A string of density 0.01 kg/m is stretched with a tension of 5N and fixed at both ends. The length of the string is 0.1m. What is the first four resonance frequencies in the string?

Answers

Answer 1

Answer:

The first four resonance frequency in the string are;

1) 50·√50 Hz

2) 100·√50 Hz

3)150·√50 Hz

4) 200·√50 Hz

Explanation:

The given parameters of the string are;

The density of the string, ρ = 0.01 kg/m

The tension force on the string, T = 5 N

The length of the string, l = 0.1 m

Therefore the mass of the string, m = Length of string × Density of the string

∴ m = 0.01 kg/m × 0.1 m = 0.001 kg

The formula for the fundamental frequency, f₁, is given as follows;

[tex]f_1 = \dfrac{\sqrt{\dfrac{T}{m/L} } }{2 \cdot L} = \dfrac{\sqrt{\dfrac{T}{\rho} } }{2 \cdot L}[/tex]

Where;

f₁ = The fundamental frequency in the string

T = The tension in the string = 5 N

m = The mass of the string = 0.001 kg

L = The length of the string = 0.1 m

ρ = The density of the string = 0.01 kg/m

By plugging in the values of the variables, we have;

[tex]f_1 = \dfrac{\sqrt{\dfrac{5}{0.01} } }{2 \times 0.1} = 50 \cdot \sqrt{5}[/tex]

The first four harmonics are;

f₁, 2·f₁, 3·f₁, 4·f₁

Therefore, we have the first four resonance frequency of the string are as follows;

1 × 50·√50 Hz = 50·√50 Hz

2 × 50·√50 Hz = 100·√50 Hz

3 × 50·√50 Hz = 150·√50 Hz

4 × 50·√50 Hz  = 200·√50 Hz


Related Questions

A man pushed the box with a force of 20 N. He doubled his force to 40 N. The box did not
change. Which option best describes the acceleration of the box after the force was doubled?

a) Acceleration is 2x the original acceleration

b) Acceleration is 4x the original acceleration

c) Acceleration is 1/2x the original acceleration

d) Acceleration is 1/4x the original acceleration

Answers

Answer:

A

Explanation:

if the man doubles his force to 40 and the box was yet to move that means acceleration also doubled so your answer would be A

Which of the following is NOT a function of the skeletal system?

A. Support your body
B. Give shape to your body
C. Bring oxygen to your body
D. Protect your body​

Answers

D
Hope this helps
And
I think the answer is D

PLEASE HELP Because of the theory of the Principles of Trace Evidence, what belief are forensic scientists guided by when investigating a crime scene?

Answers

Answer:

The Principles of Trace Evidence state that when something comes into contact with something else there is always a trace left behind. This tells forensic scientists that there will always be evidence of someone being present at a crime scene, they just have to find it.

Explanation:

sources: dude trust me

(Conservation of Momentum)
Consider a 2,000 kg car traveling 10 m/s toward another car.After the two cars collide, they couple together and move along at 6 m/s. What is the mass of the second car?
Can someone please solve and explain,I don’t understand:/

Answers

Answer:

I haven't learnt physics at all yet but I'll try.

After the two cars collide, they move at 6 m/s.

This tells us that the 2nd car which collided with the first car which is 2000 kg is much heavier than the 1st one, if the second one was lighter, the two cars coupled together speed would be much more than just 6 m/s.

Refer to explanation for working.

Explanation:

Now find out how much g or kg is the 2nd car more than the 1st.

2000 ÷ 10 = 200 (I don't really know how to explain this part)

10 - 6 = 4 (Difference for 1st car average speed per second and the coupled cars average speed per second)

200 x 4 = 800

2000 + 800 = 2800 kg

(Final answer)

PLS, THIS IS URGENT!! Read the following passage that explains the image you examined at the beginning of the lesson in order to answer the following question. Why is it important to have a range of tools that can measure all parts of the electromagnetic spectrum?
I would give the BRAINLIEST for the best answers!!!

Answers

Answer:

It is important to have a range of tools that can measure all parts of the electromagnetic spectrum because electromagnetic spectrum have different radiations such as infrared, visible light, ultraviolet, radio waves, microwaves, X-rays and gamma rays. Each of these radiation requires different instrument for their measurement. So that's why a range of tools are needed to measure electromagnetic spectrum.

if a truck driver is driving at 30 mph and she makes a U-turn, then starts driving at 30 mph in the opposite direction, did the driver's speed or velocity change after changing direction? Why?
PLEASE THE QUIZ IS DUE IN A BIT :(

Answers

The velocity of the truck changed after changing direction because, velocity is a vector quantity.

What is meant by velocity ?

