Question

A flutist assembles her flute in a room where the speed of sound is 342 m/s . When she plays the note A, it is in perfect tune with a 440 Hz tuning fork. After a few minutes, the air inside her flute has warmed to where the speed of sound is 344 m/s . PART A: How many beats per second will she hear if she now plays the note A as the tuning fork is sounded? Express your answer in beats per second to two significant figures. PART B: How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork? Express your answer in millimeters to two significant figures.

          A flutist assembles her flute in a room where the speed of sound
is 342 m/s . When she plays the note A, it is in perfect
tune with a 440 Hz tuning fork. After a few minutes, the
air inside her flute has warmed to where the speed of sound is
344 m/s .
PART A:
How many beats per second will she hear if she now plays the
note A as the tuning fork is sounded?
Express your answer in beats per second to two significant
figures.
PART B:
How far does she need to extend the "tuning joint" of her flute
to be in tune with the tuning fork?
Express your answer in millimeters to two significant
figures.

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Added by Celia R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

03/17/2023

Step 1

We can use the formula: v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength. For the initial situation, we have: v1 = 342 m/s f1 = 440 Hz We can solve for λ1: λ1 = v1 / f1 λ1 = 342 m/s / 440 Hz λ1 = 0.777 m Now, let's find the Show more…

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A flutist assembles her flute in a room where the speed of sound is 342 m/s . When she plays the note A, it is in perfect tune with a 440 Hz tuning fork. After a few minutes, the air inside her flute has warmed to where the speed of sound is 344 m/s . PART A: How many beats per second will she hear if she now plays the note A as the tuning fork is sounded? Express your answer in beats per second to two significant figures. PART B: How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork? Express your answer in millimeters to two significant figures.

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