Sound Calculations Speed of sound in air is 340m/s 1. Calculate the frequency of a wave travelling through air with a wavelength of 2m. 2. Calculate the wavelength of a wave travelling through air with a frequency of 542Hz. 3. This table shows an octave (8) of musical notes as they appear in a scale from middle C, which has a frequency of 262 Hz. Note Frequency (Hz) C D E F G A B C 262 294 330 349 392 440 494 524 a. Calculate the wavelength of middle C. b. Refer to the table above. What is the relationship between the frequency of middle C and the C of the next octave? 4. a. A didgeridoo is an instrument made of a cylinder with one closed end. The wavelength of the main note produced by an instrument of this type, is four times the length of the cylinder. If the didgeridoo is 1m in length, and the speed of sound in air is 340m/s, what is the frequency of the main note? b. If the didgeridoo was 2m long, would the pitch of the main note be higher or lower in frequency? 5. A hummingbird beats its wings at a rate of 70 wing beats per second. a. What is the frequency in Hertz of the sound wave? b. Assuming the sound wave travels through the air at a speed of 340m/s, what is the wavelength of the wave? 6. Two boats are anchored 4 metres apart. They bob up and down, returning to the same position every 3 seconds. When one is up, the other is down. There are never any other wave crests between the boats. Calculate the speed of the waves. (hint, the diagram is helpful).