Question

swyk: wave calculations
a wave along a guitar string has a frequency of 540 hz and a wavelength of 2.5 meters. calculate the speed of the wave.

Explanation:

Step1: Recall the wave speed formula

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

Step2: Substitute the given values

We know that \( f = 540 \, \text{Hz} \) and \( \lambda = 2.5 \, \text{m} \). Substituting these into the formula: \( v = 540 \, \text{Hz} \times 2.5 \, \text{m} \).

Step3: Calculate the product

\( 540 \times 2.5 = 1350 \). So the speed \( v = 1350 \, \text{m/s} \).

Answer:

The speed of the wave is \( 1350 \, \text{m/s} \).