find the frequency of a wave (in hertz) whose wavelength is 3.5 meters and which travels at 15.3…

find the frequency of a wave (in hertz) whose wavelength is 3.5 meters and which travels at 15.3 meters/second.

find the frequency of a wave (in hertz) whose wavelength is 3.5 meters and which travels at 15.3 meters/second.

Answer

Explanation:

Step1: Recall wave - speed formula

The wave - speed formula is $v = f\lambda$, where $v$ is the wave speed, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$.

Step2: Rearrange the formula for $f$

Rearranging $v = f\lambda$ gives $f=\frac{v}{\lambda}$.

Step3: Substitute given values

Given $v = 15.3$ m/s and $\lambda=3.5$ m. Substitute these values into the formula: $f=\frac{15.3}{3.5}$.

Step4: Calculate the frequency

$f=\frac{15.3}{3.5}\approx4.37$ Hz.

Answer:

$4.37$ Hz