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Chapter 17: Q6PE (page 629)

Air temperature in the Sahara Desert can reach 56.0∘C(about 134∘F). What is the speed of sound in air at that temperature?

Short Answer

Expert verified

The wave’s speed is 364.6 m/s.

Step by step solution

01

Given Data

The temperature isT=56.0∘C

02

Explanation

The temperature of the medium directly affects speed of sound traveling in it. If we talk about the gasses, a proportional increase is observed in the velocity of sound, with increase in temperature.

03

Calculation of the speed

The speed of a wave is given by,

v=331+0.6T

Plugging the values,

v=331+0.6×56.0∘C=364.6m/s

The speed of the given wave is364.6m/s

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Most popular questions from this chapter

Can the average person tell that a \[{\rm{2002}}\;{\rm{Hz}}\]sound has a different frequency than a \[{\rm{1999}}\;{\rm{Hz}}\] sound without playing them simultaneously?

(a) Find the length of an organ pipe closed at one end that produces a fundamental frequency of 256 Hz when air temperature is18.0C. (b)What is its fundamental frequency at 25.0 C?

Based on the graph inFigure\({\bf{17}}.{\bf{36}}\), what is the threshold of hearing

in decibels for frequencies of\({\bf{60}},{\rm{ }}{\bf{400}},{\rm{ }}{\bf{1000}},{\rm{ }}{\bf{4000}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{15}},{\bf{000}}{\rm{ }}{\bf{Hz}}\)? Note

that many AC electrical appliances produce 60 Hz, music is commonly

\({\bf{400}}{\rm{ }}{\bf{Hz}}\), a reference frequency is\({\bf{1000}}{\rm{ }}{\bf{Hz}}\), your maximum sensitivity

is near\({\bf{4000}}{\rm{ }}{\bf{Hz}}\), and many older TVs produce a\({\bf{15}},{\bf{750}}{\rm{ }}{\bf{Hz}}\)whine.

A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. (See Figure17.30.) (a) What is the fundamental frequency if the tube is0.240 mlong, by taking air temperature to be37.0 C? (b) What would this frequency become if the person replaced the air with helium? Assume the same temperature dependence for helium as for air.

Question: (a) What is the intensity of a sound that has a level \(7.00\;{\rm{dB}}\) lower than a\(4.00 \times {10^{ - 9}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)sound? (b) What is the intensity of a sound that is \(3.00\;{\rm{dB}}\)higher than a \(4.00 \times {10^{ - 9}}\;{\rm{W/}}{{\rm{m}}^{\rm{2}}}\)sound?
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