Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note A should have the frequency 440 Hz and the note E should be at 659 Hz. The tuner can determine this by listening to the beats between the third harmonic of the A and the second harmonic of the E. A tuner first tunes the A string very precisely by matching it to a 440 Hz tuning fork. She then strikes the A and E strings simultaneously and listens for beats between the harmonics. What beat frequency indicates that the E string is properly tuned

Answers

Answer 1

Answer:

The beat frequency = 2.0 Hz

Explanation:

From the given information

The 3rd harmonic frequency of the note is equivalent to thrice note A fundamental frequency.

i.e.

[tex]f_{3A} = 3f_A[/tex]

where;

[tex]f_A =[/tex] note A fundamental freq.

replacing 440 Hz for [tex]f_A[/tex]

[tex]f_{#a} = 3 (440 \ Hz)[/tex]

[tex]f_{3A} = 1320 Hz[/tex]

However, the 2nd harmonic of the E is equivalent to two times the fundamental frequency of the note E.

i.e.

[tex]f_{2E} = 2f_E[/tex]

[tex]f_E =[/tex]  note E fundamental freq.

replacing 659 Hz for [tex]f_E[/tex]

[tex]f_{2E} = 2(659)[/tex]

[tex]f_{2E} = 1318 \ Hz[/tex]

Finally, the beat frequency when the E string is properly tuned is:

[tex]\Delta f = f_{3A}-f_{2E}[/tex]

[tex]\Delta f = 1320 \ Hz - 1318 \ Hz[/tex]

[tex]\Delta f = 2.0 \ Hz[/tex]

Thus, the beat frequency = 2.0 Hz


Related Questions

Which of the following statements is true about the speed at which sound waves travel?


A:Sound travels faster through air

B:Sound travels faster in a vacuum

C:Sound travels faster through water

D:Sound travels faster through a solid

Answers

Answer: sound waves travel faster in solid than water or air.

In vacuum sound waves don't travel at all

Answer:

A: Sound travels faster through air

Explanation:

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C, the speed of sound in air is about 343 metres per second, or a kilometre in 2.9 s or a mile in 4.7 s.

You need to design a spring that will launch a 1060 kg satellite with a speed of 3.35 m/s relative to an orbiting space station. The maximum safe acceleration of the satellite is 5.00g, (g being the usual gravitational field constant on the surface of the Earth). The spring's mass, the recoil kinetic energy of the space station, and changes in gravitational potential energy will all be negligible.What must the force constant of the spring be

Answers

Answer:

226.8 kN/m

Explanation:

The work done by the spring, W equals the kinetic energy of the satellite, K

W = K

work done by the spring, W = 1/2kx² where k = force constant and x = extension of spring

kinetic energy of the satellite, K = 1/2mv² where m = mass of satellite = 1060 kg and v = speed of satellite = 3.35 m/s

1/2kx² = 1/2mv²

k = mv²/x²

Also, the spring force F = kx where k = force constant and x = extension of spring.

k = F/x

equation both expressions for k, we have

mv²/x² = F/x

x = mv²/F since F = ma where m = mass of satellite and a = maximum acceleration of satellite = 5.00g and g = 9.8 m/s²

x = mv²/ma = mv²/5.00mg = v²/5.00g

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

x = v²/5.00g

= (3.35 m/s)²/(5.00 × 9.8 m/s²)

= 11.2225 m²/s²/49 m/s²

=0.229 m

Now k = F/x = 5.00mg/x

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

k = 5.00mg/x

k = 5.00 × 1060 kg × 9.8 m/s²/0.229 m

k = 51940 kgm/s²/0.229 m

k = 51940 N/0.229 m

k = 226812.23 N/m

k = 226.81223 kN/m

k ≅ 226.8 kN/m

Proton traveling across a capacitor A proton enters with a velocity v between the plates of a capacitor as shown in the figure. What is the direction of the magnetic field needed so that the proton continues its trajectory, undeflected? Explain each step of your reasoning.

Answers

Answer:

Please see the direction of force in the attachment

Explanation:

As the particle enters the capacitor, it experiences electric. In order to move in the same direction as the electron was moving before entering the capacitor, the force due to the electric field of capacitor must be balanced by the magnetic field.

The direction of particle is shown in the attachment.

As we know,

Force = q (v *B)

How are the particles in matter organized

Answers

Answer:

Particles in agas are well separated with no regular arrangement. liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

Explanation:

hope this helps

Philosophy: The Big Picture Unit 8

Would an existentialist argue that the study of philosophy was a good use of a life?

A. Yes, if society valued the results of the study.
B. Yes, but only if the individual found it meaningful.
C. No, a life should be spent minimizing the role of anxiety.
D. No, there is no way that philosophy could create a meaningful life.

