Answer to Question #110576 in Physics for Mariline Renol

Question

3. Two horns emit sounds of frequency 365 Hz and 371 Hz. What is their beat frequency?
4. An organ pipe manufacturer wants to make a pipe that resonates with a fundamental frequency of 32.75 Hz. Assume the speed of sound in air is 343 m/s. What must the length of the pipe be if it is
a. an open pipe?
c. a closed pipe?

Answer 1

3.

$$f_b=371-365=6\ Hz$$

4.

a.

$$l=\frac{v}{2f}=\frac{343}{2\cdot 32.75}=5.24\ m$$

b.

$$l=\frac{v}{4f}=\frac{343}{4\cdot 32.75}=2.62\ m$$