Question

1. a vibrating source with a frequency of 20.0 hz produces water waves that have a wavelength of 0.03m. calculate the speed of the waves.

Explanation:

Step1: Recall the wave speed formula

The formula for the speed of a wave is \(v = f\lambda\), where \(v\) is the wave speed, \(f\) is the frequency, and \(\lambda\) is the wavelength.

Step2: Substitute the given values into the formula

Given \(f = 20.0\space Hz\) and \(\lambda=0.03\space m\), substitute into \(v = f\lambda\). So \(v=(20.0\space Hz)\times(0.03\space m)\)

Step3: Calculate the wave speed

\(v = 20.0\times0.03= 0.6\space m/s\)

Answer:

The speed of the waves is \(0.6\space m/s\)