-1 (8/5)
= 58 degrees
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What is the relationship between a boats volume and the amount of mass it can hold
The relationship between a boats volume and the amount of mass is known as Archimedes' principle
Archimedes' principle states that an object displaces its personal weight in a liquid.
So calculate the weight of the boat from the mass. Calculate the quantity of liquid that has this equal weight. that is the quantity of boat underneath the waterline.
Divide that variety with the aid of the vicinity of the boat (duration instances width). this is the depth the boat sinks to.
what is Archimedes principle in easy words?
Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force identical to the burden of the displaced fluid. that is a primary condition of equilibrium. We take into account that the above force, referred to as pressure of buoyancy, is placed in the centre of the submerged hull that we name centre of buoyancy.
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what celestial bodies stay close to the ecliptic (astrology)
The Sun, Moon, and planets are the celestial bodies stay close to the ecliptic.
What are called celestial bodies?Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. They are typically very far away from us and are a part of the vast universe we inhabit. The heavenly bodies are primarily seven celestial bodies.
Celestial bodies in our solar system :The Sun, our star, and just about everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and millions of asteroids, comets, and meteoroids, compose our solar system.
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a computer's power supply converts mains ac to low-voltage regulated dc power for the internal components of a computer. you are building a new computer. you are deciding which type of power supply to install. which of the following definitions best describes a valid type of power supply?
In order to prevent overloading of any circuit, dual rail electrical supply includes independent tracks and P C B traces that are used to offset voltage sags between various circuits.
Using conductive paths, tracks, or signal traces etched from copper sheets laminated onto a non-conductive substrate, a printed circuit board, or PCB, is used to mechanically support and electrically link electronic components.
Semiconductors are used by practically all inverters to generate a controlled power output. An input voltage is rectified if the source has an ac input.
It is, therefore, the proper response.
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Suppose you take trips that covers180km and take 3hours to make your average speed is
Explanation:
average speed= distance/time
=180÷3
=60 km/h
An unmanned satellite orbits the earth with a perigee radius of 10,000 km and an apogee radius of 100,000 km. at how many locations in the orbit is the altitude 10,000 km?
At one location in the orbit, the altitude is 10,000 km.
What do apogee and perigee mean?Its perigee is the monthly location where it comes closest to Earth (this varies throughout the year).
The Moon’s apogee is the location where it is each month when it is the furthest away from Earth (this varies throughout the year as well).
What is the Earth’s apogee?The location on an object’s orbit around the earth that is furthest from the planet’s core, such as a satellite.
The distance at which an object orbiting a planet or satellite (like the moon) reaches that point.
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If a rolling ball had 18 joules of KE and is rolling 3 m/s, what is the mass?
Answer:
4Kg
Explanation:
1/2mv²=K.E
1/2m×3²=18J
1/2m×9=18
9m=18×2
9m=36
m=36/9
m=4Kg
Answer:
F=MA FORSE= MASS X ACCELERATION
Explanation:
So the answer should be 54 as 18 X 3 = 54
( I read the question wrong)
how far would it be from the milky way galaxy to the most distant galaxies in the observable universe on this scale?
The two marbles are separated by around 133 m or 30 vehicle lengths.
It is possible to determine the distance between our marble and the most distant galaxies in the universe by first comparing the size of the Milky Way Galaxy to that of a marble.The Milky Way Galaxy is just around 2,000 LY (Light Years) thick and roughly 100,000 LY (Light Years) wide.
Let's continue using the conversion of:
1 cm = 100,000 LY
The Andromeda and Triangulum galaxies are two of the noteworthy members of the Local Group, a collection of galaxies nearby to our own. On this scale, we can assume that distance from Earth and distance from the edge of the Andromeda Galaxy are approximately 2.5 MLY (2.5 Million Light Years) apart.The galaxy spans about 220,000 LY. So let's determine where to place this marble:
2,500,000/100,000 = 25 cm
We may lay a marble to symbolise the Andromeda Galaxy that is nearly twice the size of our Milky Way Galaxy marble at 25 cm.
We can see farther as our observational equipment advances. A galaxy 13.3 BLY distant is the furthest object Hubble can currently observe .
