 Practice Problems Assorted Resonance

Directions: On this worksheet you will be investigating examples of resonance. omit
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 2.8 m. omit
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? omit
Question 3  A string vibrates at 418 Hz with a wavelength of 2.8 meters. If the wavelength is shortened by 0.7 meters, what is its new frequency? omit
Question 4  A fundamental fixed-fixed standing wave is generated along a 1.4-meter string when its frequency is 418 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string? omit
Question 5  The speed of sound inside a 0.42-meter long open-closed tube (fixed-free) is 347.8 m/sec.What are its first three resonate frequencies? omit
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? omit
Question 7  The lowest frequency that a conch shell is able to produce is 414 Hz, if the resonating dimension is 0.21 meters and the wave speed is 347.8 m/s, what type of standing wave is being created? omit
Question 8  What is the speed of sound in a chamber (fixed-free) that is 2.8 meters deep if sound is resonating at 418 Hz?