Answers

the answer to this would be C

The density of 2 kilograms of iron on Earth's surface is
A. Zero.
B. The same on the moon.
C. Less on the moon.
D. Greater on the moon.
E. None of them

Answers

Answer:

B. The same on the moon.

Explanation:

The density of an object is the ratio of the mass contained by the object to the volume occupied by that mass.

[tex]Density = \frac{Mass}{Volume}[/tex]

When the object is taken from the earth to anywhere in the universe, its mass remains constant. The dimensions of the object and hence its volume also remains constant anywhere in the universe.

Therefore, the density of the object will also remain the same as it depends upon the mass and the volume of the object.

So, the correct option is:

B. The same on the moon.

Ton is used for measure very big masses.
right or wrong

science ​

Answers

Answer:

Explanation:

The correct answer is right

Answer:

True

Explanation:

Ton is a unit that is used to measure huge masses like cars, trucks and huge boxes

12. Which of these devices uses an electromagnet? O a light bulb O an electric motor O a refrigerator magnet a compass​

Answers

Answer:

the third one with the refrigerator

If you were to find 2 fossils, give the reasons for the way you might be able to tell which fossil is older?

Answers

Answer:

Relative Dating

Explanation:

Relative dating is used to determine a fossils approximate age by comparing it to similar rocks and fossils of known ages. Absolute dating is used to determine a precise age of a fossil by using radiometric dating to measure the decay of isotopes, either within the fossil or more often the rocks associated with it.

The results in a science text

describe details involved in completing the experiment.

share the data found after an experiment is concluded.

give the background and purpose of an experiment.

interpret the results of a completed experiment.

Answers

Answer:

The answer is B since no one answered it :)

Explanation:

Answer:

b

Explanation:

i took the test

Approximate the human form as an unclothed vertical cylinder of 0.3 m diameter and 1.75 m length with a surface temperature of 30 oC.(a)Calculate the heat loss in a 10 m/s wind at 20 oC.(b)What is the heat loss if the skin is covered with a thin layer of water (i.e., sweat) at 30 oC and the relative humidity of the air is 60 %

Answers

Answer:

[tex]q=1118.865W[/tex]

Explanation:

From the question we are told that

Diameter of the cylinder [tex]D=0.3m[/tex]

Length of the cylinder [tex]L=1.75m[/tex]

Surface temperature of cylinder [tex]T_s=30 \textdegree C=303k[/tex]

Speed of air [tex]V=10m/s[/tex]

Temperature of air [tex]T=20 \textdegree C[/tex]

Generally the equation for Reynolds number is mathematically given by

[tex]Re_D=\frac{VD}{v}[/tex]

where

[tex]v=15.27*10^-^6[/tex]

[tex]Re_D=\frac{10*0.3}{15.27*10^-^6}[/tex]

[tex]Re_D=1.96*10^5[/tex]

Generally the equation for Nusselt number is mathematically given by

[tex]N_u=0.6(Re_D)^{0.6}(Pr)^{0.37}[/tex]

where

Prandtl number

[tex]Pr=0.71[/tex]

[tex]N_u=0.6(Re_D)^{0.6}(Pr)^{0.37}[/tex]

[tex]N_u=0.6(1.96*10^5)^{0.6}(0.71)^{0.37}[/tex]

[tex]N_u=791.53[/tex]

Generally the equation for convective heat transfer is mathematically given by

[tex]h=Nu \frac{k}{D}[/tex]

where

[tex]k=25.7*10^{-3}[/tex]

[tex]h=791.53*\frac{25.7*10^{-3}}{0.3}[/tex]

[tex]h=67.81W/m^2K[/tex]

Generally the equation for surface area of a cylinder is mathematically given by

[tex]A=\pi DL[/tex]

[tex]A=\pi *0.3*1.75[/tex]

[tex]A=1.65m^2[/tex]

Generally the equation for convective heat transfer is mathematically given by

[tex]q=h4(T_s-T_{inty)}[/tex]

[tex]q=(67.81)*1.65*(30-20)\\[/tex]

[tex]q=1118.865W[/tex]

what is the relationship between the perimeter and the side length of anequilateral triangle ?

Answers

Answer:

The length of the equilateral triangle's side is the length of the hypotenuse of the 30-60-90. Using this ratio, we find that the length of this triangle's hypotenuse is 4. Thus the perimeter of the equilateral triangle will be 4 multiplied by 3, which is 12.

What is it called when a Rock forms due to heat and pressure in the earth?

Answers

It is called Metamorphic rocks!!

Does gravity increase or decrease with greater distance?

Answers

Gravitational force decreases with increasing distance. So it decreases!

