The frequency of the fundamental of the guitar string is 320 Hz. At what speed c do waves move along that string?

Complete question is The frequency of the fundamental of the guitar string is 320 Hz. At what speed c do waves move along that string? wavelength is 40 cm.

Answer:

128 m/s

Explanation:

In case where fundamental frequency is given, the speed with waves travel along the string can be calculated using the following formula:

v = f (2L) where L is the length of the string (L = λ/2)

⇒v = f λ

f = 320 Hz (given)

λ = 40 cm = 0.40 m

Substitute the values:

⇒ v = 320 Hz * 0.40 m = 128 m/s