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

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Related Questions

If you pass an electric current through an iron nail, you will create an electromagnet. This magnet will pick up small objects, thus demonstrating that electrical energy can be converted into mechanical energy. Is there a way to use this principle to create a motor?

Answers

An iron nail, when it loses its magnetism, often iron behaves as a magnet when electric current flows only through the coil of insulated wire wrapped around it. There is therefore, a way to use this principle to create a motor.

An electromagnet is said to be created if a known current is passed through a coil of wire gathered around an iron nail.

The principle is often used to make an electric motor by creating a  current that is moving coil into a movable core that is attached to a spring.

If a current flows through a wire, electrical energy is said to be converted into different kinds of energy such as  heat in a heating element, etc. The electric current could also be transformed or made to create a mechanical energy, which is what happens in an electric motor.

A motor is simply known as a generator working in reverse. This can be liken to a motor when a wire is put in between the two paper clips that are connected to the battery.

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Find the displacement in the time interval 3 seconds to 4 seconds
A. 1m
B.3m
C.7m
D.9m

Answers

Answer:

B. 3m

Explanation:

Took the quiz.

Hope this helps!!

Compare the amplitude of these waves.

help?

Answers

Answer:

The greater the amplitude of a wave then the more energy it is carrying.

Explanation:

E is carrying the most energy which means that it has the highest amplitude

A has the least energy because it has the lowest amplitude

A marble is launched at by dropping it through a marble launcher. The marble took 0.22s to land 0.31m from
where it was launched. Find the horizontal velocity of the marble as it rolls off the table.

A. 1.4m/s
B. 0.53m/s
C. 0.71 m/s
D. 0.07m/s

Answers

Hi there!

For projectile motion, the horizontal and vertical components are SEPARATE.

We can use the kinematic equation to solve:

dₓ = vₓt

We can rearrange to solve for vₓ:

dₓ/t = vₓ

0.31/0.22 = vₓ

vₓ = 1.4 m/s ⇒ A

An "energy bar" contains 26 ggof carbohydrates.How much energy is this in joules?

Answers

I’m it’s about 3.4878 energy in joules

write two example in which chemical energy is converted into heat energy ​

Answers

Answer:

batteries in an electric heater, a nuclear power plant

Explanation:

sorry if it wrong g

whats 1+0 n3rje'hefruhhhhhhhhhhhhhhhhhhhhhhhhtrrrrrrrrrrrrr

Answers

Answer:

1

Explanation:

cause 1+0=1

the definition of convetion

Answers

the defintion of convetion is ( the movement cuased within a fluid by the tendency of hotter and therefore less dense msterial to rise, and colder, denser material to sink under the influence of gravity


During a test, a solution placed on a sheet
of metal creates bubbles. This solution is
most likely
A. Acidic
B. Neutral
C. Basic

Answers

Answer:

B. Acidic

Explanation:

Neutral an Basic solutions wouldn't create any reaction

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

Reaction of metals with acid

Acid reacts vigorously with metal, displacing hydrogen gas in the process and this process creates bubbles of gases trying to escape from the solution.

Metals do not react basic and neutral solutions.

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

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What is the mass, in kilograms, of a large dog that weighs 441 newtons?​

Answers

Answer:

441 Newtons equals 44.97 kilograms.

Surface ocean currents are generated MOSTLY by A) wind. B) tides. C) water density. D) the Coriolis effect.

Answers

Answer:

I think it's D) the Coriolis Effect

Explanation:

Answer: THE ANSWER IS D) the Coriolis effect.

Explanation: I GOT A 100 ON THE TEST

State one advantage and disadvantage of friction

Answers

Answer:

Advantage: Helps us to walk without slipping.Helps machines work

Disadvantage:

We slip on a wet floor.Causes the smoothness of tires and smoothness of shoes soul.

What is the frequency of light having a wavelength of 4. 50 x 10-6 cm.

Answers

The frequency of a photon of red light with wavelength 4.50 x 10−7m is 6.67 x 1014Hz.

1. Shelly pushes a .0035 kg marble with
a force of .07.N.

Answers

Answer:

pressure= force/area

Explanation:

pressure= 0.07/0.0035

             = 20 pascal

when you hold a spherical concave mirror with a 48.2-cm radius of curvature in front of your face, you see an image of your face that is 61.8 cm in front of the mirror. what is the distance between the mirror and your face?

Answers

The distance between the mirror and your face is 39.5 cm

Using the mirror formula 2/r = 1/u + 1/v where r = radius of curvature = - 48.2 cm, u = distance between mirror and your face = object distance and v = distance between image and your face = - 61.8 cm. The distances are negative since the image is in front of the mirror and distances to the left of the mirror are negative.

