Practice Problems Assorted Resonance

Directions: On this worksheet you will be investigating examples of resonance.

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Question 1  What is the wave speed of a wave traveling through a long spring if its frequency is 14 Hz and its wavelength is 2.9 m.
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Question 2  Given that the spring in Question 1 does not change, what would be the wave's new wavelength if the frequency of oscillation were to be doubled?
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Question 3  A string vibrates at 579 Hz with a wavelength of 2.9 meters. If the wavelength is shortened by 0.725 meters, what is its new frequency?
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Question 4  A fundamental fixed-fixed standing wave is generated along a 1.4-meter string when its frequency is 579 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
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Question 5  The speed of sound inside a 0.37-meter long open-closed tube (fixed-free) is 348.4 m/sec.What are its first three resonate frequencies?
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Question 6   If the tube in Question 5 was now opened on both ends (free-free), what would be its new first three resonate frequencies?
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Question 7  The lowest frequency that a conch shell is able to produce is 471 Hz, if the resonating dimension is 0.185 meters and the wave speed is 348.4 m/s, what type of standing wave is being created?
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Question 8  What is the speed of sound in a chamber (fixed-free) that is 2.9 meters deep if sound is resonating at 579 Hz?