Question

At a country music festival, a band is playing at the end of a crowded

1947 m field when one of the players hits a note on the keyboard that has
a frequency of 400 Hz. (HINT-find the wavelength first) How many full
wavelengths are there between the stage and the last row of the crowd?

Answer 1

2270 full wavelengths.

Step-by-step explanation:

The wavelength
`\lambda` of the sound wave (assuming sound speed of
`v= 343m/s`) is

`\lambda = (v)/(f) = (343m/s)/(400hz)`

`\lambda = 0.8575m`.

Now, assuming the distance to the last row is 1947m, the number
`n` of wavelengths that fit into this distance are

`n = (1947m)/(0.8575m)`

`n= 2270.55`

which is 2270 full wavelengths.

Hence, there are 2270 full wavelengths between the stage and the last row of the crowd.