Question

1. find the frequency of a wave that travels through a spring at 2.5 m/s and has a wavelength of 3m.

Explanation:

Step1: Recall the wave speed formula

The formula for wave speed 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 formula as \(f=\frac{v}{\lambda}\).

Step2: Substitute the given values

Given \(v = 2.5\space m/s\) and \(\lambda=3\space m\). Substitute these values into the formula \(f=\frac{v}{\lambda}\), so \(f=\frac{2.5}{3}\).

Step3: Calculate the frequency

\(f=\frac{2.5}{3}\approx0.83\space Hz\)

Answer:

The frequency of the wave is approximately \(0.83\space Hz\)