Question

The distance between a loudspeaker and the left ear of a listener is $2.70 \mathrm{~m} . \quad$ (a) Calculate the time required for sound to travel this distance if the air temperature is $20^{\circ} \mathrm{C} .$ (b) Assuming that the sound frequency is $523 \mathrm{~Hz}$, how many wavelengths of sound are contained in this distance?

Name: Problem 90, Chapter 16: Physics
Uploaded: 2021-05-31T20:02:28-08:00
Duration: 2 min 8 s
Channel: Keshav Singh
Description: The distance between a loudspeaker and the left ear of a listener is 2.70 m . (a) Calculate the time required for sound to travel this distance if the air temperature is 20^∘ C . (b) Assuming that the sound frequency is 523 Hz, how many wavelengths of sound are contained in this distance?

   The distance between a loudspeaker and the left ear of a listener is $2.70 \mathrm{~m} . \quad$ (a) Calculate the time required for sound to travel this distance if the air temperature is $20^{\circ} \mathrm{C} .$ (b) Assuming that the sound frequency is $523 \mathrm{~Hz}$, how many wavelengths of sound are contained in this distance?

Physics

John D. Cutnell,… 8th Edition

Chapter 16, Problem 90

Instant Answer

Solved by Expert Keshav Singh

05/31/2021

Step 1

The speed of sound in air can be calculated using the formula: v = 331.4 + 0.6 * T where v is the speed of sound in meters per second, and T is the temperature in degrees Celsius. (a) Now, we can calculate the time required for sound to travel the given Show more…

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The distance between a loudspeaker and the left ear of a listener is $2.70 \mathrm{~m} . \quad$ (a) Calculate the time required for sound to travel this distance if the air temperature is $20^{\circ} \mathrm{C} .$ (b) Assuming that the sound frequency is $523 \mathrm{~Hz}$, how many wavelengths of sound are contained in this distance?

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Key Concepts

Speed of Sound

This concept refers to the rate at which sound waves travel through a medium. In air, the speed of sound is affected by temperature, typically increasing as temperature rises, and is calculated using formulas that take temperature into account.

Frequency and Wavelength Relationship

This concept explains the relationship between the frequency of a sound wave and its wavelength through the equation v = f?, where v is the speed of sound, f is the frequency, and ? is the wavelength. It is fundamental in linking the wave's temporal and spatial characteristics.

Time of Propagation

This concept involves determining the duration it takes for a sound wave to travel a given distance. It is calculated by dividing the distance by the speed of sound, which provides the basis for understanding delays in sound transmission.

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