What keeps the Earth's atmosphere from floating away? Earth's gravity keeps the air molecules of the atmosphere from escaping the area surround Earth The attraction between the different molecules of atmospheric gases The temperature of the gas is not high enough to allow it to spread out and escape the area surrounding Earth The differentiation between temperatures of the Earth and outer space traps the gases in the atmosphere

Answers

Answer: it is the earth gravity :’)

Explanation:

Earth's gravity keeps the air molecules of the atmosphere from escaping the area surround Earth

Which is not a component of an electromagnet?
A. solenoid
B. power source
C. ferromagnetic core
D. permanent magnet

Answers

It would probably be B

The electric field at the center of a ring of charge is zero. At very large distances from the center of the ring along the ring's axis the electric field goes to zero. Find the distance from the center of the ring along the axis (perpendicular to the plane containing the ring) at which the magnitude of the electric field is a maximum. The radius of the ring is 7.55 cm and the total charge on the ring is 7.06E-6 C.

Answers

Answer:b[tex]4.29\times 10^6\ N/C[/tex]

Explanation:

Given

The radius of the ring is [tex]a=7.55\ cm[/tex]

The charge on the ring is [tex]Q=7.06\times 10^{-6}\ C[/tex]

Electric field along the axis at a distance [tex]x[/tex] is given by

[tex]E=\dfrac{kxQ}{(x^2+a^2)^{\frac{3}{2}}}[/tex]

To get the maximum value, differentiate [tex]E[/tex] w.r.t [tex]x[/tex] we get

[tex]E_{max}=\dfrac{2kQ}{3\sqrt{3}a^2}\quad [\text{at}\ x=\dfrac{a}{\sqrt{2}}]\\\\E_{max}=\dfrac{2\times 9\times 10^9\times 7.06\times 10^{-6}}{3\sqrt{3}(7.55\times 10^{-2})^2}\\\\E_{max}=\dfrac{24.456\times 10^3}{57\times 10^{-4}}=4.29\times 10^6\ N/C[/tex]

an object has a velocity of 0.12 rad/s. how many revolutions will the object make after traveling for 30 seconds?

Answers

Answer:

We can write   S = v * t    where S is the distance traveled in time t

S = .12 rad/sec * 30 sec = 3.6 rad     distance traveled

Also 2 * pi * N = S   since there are 2 * pi rad / revolution

So 2 * pi * N = 3.6

N = 3.6 / (2 * pi) = .573 revolutions

An explosive eruption by a single volcano can affect
OA. only the lifeforms living on the volcano.
OB. only the lifeforms living on the same continetu
OC. lifeforms throughout the world.
OD. Earth's climate but not its lifeforms.

Answers

I think the answer is C but it also could be D

1 kg block slides down a frictionless inclined plane that makes an angle of 300 with respect to the ground. The total length of the plane is 2 m, but midway down it collides with a second block, weighing 0.5 kg. The two blocks stick together and travel as one unit the rest of the way down the ramp. What is the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane

Answers

Answer:

the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J

Explanation:

Given that the data in the question;

angle of inclination with respect to the ground [tex]\theta[/tex] = 30°

length of plane d = 2m

m₁ = 1 kg

m₂ = 0.5 kg

now, velocity of the first block at midpoint;

[tex]\frac{1}{2}[/tex]mv² = mgsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex]

[tex]\frac{1}{2}[/tex]v² = gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex]

v² = gsin[tex]\theta[/tex]d

v = √( gsin[tex]\theta[/tex]d)

g is 9.8 m/s

so we substitute

v = √( 9.8 × sin30° × 2)

v = √( 19.6 )

v =  3.13 m/s

Now, velocity just after collision of the blocks will be;

(m₁ + m₂)v₂ = m₁v

v₂ = m₁v / (m₁ + m₂)

we substitute

v₂ = (1 × 3.13) / (1 + 0.5)

v₂ = 3.13 / 1.5

v₂ = 2.0866 m/s

now, final kinetic energy will be;

[tex]KE_f[/tex] = (m₁ + m₂)gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex] + Initial Kinetic energy

[tex]KE_f[/tex] = (m₁ + m₂)gsin[tex]\theta[/tex][tex]\frac{d}{2}[/tex] + [tex]\frac{1}{2}[/tex]mv₂²

we substitute

[tex]KE_f[/tex] = [(1 + 0.5)9.8 × sin30 × [tex]\frac{2}{2}[/tex]] + [[tex]\frac{1}{2}[/tex] × 1.5 × 2.0866 ]

[tex]KE_f[/tex] = 7.35 + 3.2654

[tex]KE_f[/tex] = 10.62 J

Therefore, the kinetic energy of the combined 1.5 kg block when it reaches the bottom of the plane is 10.62 J

