A sound wave has a frequency of 2700Hz and wavelength of 20cm. What is it’s velocity?

Question

asked Jul 17, 2022 48.1k views

1 Answer

Alex Christodoulou · Answer 1 · 2022-07-22T14:55:11+0000

Answer:

The velocity of the sound wave is 540 meters per second.

Step-by-step explanation:

The sound is a consequence of mechanic waves, the velocity of a mechanic wave (
), in meters per second, is determined by following formula:

$v = \lambda\cdot f$ (1)

Where:

$\lambda$ - Wavelength, in meters.

$\lambda$ - Frequency, in hertz.

If we know that
$f = 2700\,hz$ and
$\lambda = 0.20\,m$ , then the velocity of the sound wave is:

$v = \lambda\cdot f$

$v = 540\,(m)/(s)$

The velocity of the sound wave is 540 meters per second.