Velocity of an object is defined as the rate of change of displacement of the object.

Here,

The the truck driver was driving at 30 mph and when she makes a U-turn, she starts driving at 30 mph in the opposite direction.

The quantity that changed during this change in direction is its velocity.

The speed of the truck will not change due to the change in direction because, speed is a scalar quantity.

But the velocity of the truck is changed due to the change in direction because, the velocity is a vector quantity.

A vector quantity is a quantity that has both magnitude and direction.

Hence,

The velocity of the truck changed after changing direction because, velocity is a vector quantity.

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3. If the net work done on an object is negative, then the object's kinetic energy
a. decreases.
b. remains the same.
c. increases.
d. is zero.

Answers

Answer:

I think the answer is B I hope this helps also Im sorry If I'm wrong

Someone is traveling from Houston, TX to Dallas, TX. It takes 4 hours to make the 224mile trip. What is his velocity?

Answers

224/4 and you get 56mph

A jet play sits on the runway and then rapidly accelerates does it go to potential to kinetic energy?

Answers

kinetic energy because it's moving

If the ball rolls out of bounds on the sideline in soccer, what is the result?

a.Free Kick
b.Goal Kick
c.Throw-In
d.Corner Kick

Answers

the answer for this problem is C

A scientific theory is_____.
A. A well-tested explanation for a broad set of observations
B. A well-tested explanation for a widely accepted hypothesis
C. A proven explanation for the results of multiple experiments
D. A hypothesis that has stood the test of time

Answers

Answer:

B. A well-tested explanation for a widely accepted hypothesis

Explanation:

This is true about a scientific theory going by the fact of it being a well tested explanation. For example, in one of the Newtons law of motion which he stated to be "To every action, there is equal and opposite reaction", the hypothesis has been known till he was able to offer a well tested explanations with calculations showing that, it was actually true.

Heat flows from hotter regions of an object to cooler regions of
an object. True or false?

Answers

Answer:

true

Explanation:

Answer:

True

Explanation:

If too much energy is given to an electron that is above the threshold
frequency what happens to the extra energy?

Answers

Answer:

The electron gives up It's extra energy in a form called "photon light" and falls back down to its normal energy level

Explanation:

Suppose you bake a potato in a toaster oven that uses 1.2 kW. The oven is turned on for 25 minutes. How many kilowatt hours did it use?

Answers

Answer:

0.3kilowatts hours

Explanation:

If you bake a potato in a toaster oven that uses 1.2 kW and oven turned on for 25minutes, to get the amount in kilowatt hour, we will need to convert minutes to hour first

60minutes = 1hr

25minutes = x

60x = 25

x = 25/60 hr

x =

Multiply the time in hr with the power

Amount of kWhr used = 1.2 * 25/60

Amount of kWhr used = 30/60

Amount of kWhr used  = 0.3kilowatts hours

Hence it used 0.3kilowatts hours

help plsss !!!!!!!7777$$

Answers

Answer:

1.Proton,Nuetron,Electron

2.Electromagnetic force

3.J.J Thompson, Electron

4.b Nucleus

5.c Proton and Neutron

6. Electron

Explanation:

Just finished taking Physical science. Good Luck!

A steam governor uses negative feedback to control the speed of a steam engine. Suppose a steam governor has two balls that are each rotating with a tangential speed of 3.7 m/s. The balls are 0.10 m from the rotation axis, and the centripetal force on each ball is 670 N. What is the mass of one of the balls? Pls help

Answers

Answer:

no lo se

Explanation:

Supposing a steam governor has two balls that are each rotating with a tangential speed of 3.7 m/s. The balls are 0.10 m from the rotation axis, and the centripetal force on each ball is 670 N. Then the mass of one of the balls is 4.89 kg.

What is Centripetal force ?

''Centripetal force is force acting on a body performing circular motion, which is along radius of the circle and directed towards the center of circle"

since centripetal force acts at right angle to the tangential velocity of the body, there is no displacement in the direction of the force, hence no work done. It has newton(N) as Si unit.

centripetal force is given by,

F= mv²÷r

Where m is mass of the body

v is velocity of the body

r is radius of circle at which body is moving.

Given

velocity v = 3.7 m/s

radius r = 0.10 m

centripetal force F = 670N

mass = ?

from formula we can write,

670 = m(3.7)²÷0.10

m= (670×0.10)÷(3.7)²

m = 4.89 kg

Hence mass of one of the balls is 4.89 kg

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A net force of 30 N is applied to an object, causing it to accelerate at 20m/s^2. What is the mass of the object?

