A guitar string has a fundamental frequency f. The tension in the string is increased by 1.70%. Ignoring the very small stretch of the string. How does the fundamental frequency change?

Answers

Answer 1

The characteristics of the speed of the waves in strings and the resonance allows to find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

The speed of the chord wave is given by the relationship between the tension and the density of the medium.

          [tex]v= \sqrt{\frac{T}{\mu } }[/tex]  

Where v is the velocity of the wave, T the tension of the string and μ the density

In a rope held at the ends, a process of standing waves occurs, two at the point where it is attached we have a node and a anti-node in the center.

             2L = n λ

Where L is the length of the chord and call the wavelength

Wave speeds are related to wavelength and frequency.

        v = λ f

We substitute.

            [tex]\sqrt{\frac{T}{\mu } } = \frac{2L}{n} \ \ f[/tex]  

For the fundamental frequency n = 1

            f₀ = [tex]f_o = \sqrt{\frac{T}{\mu } } \ \ \frac{1}{2L}[/tex]  

They indicate that the tension increases 1.70%

           T = T₀ + 0.17 T₀

           T = 1.17 T₀

We substitute.

         [tex]f = \sqrt{1.17 } \ \sqrt{\frac{T_o}{\mu } } \ \ \frac{1}{2L}[/tex]

         f = ra1.17 f₀

         f = 1.08 f₀

In conclusion, using the characteristics of the velocity of the waves in strings and the resonance we can find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

Learn more about string resonance here: brainly.com/question/16010929


Related Questions

How can you cause a cart moving to the right at a constant speed to move to the left at a constant speed.

Answers

Answer:

The answer is below hoped it helped

Explanation:

Forces, when unbalanced, cause objects to accelerate. And the direction of the acceleration is the same as the direction of the extra force. Just because an object is moving to the right does not mean there is more right force than left force. Whether the right or the left force is bigger depends on whether the object is speeding up or slowing down. There must be more right force than left force if an object is moving to the right and speeding up. There must be more left force than right force if an object is moving to the right and slowing down.

What is the acceleration of an elevator that weighs 5200 kg with a force of 35 N ?

Answers

Answer:

0.007 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{35}{5200} = 0.006730 \\ [/tex]

We have the final answer as

0.007 m/s²

Hope this helps you

The range of a target is found to be 20km. A shell leaves a gun with a velocity of 500m/s . What must be the angle of elevation of the gun if the ground is level

Answers

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

The shell experiments a parabolic motion, which is a combination of horizontal uniform motion and vertical uniform accelerated motion. If initial height of the shell is the same that its final height, then the range of the shell ([tex]d[/tex]), in meters, is described by the following expression:

[tex]d = \frac{v^{2}}{g}\cdot \sin 2\theta[/tex] (1)

Where:

[tex]v[/tex] - Initial speed of the shell, in meters per second[tex]g[/tex] - Gravitational acceleration, in meters per square second[tex]\theta[/tex] - Angle of elevation, in sexagesimal degrees

If we know that [tex]v = 500\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]d = 20000\,m[/tex], then the angle of elevation is:

[tex]\sin 2\theta = \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{(20000\,m)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\left(500\,\frac{m}{s} \right)^{2}}[/tex]

[tex]\theta \approx 25.840^{\circ}[/tex]

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

To learn more on parabolic motion, we kindly invite to check this question: https://brainly.com/question/1259873

Best definition of an electromagnetic wave?

A) an electromagnetic wave is a longitudinal wave with electricity

B) an electromagnetic wave is a mechanical wave

C) an electromagnetic wave is a transversal wave that has electrical and magnetic properties

Answers

Answer:

Longitudinal and mechanical waves require a medium to support their transmission:

C) is the correct answer

Inertia causes bodies to slow in their motion, unless they’re pushed by a force.
Inertia resists changes to the state of motion of a body.
Inertia decelerates a body.
Inertia is due to friction.

Answers

Answer:

ill go with B

Explanation:

inertia is the ability of a body to remain at rest or in a constant speed in a constant direction when no force is acting on it

Work is required to lift a barbell. How many times more work is required to lift the barbell 2 times as high

Answers

Answer:

2 time

Explanation:

when distance double the work double

what tool had allowed scientists to learn about the characteristics of eaths layers???​

Answers

Answer:

seismic waves

Explanation:

i think thats the answer

How to calculate specific heat.

