1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
15

The production of sound during speech or singing is a complicated process. Let's concentrate on the mouth. A typical depth for t

he human mouth is about 7.80cm , although this number can vary. (Check it against your own mouth.). We can model the mouth as an organ pipe that is open at the back of the throat.
A) What are the wavelengths of the first four harmonics you can produce if your mouth is open?

?1,?2,?3,?4 = __ cm


B) What are the frequencies of the first four harmonics you can produce if your mouth is open? Use 350m/s.

f1,f2,f3,f4 = __ Hz


C) What are the wavelengths of the first four harmonics you can produce if your mouth is closed?

?1,?2,?3,?4 = __ cm


D) What are the frequencies of the first four harmonics you can produce if your mouth is closed? Use 350m/s.

f1,f2,f3,f4 = __ Hz
Physics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

a)  λ₁ = 15.6 cm,  λ₂ = 7.8 cm, λ₃ = 5.2 cm, λ₄ = 3.9 cm

b)   f₁ = 2243 Hz, f₂ = 4487 Hz, f₃ = 6730 Hz, f₄ = 8974 Hz

c)  λ₁ = 31.2 cm , λ₂ = 10.4 cm, λ₃= 6.24 cm, λ₄= 4.46 cm

d)   f₁ = 1121.8 Hz , f₂ = 3365 Hz ,  f₃ = 5609 Hz , f₄ = 7848 Hz

Explanation:

a) This simulation can be approximated as a tube that is open at both ends, in this case we have wave maximums at these points, the relationship between the wavelength and the length of the wave is

      λ = 2L

      λ₂ = (2L) / 2

      λ₃ = (2L) / 3

      λₙ = 2L / n

      n = 1, 2, 3 ...

Let's apply this equation to our case

      λ  = 2 7.80 cm

      λ₁ = 15.6 cm

      λ₂ = 2 7.8 / 2

      λ₂ = 7.8 cm

      λ₃ = 2 * 7.8 / 3

      λ₃ = 5.2 cm

      λ₄ = 2 7.8 / 4

      λ₄ = 3.9 cm

For the frequency we use the relationship

       v = λ  f

       f = v / λ  

       f1 = v / Lam

The wavelength in meters

      f₁ = 350 /15.6 10-2

      f₁ = 2243 Hz

      f₂ = 350 / 0.078

      f₂ = 4487 Hz

      f₃ = 350 / 0.052

      f₃ = 6730 Hz

      f₄ = 350 / 0.039

      f₄ = 8974 Hz

c) in this case the mouth is closed, therefore, at this point we have a node and the open part a belly (maximum)

      λ = 4L

      λ₂ = 4L / 3

      λ₃ = 4L / 5

      λₙ = 4L / n

      n = 1, 3, 5, 7, ...

We calculate

      λ₁ = 4 7.80 / 1

      λ₁ = 31.2 cm

      λ₂ = 4 7.8 / 3

      λ₂ = 10.4 cm

      λ₃ = 4 7.8 / 5

      λ₃= 6.24 cm

      λ₄ = 4 7.8 / 7

      λ₄= 4.46 cm

We calculate the frequencies the wavelength in meters

     f₁ = 350 / 0.312

     f₁ = 1121.8 Hz

     f₂ = 350 / 0.104

    f₂ = 3365 Hz

    f₃ = 350 /0.0624

    f₃ = 5609 Hz

    f₄ = 350 /.00446

    f₄ = 7848 Hz

You might be interested in
What happens when two sound waves meet in destructive interference?
Anna71 [15]

sorry i did not mean to answer

6 0
2 years ago
Two samples of water are mixed together.
Anon25 [30]
<h3><u>Answer;</u></h3>

A.75°C

<h3><u>Explanation</u>;</h3>

Let the change in temp of cold water be  x degrees,

while that of  hot water be 100 - x degrees.

Heat exchange =  mcΔt

Ice

Δt = x

m = 0.50 kg

c = 4.18 kJ/kg*°C

Hot water

Δt = 100 - x

m = 1.5 kg

c = 4.18

But;

Heat lost = heat gained

0.50 * c * x = 1.5 * c * (100 - x)          

0.50 *x = 1.5*(100 - x)                          

0.5x = 150 - 1.5x                                  

0.5x + 1.5x = 150 - 1.5x + 1.5x            

2x = 150                                              

x = <u>75° C</u>

Hence; the equilbrium temperature will be 75° C

7 0
2 years ago
A boat takes 3.0 hours to travel 50 km down a river, then 5.4 hours to return. Determine the speed of the water in the river.
Nutka1998 [239]

Answer:

3.7 km/h

Explanation:

Let's call v the proper speed of the boat and v' the speed of the water in the river.

When the boat travels in the direction of the current, the speed of the boat is:

v + v'

And it covers 50 km in 3 h, so we can write

v+v' = \frac{50 km}{3 h}=16.7 km/h (1)

When the boat travels in the opposite direction, the speed of the boat is

v - v'

And it covers 50 km in 5.4 h, so

v-v'=\frac{50 km}{5.4 h}=9.3 km/h (2)

So we have a system of two equations: by solving them simultaneously, we find the value of v and v':

v+v'=16.7 \\v-v'=9.3

Subtracting the second equation from the first one we get:

(v+v')-(v-v')=16.7-9.3\\2v'=7.4\\v'=3.7

So, the speed of the water is 3.7 km/h.


5 0
3 years ago
Which of the following is an example or an orginasm mantaining homeostasis
Kryger [21]

a cat grooming itself

8 0
2 years ago
A 40-w lightbulb connected to a 120-v source experiences a voltage surge that produces 132 v for a moment. by what percentage do
andrey2020 [161]
R=U^2/P=120*120/40=360 ohm
P2=U2^2/R=132*132/360=48.4 w
power increase ratio (48.4-40)/40=21%
3 0
2 years ago
Other questions:
  • Two compact sources of sound oscillate in phase with a frequency of 100 Hz. At a point 5.00m from one source and 5.85 m from the
    6·1 answer
  • What is meant by saying that a wave has a high frequency?
    11·2 answers
  • An elevator moves from rest<br> to 2 m/s over 8 seconds. What<br> is the elevator's acceleration?
    14·1 answer
  • You know that you sound better when you sing in the shower. This has to do with the amplification of frequencies that correspond
    11·1 answer
  • Which option gives an
    11·1 answer
  • A thin block of soft wood with a mass of 0.072 kg rests on a horizontal frictionless surface. A bullet with a mass of 4.67 g is
    15·1 answer
  • What is the difference between an energy pyramid and a biomass pyramid?
    8·1 answer
  • One person holds a spring scale while another pulls until the scale reads 32 N. What is the force that the person holding the
    7·1 answer
  • Kinetic energy is the energy of motion and increases with the speed of the wave.
    9·1 answer
  • There would be no water supply tomorrow at home. How much water should be stored for tomorrow? Why do you emphasize on estimatio
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!