So let's try placing the marble here:
13,300,000,000/100,000 = 13,300cm = 133m
To put this into context, the two marbles are separated by around 30 vehicle lengths.
See the reference pic below:
The complete question is: In a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter), how far would it be from the Milky Way Galaxy to the most distant galaxies in the observable universe on this scale?
A cyclotron with a magnetic field of 0.36 t is designed to accelerate protons in a circle with a radius 0.56 m. what is the angular frequency of the proton? answer in units of rad/s.
The angular frequency of the proton which is cyclotron with a magnetic field of 0.36t is 4.31 x 10⁷ rad/s .
What is magnetic field ?The electromagnetic force, one of the four fundamental forces of nature, is the origin of the magnetic force, which is produced by the movement of charges. Any two charge-containing objects travelling in the same direction are attracted to one another magnetically.
The electromagnetic force, one of the four basic forces of nature, produces the magnetic force, which is caused by the movement of charges. A magnetic attraction draws two charge-containing objects together when they are moving in the same direction.
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determine the design angle ϕ ( 0 ° ≤ ϕ ≤ 90 ° ) ϕ(0°≤ϕ≤90°) between members ab and ac so that the 400-lb horizontal force has a component of 600 lb which acts up to the right, in the direction from b toward a. also calculate the magnitude of the force component along ac. take
The magnitude of the force along ac is 322.97 lb and the design angle of the system is ϕ = 38.26°
The Given problem can be solved on the Parallelogram law of vector addition and law of sines,
from the figure, we can write
F = √(400² + 600² - 2(400 × 600)cos 30)
F = 322.97 lb
In order to get the design angle, we will solve by:
(sinϕ)/(sin 30) = 400/322.97, where ϕ is the design angle.
therefore
sinϕ = (400/322.97) × sin 30
sinϕ = 1.2385 × 0.5
sinϕ = 0.61925
ϕ = sin^(-1) 0.61925
ϕ = 38.26°
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A skydiver with a mass of 70 kg accelerates to Earth at a rate of 9.8 m/s2 due to gravity. What is the force on the skydiver? Explain how you determined the answer and its units.
Explanation:
GIVEN DATA
Mass=70kgAcceleration =9.8m/s2RTF=Forcesince P(momentum)=Mass×Velocity
SOLUTIONFROM NEWTONS SECOND LAW OF MOTION ,F = △P(change in momentum) t(time)F = P2 -P1
t
F= Mv2-Mv1
t
F=M( v2-v1) ,(a=v2-v1)
t t
F= m×aF= 70 × 9.8F= 686 N
ANSWER EXPLANATION IN WORDS
That question is related to Newton's second law of motion, the question ask you to find the force it gives you a mass and a acceleration As we know that the SI unit of acceleration is newton per kilogram or metre per second square It is correct to write metre per second square instead of Newton Per kilogram because because all of them are the SI unit of acceleration so that is the answer we get 686 Newton by Force .
if a subway train is moving to the left and then comes to a stop, what direction is the acceleration
The subway train is moving to the left and then comes to a stop, what direction is the acceleration will be towards right and will be positive.
The train comes to a stop, this means that the velocity gradually decreases. Hence, the acceleration must be positive and points towards the right.
velocity and acceleration:
velocity is the charge of alternate inside the position of an object, at the same time as acceleration is the rate of trade of the fee. consider the movement alongside a line. If the velocity and acceleration are in the same route, then the charge constantly will growth in time. inside the meantime, if the speed and acceleration are in contrary instructions, then the rate steadily decreases to 0 speed, reverses route, and now the velocity is in the identical path of the acceleration.
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the length of the eye and the curvature of the cornea determine the refractive error of an eye. hyperopia, or farsightedness, is produced by a shorter-than-normal eye.
True, the length of the eye and the curvature of the cornea determine the refractive error of an eye. Hyperopia, or farsightedness, is produced by a shorter-than-normal eye.
What is Hyperopia?With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.
Your ability to focus is influenced by how farsighted you are. People with severe farsightedness might only be able to see objects that are far away clearly, whereas people with mild farsightedness might be able to see objects that are nearby clearly.