Answers

Need more information to answer this question

Which of the following correctly describes the law of conservation of matter?
Group of answer choices

A.) Matter can only be created, but not destroyed in chemical equations

B.) Matter can neither be created nor destroyed during a chemical reaction

C.) Matter can be destroyed during a chemical reaction as long as it is created again in a different reaction

D.) Matter makes up 98% of stuff in the universe, so it has to be created and destroyed sometimes

Answers

Answer:

C

Explanation:

Tama Po yan don't worry

What type of watches are used nowadays to measure time? Explain one of
them?

Answers

Answer:

Furthermore, some modern watches (like smart watches) even incorporate calculators, GPS and Bluetooth technology or have heart-rate monitoring capabilities, and some of them use radio clock technology to regularly correct the time. Most watches that are used mainly for timekeeping have quartz movements.

Explanation:

No links plz!!
Why can't we observe the image of a distant object in a concave mirror, but we can observe in a convex mirror? Both images are diminished.​

Answers

Answer:

Light

Explanation:

The way a concave mirror works is that since it's concave, the light bounces off of each other. a convex mirror, it curved the opposite, and the mirror has no way to bounce off of itself.

explain the production of current with the help of a magnet and describe which device works on this phenomena

Answers

Answer:

Explanation:

The properties of magnets are used to make electricity. Moving magnetic fields pull and push electrons. ... Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current.

I’m not sure what this is… help please

Answers

Answer:

A) Slower

Explanation:

    Less / low energy means less / slower speed.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Does the dependenceof the orbital energy on nmake sense in terms of the total number of nodes in each type of orbital?.

Answers

Answer:The 2s orbital different than the 1s orbital because the 2s orbital extends farther from the nucleus than the 1s.

As we move away from the nucleus, the values of the principal quantum number (n) continues to increase.

As the principal quantum number (n) increases, the orbital becomes farther away from the nucleus.

The higher energy orbital are always larger than the orbitals closer to the nucleus.

Hence, the 2s orbital different than the 1s orbital because the 2s orbital extends farther from the nucleus than the 1s.

Explanation:

Will a dead animal decay faster if it died in the hot summer or in the cold winter?

Answers

Answer:

hot summer

Explanation:

it's common sense

Answer:

Hot summer

Explanation:

If the body is exposed to heat then it would decompose faster because the climate is more humid. Whereas if it was in the cold winter then it would decompose slower (not to mention that it could freeze causing it not to decompose at all).

what is the name of the spot where man first walked on the moon

Answers

Answer:

the tranquility base

Explanation:

Voltage ______

Question 1 options:

is measured in Volts


causes current


pushes free electrons around a circuit


all of the choices

Answers

all of the choices.

Explanation:

....

What hazardous wastes are common in ordinary households? What can you do to reduce the impact you make on the environment from the use of hazardous wastes?

Answers

Answer:

The most common products include aerosols, anti-freeze, asbestos, fertilizers, motor oil, paint supplies, photo chemicals, poisons, and solvents, cleaning supplies.

Explanation:

Use homemade cleaners

You can find local retailers to take rechargeable batteries from laptop computers, cordless power tools, cellular and cordless phones, and camcorders at the Rechargeable Battery Recycling Corporation’s website

What is the force that makes planets ring around it? ANSWER IT IF YOU ARE SMART​

Answers

Answer:

gravitational force make the planet move around the sun on its orbit

Answer:

gravitational force makes planets orbit the sun

What unit of pressure in ideal gas law.

Answers

essure is measured in pascals ( Pa ) — sometimes expressed as newtons per square metre ( N⋅m-2 ). These mean exactly the same thing. Be careful if you are given pressures in kilopascals ( kPa ). For example, 150 kPa = 150 000 Pa

Help, please. I am not sure what to do.

Answers

Answer:

option D) -3m

Explanation:

if 6m is diplaced by -3m then it would be -3+6=3m

feel free to ask if you are confused

What type of Energy is an egg that's about to fall out of a nest*

Answers

Answer: Prior to the drop, an elevated egg has a large amount of gravitational potential energy due to its height above the ground. When it is dropped, that the energy is transferred from potential to kinetic.
The answer is potential energy.

Explain and give an example of inertia​

Answers

Answer:

Inertia regards objects staying in rest or in motion unless an outside force alters this.  An example would be kicking a soccer ball.  It was originally still (not moving) on the turf, until your kick altered this and set it into motion.  Similarly, the friction of the turf will alter this state of motion by eventually bring the ball to a complete stop.

boom :)

hope this helps!

What kind of cord is this no links please

Answers

Answer:

if i'm not mistaken that's either a plug in cord for a certain device, or what i am assuming to be a usb software cord.

