Question

A wave vibrates up and down 22 cycles in 7 seconds with a wave speed of 57. Calculate the

wavelength. (Round to the 2nd number after the decimal)

Answer 1

18.14m

Step-by-step explanation:

Given parameters:

Frequency =
`(22)/(7)`cycles/s

Speed of wave = 57m/s

Unknown:

Wavelength = ?

Solution:

The speed of a wave is related to frequency and wavelength using the expression below;

V = f x λ

V is the speed of the wave

f is the frequency

λ is the wavelength

Insert the parameters and find λ;

57 =
`(22)/(7)` x λ

λ = 57 x
`(7)/(22)` = 18.14m