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Softa [21]
3 years ago
3

A tuba creates a 4th harmonic of frequency 116.5 Hz. When the first valve is pushed, it opens an extra bit of tubing 0.721 m lon

g. What is the new frequency of the 4th harmonic ? (Hint : Find the original length .)
Physics
1 answer:
lions [1.4K]3 years ago
0 0

Answer:

The new frequency is:

f₄ = 93.54 Hz

Explanation:

The data given to us is:

No. of harmonic frequency = 4

f₄ = 116.5 Hz

We know that the harmonic frequency is given by the formula:

fₙ = (n · v)/4L

where

n = no. of harmonic frequency

v = speed of sound

L = Length of rope

Lets find the initial length of rope for 4rth harmonic frequency (n=4) and v=343 m/s

fₙ = (n · v)/4L

f₄ = 4v/4L

f₄ = v/L

L = v/f₄

L = 343/116.5

L= 2.944m

Find frequency for new length that is 2.944m + 0.721m = 3.667m

f₄ = v/l

f₄ = 343/3.667

f₄ = 93.54 Hz

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\lambda=1090nm

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4 0
3 years ago
(a) If a long rope is hung from a ceiling and waves are sent. up the rope from its lower end, why does the speed of the waves ch
vazorg [7]

My response to question (a) and (b) is that all of the element of the rope need to  aid or support the weight of the rope and as such, the tension will tend to increase along with height.

Note that It increases linearly, if the rope is one that do not stretch. So, the wave speed v= √ T/μ   increases with height.

<h3>How does tension affect the speed of a wave in a rope?</h3>

The Increase of the tension placed on a string is one that tends to increases the speed of a wave, which in turn also increases the frequency of any given length.

Therefore,  My response to question (a) and (b) is that all of the element of the rope need to  aid or support the weight of the rope and as such, the tension will tend to increase along with height.  Note that It increases linearly, if the rope is one that do not stretch. So, the wave speed v= √ T/μ   increases with height.

Learn more about tension from

brainly.com/question/2008782

#SPJ4

See full question below

(a) If a long rope is hung from a ceiling and waves are sent up the rope from its lower end, why does the speed of the waves change as they ascend? (b) Does the speed of the ascending waves increase or decrease? Explain.

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2 years ago
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Answer:

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 Mathematically, frequency is related to wavelength and velocity using;

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                   Since c  = f ∧

where f is the frequency of the wave

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So;

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