A certain piano string is supposed to brate at a frequency of 4.30 x 102 Hz. In order to check its frequency, a tuning fork known to vibrate at frequency of 4.30 x 102 Hz is sounded at the same time the piano key is struck, and a beat frequency of beats per second is heard. (a) Find the two possible frequencies at which the string could be vibrating. flower = Hz fhigher = Hz (b) Suppose the piano tuner runs toward the piano, holding the vibrating tuning fork while his assistant plays the note, which is at 424 Hz. At his maximum speed, the piano tuner notices the beat frequency drops from 6 Hz to 3 Hz (without going through a beat frequency of zero). How fast is he moving? Use a speed of sound of 343 m/s. m/s (c) While the piano tuner is running, what beat frequency is observed by the assistant? [Note: Assume all numbers are accurate to two decimal places, necessary for this last calculation.] Hz

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Please answer all parts to the question.
A certain piano string is supposed to
vibrate at a frequency of 4.30 x 102 Hz. In order to check its frequency, a tuning fork known to vibrate at
a frequency of 4.30 x 102 Hz is sounded at the same time the piano key is struck, and a beat frequency of
6 beats per second is heard.
(a) Find the two possible frequencies at which the string could be vibrating.
flower =
Hz
fhigher
=
Hz
(b) Suppose the piano tuner runs toward the piano, holding the vibrating tuning fork while his
assistant plays the note, which is at 424 Hz. At his maximum speed, the piano tuner notices the
beat frequency drops from 6 Hz to 3 Hz (without going through a beat frequency of zero). How
fast is he moving? Use a speed of sound of 343 m/s.
m/s
(c) While the piano tuner is running, what beat frequency is observed by the assistant? [Note:
Assume all numbers are accurate to two decimal places, necessary for this last calculation.]
Hz
Transcribed Image Text:A certain piano string is supposed to vibrate at a frequency of 4.30 x 102 Hz. In order to check its frequency, a tuning fork known to vibrate at a frequency of 4.30 x 102 Hz is sounded at the same time the piano key is struck, and a beat frequency of 6 beats per second is heard. (a) Find the two possible frequencies at which the string could be vibrating. flower = Hz fhigher = Hz (b) Suppose the piano tuner runs toward the piano, holding the vibrating tuning fork while his assistant plays the note, which is at 424 Hz. At his maximum speed, the piano tuner notices the beat frequency drops from 6 Hz to 3 Hz (without going through a beat frequency of zero). How fast is he moving? Use a speed of sound of 343 m/s. m/s (c) While the piano tuner is running, what beat frequency is observed by the assistant? [Note: Assume all numbers are accurate to two decimal places, necessary for this last calculation.] Hz
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