The musical note known as middle C, a.k.a. C4, has a frequency of 261.63 Hz. Consider a tube that is 2.15 m long, closed at one end with an opening 0.50 m in diameter at the other end. 1) What is the “effective length” of the tube, considering its opening diameter? 2)The typical speed of sound indoors is around 340-345 m/s. If the tube resonates when C4 is played into it, what is the most likely standing wave mode (the mode number)? Explain. 3)What is the specific speed of sound in this case? 4) Based on the empirical equation in the picture, what is the air temperature?

The musical note known as middle C, a.k.a. C4, has a frequency of 261.63 Hz. Consider a tube that is 2.15 m long, closed at one end with an opening 0.50 m in diameter at the other end. 1) What is the “effective length” of the tube, considering its opening diameter? 2)The typical speed of sound indoors is around 340-345 m/s. If the tube resonates when C4 is played into it, what is the most likely standing wave mode (the mode number)? Explain. 3)What is the specific speed of sound in this case? 4) Based on the empirical equation in the picture, what is the air temperature?

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Question

The musical note known as middle C, a.k.a. C4, has a frequency of 261.63 Hz. Consider a tube that is 2.15 m long, closed at one end with an opening 0.50 m in diameter at the other end.

1) What is the “effective length” of the tube, considering its opening diameter?

2)The typical speed of sound indoors is around 340-345 m/s. If the tube resonates when C4 is played into it, what is the most likely standing wave mode (the mode number)? Explain.

3)What is the specific speed of sound in this case?

4) Based on the empirical equation in the picture, what is the air temperature?