A flutist assembles her flute in a room where the speed of sound is 34

[sphouxay]

Homework Statement

A flutist assembles her flute in a room where the speed of sound is 340 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 347 .

How many beats per second will she hear if she now plays the note A as the tuning fork is sounded?

How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork?

Homework Equations

f(beat) = 2f(mod) = 2 * (omega(mod))/(2pi) = f(1) - f(2)

The Attempt at a Solution

Ill get back with you on this

 

[Mark44]

I don't think it's f(1) - f(2). I think it might be f₁ - f₂.

In your formulas, make sure you understand what each symbol represents.

 

[Mene]

after I finish my calculations and experiments. Thank you for your patience.

I would first make sure to clarify any assumptions or missing information in the given scenario. For example, it is not specified if the flutist is playing a standard concert A (440 Hz) or if the tuning fork is perfectly in tune at that frequency. I would also need to know the length and dimensions of the flute to accurately calculate the necessary adjustments for tuning.

Once these details are clarified, I would approach the problem by using the known frequency of the tuning fork and the speed of sound in the room to calculate the wavelength of the sound waves. From there, I could determine the necessary lengthening of the tuning joint to produce a frequency that is in tune with the tuning fork.

To answer the question about beats per second, I would use the equation for beat frequency and substitute in the frequencies of the tuning fork and the flute. This would give me the number of beats per second that the flutist would hear when playing the A note.

In conclusion, as a scientist, I would approach this problem by first clarifying any necessary information and then using relevant equations and calculations to determine the necessary adjustments for tuning and the resulting beat frequency.