Question

A transverse wave is described by the expression y= 0.05 cos(5.25x-1775t) 1- What is the wavelength of this wave?​

Answer 1

1.196 m

Step-by-step explanation:

Given the wave equation :

y= 0.05 cos(5.25x-1775t)

Recall the general traverse wave relation :

y(x, t) = Acos(kx - wt)

A = Amplitude

To Obtian the wavelength ;

We compare the both equations :

Take the value of k ;

kx = 5.25x

k = 5.25

Recall;

k = 2π/λ

5.25 = 2π/λ

5.25λ = 2π

λ = 2π / 5.25

λ = (2 * 3.14) / 5.25 = 1.196 m