Chapter 12, Problem 32P

To determine

The length from the mouthpiece of the flute and should the hole be uncovered to play above middle C at 294 Hz.

Answer to Problem 32P

L = 0.58 m

Explanation of Solution

Given:

Frequency( f ) = 294 Hz,

Velocity ( V ) = 343 m/s.

Determine the distance of the flute ( L ) =?

Formula used:

  $L=\frac{f}{2V}$ m.

Calculation:

The length of the mouth piece from the flute can be determined by the equation,

  $L=\frac{f}{2V}$ m,

Substitute the values in the equation,

  $L=\frac{343}{2\times 294}\text{ m}$

  $L=0.58\text{ m}$ .

Th Length of the mouth piece is 0.58 m.

Conclusion:

The length of the mouthpiece is 0.58m.