SymptomsBeing farsighted can mean:
Nearby objects might seem hazy
Squinting is required to see clearly.
You experience eye pain or discomfort around the eyes as well as eyestrain.
After performing close work, such as reading, writing, using a computer, or sketching, for a while, you have general eye discomfort or a headache.
A distortion of focusYour cornea or lens must be uniformly and smoothly bent to allow light to pass.
You have a refractive error if your cornea or lens are not uniformly and smoothly curved, which causes improper light refraction.
When your cornea is overly flat or your eyeball is shorter than normal, you develop farsightedness. Nearsightedness has the opposite impact.
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How frequently should the product owner re-iterate the product vision to the scrum team?
For a project to be successful, the product owner should invest somewhere between 60 and 100 percent of their time and effort in it.
In many aspects of product development, the scrum product owner assumes leadership. They will eventually need to use their extensive market knowledge to plan and communicate their vision to stakeholders. They will have to put on their developer hats one more time in order to assist the team in achieving its sprint objectives. Depending on the technical and commercial factors of the situation, different levels of frequency are ideal, but generally speaking, one release every four to six iterations would be regarded as the maximum.
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(15 points) a 4000-w electric resistance heater is heating water in an insulated, constant diameter tube. if the water enters the heater steadily at 315 k and leaves at 360 k, determine the mass flow rate of water in kg/s.
The mass flow rate of water is 0.087 Kg/s.
Contact tube diameter means no pressure head drop.
P=C heating done at P=C.
MC(T₁ - T₂) = Q = W
M × 1.015 (360-315) = 4000
M = 4000 / 1.015 × [tex]10^{3}[/tex] × 45
M = 0.087 Kg/s
Pressure is defined due to the fact the pressure of all the gasoline particle/wall collisions divided thru the vicinity of the wall: All gases exert strain ; it's far one of the important measurable portions of this phase of depend.
From the weather to air tour, strain performs a dramatic position in our lives. It plays especially vital roles at some point of chemical reactions. through manipulating stress, chemists can pressure chemical reactions to occur and the transitions among solids, beverages, and gases to boost up.
The primary unit of pressure is the pascal, described because the stress exerted with the useful resource of a pressure of one newton perpendicularly upon a place of one square meter.
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what is the wavelength of an earthquake that shakes you with a frequency of 11.1 hz and gets to another city 93.0 km away in 14.0 s?
The correct answer is 598.4m
Two key elements in describing a wave's nature are its wavelength and frequency. Wavelength is essentially a measurement of the separation between two adjacent wave crests or troughs. It is always calculated in the direction of the wave, and the sign for it is. Given that it is a measurement of distance, it is stated in terms of metres.
Frequency: The number of times a particle vibrates during a sound wave's passage through a medium is referred to as frequency. The total amount of vibrations that occur within a certain period of time is the frequency.
Wavelength: The distance between two successive curve crests or troughs is known as a wavelength. The distance between the crests and troughs of a high-frequency wave is smaller than that of a low-frequency wave, and vice versa.
s=93km=93000m
f=11.1hz
t=24.43 sec
λ=v/f
λ=s/ft
λ=93000/(11.1)(14)
λ=93000/155.4
λ=598.4m
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The density of aluminum is 2700 kg/m3. if transverse waves propagate at in a aluminum wire, what is the tension on the wire?
The tension on the wire is 52.02N.
Using the formula:
[tex]v = \sqrt{\frac{T}{u} }[/tex]
where, v = speed of sound wave
T = tension in wire
μ = mass per unit length
The area of aluminium wire is : [tex]\frac{\pi d^{2} }{4}[/tex]
Area = 1.66×[tex]10^{-5}[/tex][tex]m^{2}[/tex]
and μ = ρA = 2700×1.66×[tex]10^{-5}[/tex]
μ = 0.045kg/m
Therefore, tension is :
[tex]v = \sqrt{\frac{T}{u} }[/tex]
[tex]34^{2} = \sqrt{\frac{T}{0.045} }[/tex]
Solving for T we get, T = 52.02N.
Therefore, the tension on the wire is 52.02N.
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