Question

1. a vibrating source with a frequency of 30.0 hz produces water waves that have a wavelength of 0.05m. 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 \(f = 30.0\space Hz\) and \(\lambda=0.05\space m\). Substitute into \(v = f\lambda\): \(v=(30.0\space Hz)\times(0.05\space m)\)

Step3: Calculate the value

\(v = 30\times0.05\space m/s= 1.5\space m/s\)

Answer:

The speed of the waves is \(1.5\space m/s\)