A 0.40 kg block can slide up and down a rough a 10-m-high, 30-m-long slope. At the bottom, a stiff spring with spring constant 800 N/m is compressed 0.50 m and used to launch the block up the slope. The friction force on the block from the slope is 1.2 N. What is the speed of the block when it reaches the top of the slope, in m/s

Answers

Answer:

[tex]v=11.135m/s[/tex]

Explanation:

From the question we are told that

Mass [tex]m=0.40kg[/tex]

Frictional friction [tex]f=1.2[/tex]

Spring constant [tex]k=800N/m[/tex]

Compressed [tex]x=0.50[/tex]

Generally the energy balance equation is mathematically given as

[tex]1/2kx^2=f*30+m*g*sin \theta*30+1/2m*v^2[/tex]

if [tex](sin=10/30-1/3)[/tex]

[tex]1/2(800)(0.5)^2=(1.2)*30+(0.4)*9.8*1/3*30+1/2(0.4)*v^2[/tex]

[tex]100=36+39.2+0.20v^2[/tex]

[tex]v^2=\frac{24.8}{0.20}[/tex]

[tex]v=\sqrt{124}[/tex]

[tex]v=11.135m/s[/tex]

Kieran is graduating from high school. He wants to be a urologist. What career path would be best for Kieran to follow?
four-year degree Right arrow. graduate school Right arrow. residency
four-year degree Right arrow. graduate school Right arrow. license from the NCLEX
two-year degree Right arrow. license from the NCLEX Right arrow. certification in a specialty
two-year degree Right arrow. vocational school Right arrow. further certification

Answers

Answer:

four-year degree Right arrow. graduate school Right arrow. residency

Explanation:

edge

Four-year degree Right arrow. graduate school Right arrow. residency. This career path would be best for Kieran to follow.

What is career ?

According to the Oxford English Dictionary, a person's "career" is their "course or progress through life." According to this definition, a person's "career" includes a variety of facets of their life, education, and employment. The term "career" is also widely used to refer to the professional parts of a person's life, as in "career woman," for instance. A profession or occupation that often requires specific training or formal education is referred to as a person's lifework in the third manner that the word "career" is employed.When used in this context, "a career" refers to a set of linked occupations that are often followed within a single industry or sector. For instance, one may speak of "a career in education," "a career in criminal justice," or "a career in the building trade."

To know more about career :

https://brainly.com/question/30040900

#SPJ3.

Chemotherapy is used to treat
cervical cancer.
endometriosis.
undescended testicles.
benign prostatic hypertrophy.

Answers

Answer:

cervical cancer

Explanation:

EDGE 2020

What is the equivalent resistance of the circuit?

Answers

Answer:

(B) 80 ohms

Explanation:

Since the circuit is a series connection, simply add the two resistances together to get 80 ohms.

What could we call the
grocery store?
A. Linear motion
B. Reference point
C. Rotary

Answers

Reference point

Explanation:

I am not sure

A wave has a frequency of 30Hz and wave length of 40cm. What is the velocity of the wave?

Answers

Answer:

12m/s

Explanation:

v=fλ

30×(40÷100)=

12m/s




Sal is experimenting with materials that dissolve in water. He finds a material that dissolves well in water. Which of these could it
be?

Answers

any pics? so i can see the question ⁉️

#1 - Saturn has a mass of 5.683 x 10^26 kg. One of its moons, Titan, has a
mass of 1.345x10^23 kg. The center of Saturn to the center of Titan is 1.222
x 10^6 m. What is the magnitude of the gravitational force that attracts
Saturn and Titan? Please show work and formula

Answers

Answer:

F = G M1 M2 / R^2      attractive force

F = 6.67 * 10E-11 * 5.683 * 10E26 * 1.345 * 10E23 / (1.222 * 106)^2  N

F = 6.67 * 5.683 * 1.345 / 1.493 * 10E26 N = 3.414 * 10E27 N

What is a positive effect of increased carbon dioxide within the carbon cycle?

Answers

Answer:

The positive impact in the cycle is that CO2 will make plants to use water more efficiently and also thereby make them to become drought resistant and thereby grow faster.

Explanation:

Carbon cycle is the process by which carbon dioxide travels from the atmosphere to the earth and returns back to the atmosphere.

The negative impact of carbon dioxide in the carbon cycle is that it will cause green house effect. However, when it comes to the positive impact in the cycle, CO2 will make plants to use water more efficiently and also thereby make them to become drought resistant and thereby grow faster.

What is the mass of an object if a force of 17 N causes it to accelerate at 1.5 m/s/s?

Answers

Answer:

11.34 i think

Explanation:

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