Answers

Answer:

mass of that object is = 30 × 29 = 870N

A shopping cart with two nice kids, rolls off a horizontal roof ledge that is 50
meters high. The cart and nice kids land 30 meters from the base of the ledge.
How fast was the cart rolling when it left the ledge?

Answers

Answer:

9.39 m/s

Explanation:

Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.

Assume the up direction is positive and the down direction is negative.

v₀ = 0 m/sa = -9.8 m/s² Δy = -50 m t = ?

Find the constant acceleration equation that contains these four variables.

Δy = v₀t + 1/2at²  

Substitute known values into this equation.

-50 = (0)t + 1/2(-9.8)t²

Multiply and simplify.

-50 = -4.9t²

Divide both sides of the equation by -4.9.

10.20408163 = t²

Square root both sides of the equation.

t = 3.194382825

Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.  

List out known variables in the x-direction.

v₀ = ?t = 3.194382825 s a = 0 m/s²Δx = 30 m

Find the constant acceleration equation that contains these four variables.

Δx = v₀t + 1/2at²  

Substitute known values into the equation.

30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²

Multiply and simplify.

30 = v₀ · 3.194382825

Divide both sides of the equation by 3.194382825.

v₀ = 9.391485505

The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.

Answer:

9.39 m/s

Explanation:

Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.

Assume the up direction is positive and the down direction is negative.

v₀ = 0 m/s

a = -9.8 m/s²

Δy = -50 m

t = ?

Find the constant acceleration equation that contains these four variables.

Δy = v₀t + 1/2at²  

Substitute known values into this equation.

-50 = (0)t + 1/2(-9.8)t²

Multiply and simplify.

-50 = -4.9t²

Divide both sides of the equation by -4.9.

10.20408163 = t²

Square root both sides of the equation.

t = 3.194382825

Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.  

List out known variables in the x-direction.

v₀ = ?

t = 3.194382825 s

a = 0 m/s²

Δx = 30 m

Find the constant acceleration equation that contains these four variables.

Δx = v₀t + 1/2at²  

Substitute known values into the equation.

30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²

Multiply and simplify.

30 = v₀ · 3.194382825

Divide both sides of the equation by 3.194382825.

v₀ = 9.391485505

The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.

how can we prove an object is moving? a) Compare it to another object. b) Measure it's change in position. c) Identify it's location. d) There is no way to measure motion

Answers

Answer:

B

Explanation:

The object won't stay in the same place if its moving

Explanation:

B) Measure it's change in position.

Describe the buoyant force acting on the Lucia before the torpedo attack.

Answers

Answer:

Explanation: positive

Which part of the following graph shows the object going at the fastest speed?
Distance
5
4-
in km
2-
1-
A А
0
6 5 10 15 20 25 30 35 40 45
Time in minutes
O Ato B
B to C
C to D
A to B and C to D are going equal speeds

Answers

Answer:

more point plzzzzz... eeeeeeeee

A to B in the graph shows the object going at the fastest speed.

In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.

What is speed ?

"The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude."

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Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?

Answers

Answer:

Well, it's because the air offers much greater resistance to the falling motion of the feather than it does to the brick. ... Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together.

Explanation:

According to the article, why might acting happy actually make one happy?

Answers

Answer: mirror neurons are the reason people usually reflect the behavior of those around them and have been linked to the ability to empathize. People are attracted to happy people because it seems to boost our mood.

Explanation:

Answer:

Some psychologists think that you can trick your brain into feeling happy by acting happy. Acting happy might actually make one happy by mirror neurons. This is the reason people usually reflect the behavior of those around them and have been linked to the ability to empathize. People are attracted to happy people because it seems to boost our mood. The three components of emotion are cognitive, physiological, and behavioral. There is actually some scientific evidence to suggest that smiling, even when you are not feeling happy, can make you happy. This idea is called the facial feedback hypothesis. Happiness, and smiling, can also be contagious and make others around them want to smile. People often mimic the facial expressions of others.

Explanation:

100% on Edge 2023!! You're welcome :) :) :) :)

is the threat of or actual use of physical force against oneself or another person.
A. Hazing
B. Conflict
C. Mediation
D. Violence

Answers

Answer:

D. Violence

Explanation:

Violence is the threat of or actual use of physical force against oneself or another person. Violence often results in injury or death.

Answer:

D.Violence

Explanation:

You're welcome!

a speed swimmer love to race around the parks pine which is 25m around if she can swim 20 laps in 7200s what is her average speed?

Answers

Answer:

the average speed of the swimmer is 0.069 m/s.

Explanation:

Given;

complete distance around the park pine, d = 25 m

total lap completed, = 20 laps

time of laps completion, t = 7200 s

The total distance completed by the swimmer = 20 x 25 = 500 m

The average speed of the swimmer = distance / time

                                                            = (500 m) / (7200 s)

                                                            = 0.069 m/s.

