a transverse wave with a frequency of 125 hz is traveling in the x - direction. how long will it take this…

Explanation:

Step1: Determine the wave - speed formula

The speed of a wave is given by $v = f\lambda$, where $f$ is the frequency and $\lambda$ is the wavelength. From the diagram, the wavelength $\lambda= 10\ m$ (the distance between two consecutive crests or troughs). Given $f = 125\ Hz$.

Step2: Calculate the wave speed

$v=f\lambda=125\ Hz\times10\ m = 1250\ m/s$.

Step3: Use the speed - distance - time formula

The formula for speed is $v=\frac{d}{t}$, where $d$ is the distance and $t$ is the time. We want to find $t$, and we know $d = 3000\ m$ and $v=1250\ m/s$. Rearranging for $t$ gives $t=\frac{d}{v}$.

Step4: Calculate the time

$t=\frac{3000\ m}{1250\ m/s}=2.4\ s$.

Answer:

2.4 seconds