Explanation:

what are the musical instrument of liturgy and devitional music.


help me plssss​

Answers

Answer:  A hymn which accompanies religious observances and rituals.   And others like guitar, violin, flute, harp and the organ

Explanation: Gradually people instructed the natives not only in singing but also in playing various instruments like guitar, violin, flute, harp and later on, the organ.

Please give an answer that is coherent
A ceiling fan operates at three speeds, using 120 V of electricity from the wall. At low speeds, it uses 0.25 A. Calculate the resistance needed to generate that current. Then in 1-2 sentences, describe how the resistance would change at medium and high speeds if larger currents are needed at those speeds. Your answer should include the calculated resistance and a sentence describing your reasoning.

Answers

Answer:

480

Explanation:

resistance equals to potential difference divide by electric current

120÷0.25

=480

Answer:

[tex]\mathsf {480 \Omega}[/tex]

Explanation:

[tex]\textsf {Formula used for calculating resistance :}[/tex]

[tex]\mathsf {Resistance = \frac{Voltage}{Current} }[/tex]

[tex]\textsf {This is otherwise known as Ohm's Law, hence the unit of resistance.}\\[/tex]

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {R = \frac{120}{0.25}}[/tex]

[tex]\implies \mathsf {R = 480\Omega}[/tex]

[tex]\textsf{If the fan uses higher current at higher speeds, then}\\\textsf{the resistance would decrease as it is inversely}\\\textsf {proportional to the current.}[/tex]

Alejandro Kirk is the catcher for the Blue Jays’ baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m.
Determine is the acceleration of the ball.
Determine the force applied by Alejandro.

Answers

The kinematics and Newton's second law allow to find the results for the questions about the motion of the ball are:

The acceleration is: a = 5.4 10³ m / s² The force is: F = 7.84 10² N

Given parameters

Mass of the ball m = 0.145 kg Ball starts speed vo = 38.2 m / s Setback distance x = 0.135 m

To find

Acceleration The force

Kinematics studies the movement of bodies, looking for relationships between the position, speed and acceleration of bodies.

         v² = v₀² - 2 ax

Wher vo es la initial veloicity, a the acceleration y x is the distance,

When the ball stops the velocity is zero.

         0 = v₀² - 2ax

         a = [tex]\frac{v_o^2}{2x}[/tex]  

Let's calculate

         a = [tex]\frac{38.2^2}{2 \ 0.135}[/tex]  

         a = 5.4 10³ m / s²

Newton's second law establishes a relationship between force, mass, and acceleration of the body.

             F = ma

             F = 0.145 5.4 10³

             F = 7.84 10² N

In conclusion using kinematics and Newton's second law we can find the results for the questions about the motion of the ball are:

The acceleration is: a = 5.4 10³ m / s² The force is: F = 7.84 10² N

Learn more here: brainly.com/question/13536532

Which event happens in a solar cell when the photoelectric effect occurs?
A. Electromagnetic waves strike the transparent glass on the top of
the cell, removing electrons from it.
B. The wave model of light is supported, but the particle model is
not.
C. A current forms when electromagnetic waves strike a
semiconductor, removing some of its electrons.
the
D. Electrons flow from the positively charged semiconductor to
negatively charged one.

Answers

Answer:

current forms when electromagnetic waves strike a semiconductor, removing some of its electrons.

Explanation:

Answer:

current forms when electromagnetic waves strike a semiconductor, removing some of its electrons.

trust me i just did it

Explanation:

A container on the highway with a round hemispherical end is considered a(n) _________ pressure container.

Answers

Answer:

high pressure container

A container on the highway with a round hemispherical end is considered a(n) High-pressure container.

What is pressure ?

Pressure (symbol: p or P) stands the force involved perpendicular to the surface of an object per unit area over which that force exists distributed. 445 Gauge pressure (even spelled Gage pressure) exists the pressure comparable to the ambient pressure.

Various units exist utilized to represent pressure. Some of these derive from a unit of force separated by a unit of area; the SI unit of pressure, the pascal (Pa), Pressure may also be represented in terms of standard atmospheric pressure; the atmosphere (atm) stands equivalent to this pressure, and the tore exists described as 1⁄760 of this.

Hence, A container on the highway with a round hemispherical end is considered a(n) High-pressure container.

Learn more about High-pressure container refer to;

https://brainly.com/question/9451586

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Muốn biểu diễn vectơ lực chúng ta cần phải biết các yếu tố gì

Answers

Một đại lượng vectơ là một lực. Đại lượng vectơ là đại lượng có cả độ lớn và hướng, như chúng ta đã dạy trong phần trước. Bạn phải xác định cả độ lớn (kích thước hoặc số) và hướng của lực tác dụng lên một vật thể để mô tả hoàn toàn nó.

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