Question

1. a wave traveling at 230 m/sec has a wavelength of 2.1 meters. what is the frequency of this wave?

Explanation:

Step1: Recall the wave equation

The wave equation is \(v = f\lambda\), where \(v\) is the wave speed, \(f\) is the frequency, and \(\lambda\) is the wavelength. We need to solve for \(f\), so we can rewrite the equation as \(f=\frac{v}{\lambda}\).

Step2: Substitute the given values

Given \(v = 230\space m/sec\) and \(\lambda=2.1\space m\). Substitute these into the formula: \(f=\frac{230}{2.1}\).

Step3: Calculate the value

\(f=\frac{230}{2.1}\approx109.52\space Hz\)

Answer:

The frequency of the wave is approximately \(109.52\space Hz\)