Waves questions help plsss
1. An open pipe is 74 cm long. If the frequency of the first harmonic of the open tube is the same as the frequency of the first harmonic of a closed tube, how long is the closed tube?
2. Consecutive harmonics in a closed tube are 220 Hz and 660 Hz. If the speed of sound is 350ms^-1, how long is the tube?
Answers
Answer:
This calculation is shown below.
speed = frequency • wavelength. frequency = speed / wavelength. frequency = (340 m/s) / (1.35 m) frequency = 252 Hz.
speed = frequency • wavelength. wavelength = speed / frequency. wavelength = (340 m/s) / (480 Hz) ...
Length = (1/2) • Wavelength. Length = (1/2) • Wavelength. Length = 0.354 m.
Many musical instruments consist of an air column enclosed inside of a hollow metal tube. Though the metal tube may be more than a meter in length, it is often curved upon itself one or more times in order to conserve space. If the end of the tube is uncovered such that the air at the end of the tube can freely vibrate when the sound wave reaches it, then the end is referred to as an open end. If both ends of the tube are uncovered or open, the musical instrument is said to contain an open-end air column. A variety of instruments operate on the basis of open-end air columns; examples include the flute and the recorder. Even some organ pipes serve as open-end air columns.