Georgia is standing on the sidewalk waiting to cross the street on a day when the pressure and temperature in the air are sufficiently atypical that we must treat the speed of sound in air as an unknown. Two cars are driving by; a red Porsche and a Honda Accord. Perhaps not surprisingly, the Porsche is driving quite a bit faster than the Honda. When the Porsche is driving toward Georgia, the frequency of the sound it makes is 1.5% higher than when the Porsche is driving away from her. When the Honda is driving away from Georgia, the frequency of the sound it makes is 0.9% lower than when it's driving toward her. Show that if va is the speed of any car is at drives past Georgia, if v is the speed of sound in air, and if fr and fд are the frequencies she hears when the car is driving toward her and away from her respectively, then IT VC IT +1 V. Use the equation you just derived to answer the following question: what percent higher is the speed of the Porsche compared to the speed of the Honda?

Georgia is standing on the sidewalk waiting to cross the street on a day when the pressure and temperature in the air are sufficiently atypical that we must treat the speed of sound in air as an unknown. Two cars are driving by; a red Porsche and a Honda Accord. Perhaps not surprisingly, the Porsche is driving quite a bit faster than the Honda. When the Porsche is driving toward Georgia, the frequency of the sound it makes is 1.5% higher than when the Porsche is driving away from her. When the Honda is driving away from Georgia, the frequency of the sound it makes is 0.9% lower than when it's driving toward her. Show that if va is the speed of any car is at drives past Georgia, if v is the speed of sound in air, and if fr and fд are the frequencies she hears when the car is driving toward her and away from her respectively, then IT VC IT +1 V. Use the equation you just derived to answer the following question: what percent higher is the speed of the Porsche compared to the speed of the Honda?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Properties of sound

A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).

Quality Of Sound

A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.

Categories of Sound Wave

People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.

Question

Georgia is standing on the sidewalk waiting to cross the street on a day
when the pressure and temperature in the air are sufficiently atypical that
we must treat the speed of sound in air as an unknown.
Two cars are driving by; a red Porsche and a Honda Accord. Perhaps not
surprisingly, the Porsche is driving quite a bit faster than the Honda.
When the Porsche is driving toward Georgia, the frequency of the sound it
makes is 1.5% higher than when the Porsche is driving away from her.
When the Honda is driving away from Georgia, the frequency of the
sound it makes is 0.9% lower than when it's driving toward her.
Show that if uc is the speed of any car is at drives past Georgia, if v is the
speed of sound in air, and if fr and fд are the frequencies she hears
when the car is driving toward her and away from her respectively, then
Vc =
(€)
+1
V.
Use the equation you just derived to answer the following question: what
percent higher is the speed of the Porsche compared to the speed of the
Honda?

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