Question

(Acoustics).
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 labeled 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

Wavelength is $\lambda = \frac{v}{\nu} = \frac{343}{261.6} =$ 1.3(m),

accordingly, the flute length $l = \frac{\lambda}{2} = 0.65 (m).$