- You Have Decided To Combine Your Musical Ability Your Physics Knowledge And Your App Designing Ability To Make Some Mo 1 (63.75 KiB) Viewed 28 times
You have decided to combine your musical ability, your physics knowledge, and your app-designing ability to make some mo
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You have decided to combine your musical ability, your physics knowledge, and your app-designing ability to make some mo
You have decided to combine your musical ability, your physicsknowledge, and your app-designing ability to make some money at theracetrack betting with your friends. You bet your friends that youcan determine the speed of a race car by humming into yoursmartphone. You have noticed that race cars exhibit the Dopplereffect when they race past you as you stand next to the track. Youhave also found that you can hum relatively accurately the typicalfrequencies that the engine of a race car makes as it approachesyou and recedes from you. You create an app on your smartphone thatwill listen to you humming those two frequencies and then perform acalculation of the speed of the car. When you perform this activitywith your friends, they are amazed! (Assume that the speed of soundis 343 m/s.)
You have decided to combine your musical ability, your physics knowledge, and your app-designing ability to make some money at the racetrack betting with your friends. You bet your friends that you can determine the speed of a race car by humming into your smartphone. You have noticed that race cars exhibit the Doppler effect when they race past you as you stand next to the track. You have also found that you can hum relatively accurately the typical frequencies that the engine of a race car makes as it approaches you and recedes from you. You create an app on your smartphone that will listen to you humming those two frequencies and then perform a calculation of the speed of the car. When you perform this activity with your friends, they are amazed! (Assume that the speed of sound is 343 m/s.) (a) Determine the equation that your app must use to calculate the speed of the race car from the input of the two frequencies described. fi f away+ftoward O away toward f'toward away.v toward away f away toward f -f away toward ftoward away y toward away (b) If the frequencies you hum are 428 Hz for the approaching car and 253 Hz for the receding car, find its speed in mi/h. mi/h (c) If the frequency of the race car drops by exactly an octave as it passes by, find the speed of the car (in mi/h). (Note: A musical octave is a frequency ratio of 2.) mi/h
You have decided to combine your musical ability, your physics knowledge, and your app-designing ability to make some money at the racetrack betting with your friends. You bet your friends that you can determine the speed of a race car by humming into your smartphone. You have noticed that race cars exhibit the Doppler effect when they race past you as you stand next to the track. You have also found that you can hum relatively accurately the typical frequencies that the engine of a race car makes as it approaches you and recedes from you. You create an app on your smartphone that will listen to you humming those two frequencies and then perform a calculation of the speed of the car. When you perform this activity with your friends, they are amazed! (Assume that the speed of sound is 343 m/s.) (a) Determine the equation that your app must use to calculate the speed of the race car from the input of the two frequencies described. fi f away+ftoward O away toward f'toward away.v toward away f away toward f -f away toward ftoward away y toward away (b) If the frequencies you hum are 428 Hz for the approaching car and 253 Hz for the receding car, find its speed in mi/h. mi/h (c) If the frequency of the race car drops by exactly an octave as it passes by, find the speed of the car (in mi/h). (Note: A musical octave is a frequency ratio of 2.) mi/h