1. How long should an tube (open at both ends) be in order to have a resonant frequency (n=1) of 262 Hz? (This is C below concert A.) Assume that the speed of sound is 340 m/s.
2. How long should a pendulum be so that it swings 3 times per second?
3. A string is 0.40-m long and has a wave speed of 60 m/s. Find the wavelengths and frequencies of the first 3 harmonics.
4. A tube open on both ends is 1.0-m long. What is the resonant frequency (n=1) of this tube? Assume that the speed of sound is 340 m/s. What are the frequencies of the next 2 harmonics?
Answers
1. 0.65 m
2. f = 3 Hz. T = 1/3 sec. L = 0.027 m
3. 0.8 m, 0.4 m, 0.266 m.
75 Hz, 150 Hz, 225 Hz
4. 170 Hz, 340 Hz, 510 Hz
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