Answer to Question #102584 in Physics for zahraa al-shadori

Question

Flutes are designed so that the frequency of middle C is 261.6Hz when all holes are covered and the temperature is 20°C. Assume that middle C is the fundamental frequency and a flute can be considered as a pipe open at both ends. The speed of sound is 343ms-1 in this situation.
a) Use a labelled diagram to represent the standing wave known as the fundamental frequency inside the flute.
b) What is the wavelength of the note middle C?
c) How long is the flute?

Answer 1

a)

b) the wavelength is equal to

$λ=\frac{v}{υ} = \frac{343}{261.6}=1.3 m$

c) The flute length is equal to

$L=\frac{λ}{2} =0.65 m$