So, making u subject of the formula, we have

2/r = 1/u + 1/v

1/u = 2/r - 1/v

1/u = (2v - r)/rv

u = rv/(2v - r)

Substituting the values of the variables into the equation, wse have

u = -48.2 cm × -61.8 cm/(2 × -61.8 cm - (-48.2 cm))

u = 2978.76 cm²/(-123.6 cm + 48.2 cm)

u = 2978.76 cm²/-75.4 cm

u = -39.51 cm

u ≅ -39.5 cm (The distance is negative since it is in front of the mirror)

So, the distance between the mirror and your face is 39.5 cm

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Can anyone help me with this question? I’ll give BRAINLIEST to whoever answers first

Answers

Answer:

a) F = 84.64N

b) The force has to increase.

Explanation:

First of all, let's convert everything to the same unit system:

Vo = 0 m/s    Vf = 98 mi/h * 1609.34 m / 1mi * 1h / 3600s = 43.8m/s

d = 1.7m         m = 0.15kg

We can calculate force as:

F = m*a    where a is the acceleration experiencd by the ball and m is its mass.

In order to calculate acceleration, we can use this formula:

   Solving for a:

Now, the force will be:

F = m * a = 84.6N

As we can see in that previous equation, the force is directly proportional to the mass of the ball, so, assuming the final speed of the ball is the same as before (that is, the acceleration is the same), the force will increase in the same proportion as the mass does.

an object initially moving with 12m/s accelerates uniformly by3m/s^2 for 10 seconds how far does it travel in first 7 seconds​

Answers

Answer:

157.5

Explanation:

X=vi *t + 0.5*a*t^2

vi=12, t=7, a=3

x= 12*7 + 0.5*3*7^2

= 84+ 73.5= 157.5 m

what is the meaning of physics​

Answers

Answer:

the branch of science concerned with the nature and properties of matter and energy. The subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms.

Explanation:

Saturn’s moon titan has a mass of 1.35 × 10^23 kg. if titan is 1.19 × 10^6 km from saturn, and saturn’s mass is 5.86 × 1026 kg, what is the gravitational force between saturn and its moon?

Answers

Answer:The gravitational force equation is Fg=(G*M*m)/r² where, G is the gravitational constant, G=6.67*10^-11 m³/kg*s², M is the mass of Saturn, M=5.86*10^26, m is the mass of Titan, m=1.35*10^23 and r is the distance, r=1.19*10^6 km=1.19*10^9 m. Now we simply input the numbers into the equation:

Fg=(6.67*10^-11)*(5.86*10^26)*(1.35*10^23)/(1.19*10^6)²

Fg=(5.277*10^39)/(1.41*10^18)=3.743*10^21 N  

The correct answer is the third one.

Explanation:

In a hydraulic press a force of 200N is applied to a master piston of area 25Cm2.if the press produces 500N determine the area of the piston.​

Answers

Answer:

625                                      GIVE ME BRAINLIEST ANSWER PLEASE

Explanation:

This question is based on pascal's Law.

So By Pascal's Law

=

therefore  =force on input piston =200N

                 = Force on output piston = 5000N

therefore after putting the values we get,

a)  = (25x 5000)/200

    = 625

b) area of the salve piston =  = 625

so  = 625/3.14 = 199

so     r =    = 14.10 cm

How to find frequency.

Answers

Answer:

Divide the number of times an event occurs by the duration of time to calculate frequency. For instance, Anna divides the number of webpage clicks (236) by the time spent on the site (one hour, or 60 minutes). She discovers that she gets 3.9 clicks every minute.

Explanation:

does this help?

how do humans affect the lithosphere

Answers

By farming, building structure, mining and all manner of activities that change the original.

true or false

as mass increases the gravitational force decreases​

Answers

The answer to this question is true I believe
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

Suppose you were able to take measurements of current through the
resistor and voltage across the resistor. Your record of numerical values is written in a

tabular data below​

Answers

Answer:

  see attached

Explanation:

It will be easier to plot the data if you have grid lines to work with.

In the attached, we had to reverse the order of entries in the table, because the graphing program likes the independent variable listed first.

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:

I need help ASAP pls be right sn know what your doing

Answers

Answer: Biology

This is because the first two make no sense and physics is the study of matter and energy. Biology, however, studies the life of plants and animals, which can be used for renewable energy.

what is potentiometer​

Answers

Answer:

potentiometer is a device used to measure potential difference across the circuit

A block of weight W is pulled a distance L along a horizontal table. The work done by the weight is ?

Answers

Work = Force x distance.
Distance = L

Force = mass x acceleration
Work done = FL
Work done = maL

The difference in particle size of the soil constituents determine its texture.​

Answers

Answer:Soil texture depends on the size of individual soil particles and is determined by the relative proportions of particle sizes that make up the soil. The texture affects the amount of water that can be absorbed for use by plants and animals.

Explanation:

4. Analyze: Drag this tile to the green strip. Turn on Show results.
A. What units are given to the right of the equals sign? _ 11,000
B. Why didn't the units cancel in this case? The tile is not fupped
C. What do you think you could do to make them cancel?

Answers

The answer is going to be A
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