# Question 2808f

May 23, 2015

The velocity of sound is equal to its wavelength times its frequency in Hz. $v = \lambda f$, where $l a m b a$ is the wavelength and $f$ is the frequency. 1 Hertz=$\frac{1}{\text{s}}$

Scientists have detected infrasonic sound waves with frequencies as low as 13 Hz being produced by elephants. Assuming a speed of sound of 350 m/s, determine the wavelength of these sound waves.

Given:
$f = 13 \text{Hz"=13/"s}$
$v = 350 \text{m/s}$

Unknown:
$\lambda$

Solution:
Solve $v = \lambda f$ for $\lambda$ .

lambda=v/f=(350m/cancel(s))/(13/cancel"s") = 27"m"#