what is the speed (velocity) of a wave on a guitar string with a frequency of 2 Hertz and a wavelength of 2.5 meters?

5m/s

Explanation:

Guitar strings moves like a wave, hence, it possesses a wavelength. Wavelength is the distance between the two wave crests. It is denoted by lambda (λ).

The wavelength of this guitar string in the question can be using the formula: λ = v/f.

Where; λ = wavelength

v = velocity or speed

f = frequency

According to the question,

λ = 2.5meters

f = 2 Hertz

v = ?

To calculate the velocity, we make v (speed) the subject of the formula, λ = v/f

We have; v = λf

We input the values of frequency (2Hz) and wavelength (2.5m) into the formula

We have; v = 2.5 * 2

v = 5

Hence, the velocity or speed of the string is 5m/s.