Therefore, the average speed of the swimmer is 0.069 m/s.

the force has to be specified both in terms of its magnitude as well as its direction true or false? ​

Answers

Anwser

The strength of a force is usually expressed by its magnitude. We have also to specify the direction in which a force acts.

Yes it is about the force and stuff

A merry-go-round accelerating uniformly from rest achieves itsoperating speed of 2.5rpm in five revolution.


A) What is the magnitude of its angluar acceleration(rad/s^2)?

B) How many seconds does it take the merry-go-round to reachits operating speed?

Answers

Answer:

(A) The magnitude of its angular acceleration 1.09 x 10⁻³ rad/s²

(B) Time of motion 240.2 s

Explanation:

Given;

final angular speed, ωf = 2.5 RPM

angular distance, θ = 5 rev = 5 x 2π = 10π rad

initial angular speed, ωi = 0

final angular speed in rad/s;

[tex]\omega_f = \frac{2.5 \ rev}{min} \times \ \frac{2\pi}{1 \ rev} \times \ \frac{1 \min}{60 s} = 0.2618 \ rad/s \\[/tex]

(A) the magnitude of its angular acceleration(rad/s^2);

[tex]\omega_f^2 = \omega_i^2 + 2\alpha \theta\\\\(0.2618)^2 = 0 + (2\times 10\pi)\alpha\\\\0.0685 = 20\pi \alpha\\\\\alpha = \frac{0.0685}{20\pi} \\\\\alpha = 1.09\times 10^{-3} \ rad/s^2[/tex]

(B) Time of motion;

[tex]\omega_f = \omega_i + \alpha t\\\\0.2618 = 0 + 1.09\times 10^{-3} t\\\\t = \frac{0.2618}{1.09\times 10^{-3}} \\\\t = 240.2 \ s[/tex]

5. Which organisms are used to manufacture human insulin?
A. algae
B. amoebas
C. bacteria
D. protozoans

Answers

The answer is going to be C, Bacteria. Therefore the organisms that are used to manufacture human insulin would be bacteria.

The organism that is used to manufacture human insulin is known as the bacteria E. Coli. Thus, the correct option for this question is C.

What is the function of human insulin?

The function of human insulin is to maintain the blood sugar level by converting the active form of sugar which is glucose into the stored form of glycogen in order to maintain the blood sugar level.

In this modern era of science and technology, recombinant human insulin is mainly synthesized or produced with the help of organisms like E. Coli which is classified in the category of bacteria, and Saccharomyces cerevisiae which is classified in the category of unicellular fungus.

Therefore, the organism that is used to manufacture human insulin is known as the bacteria E. Coli. Thus, the correct option for this question is C.

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Question 8 of 10
When you see your reflection in a flat (plane) mirror, what type of image are
you seeing?
A. Smaller
B. Virtual
C. Larger
D. Real

Answers

Answer:

virtual

Explanation:

because the light rays do not meet at the image position

the other options are definitely wrong because

characteristics of a plane mirror images are that,

it is the same size as the object

it is upright

Answer:

B - Virtual

Explanation:

Need help ASAP
Will mark BRAINLIST and thanks only for correct answers

1.What is the correct way a cell phone call goes out?

-The phone call goes out, transmits through microwaves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

-The phone call goes out, transmits through radio waves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

-The phone call goes out, transmits through microwaves, then moves to the tower. Then the signals go to the nearest hub to the receiver of the call.

2.Which property of AM frequencies allow them to travel over long distances?

-high amplitude
-high energy
-constant velocity
-long wavelength

3.what types of waves do cell phones use?
-radio waves
-gamma rays
-microwaves

Answers

Answer:

1. The phone call goes out, transmits through radio waves, then moves to the central hub. Then the signals go to the nearest tower to the receiver of the call.

2. long wavelength

3. radio waves

Explanation:

1. A cell phone call is works basically as a two-way radio, consisting of a radio transmitter and a radio receiver. When you dial a call to a friend on your cell phone, your phone converts your voice into an electrical signal, which is then transmitted through radio waves. The radio waves then moves to the central hub. Then the signals go to the nearest tower. The network of cell towers then relays the radio wave to your friend’s cell phone, which converts it to an electrical signal and then back to sound again.

2. AM means amplitude modulation. In AM frequencies, sound signals are modulated by changing the amplitude or maximum height of radio waves. AM frequencies use longer wavelength radio waves than FM frequencies. Because of their longer wavelengths, AM waves reflect off a layer of the upper atmosphere called the ionosphere, and thus travel over longer distances than FM waves.

3. Cell phones use radio waves to communicate.

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