A water break at the entrance to a harbor consists of a rock barrier with a 74.0 m wide opening. Ocean waves of 35.1 m wavelength approach the opening straight on. At what angle to the incident direction are the boats inside the harbor most protected against wave action

Respuesta :

Answer:

[tex]\theta=28.32 \textdegree[/tex]

Explanation:

From the question we are told that:

Width of opening [tex]w=74.0m[/tex]

Wavelength [tex]\lambda=35.1m[/tex]

Generally the equation for Angle is mathematically given by

Since the ocean diffracts

Therefore the relation

[tex]n\lambda=dsin\theta[/tex]

[tex]\theta=sin^{-1}(\frac{n\lambda}{d})[/tex]

Where

n =nth order minimal (n=1 for smallest safe angle)

Therefore

[tex]\theta=sin^{-1}(\frac{1*35.1}{74})[/tex]

[tex]\theta=28.32 \textdegree[/tex]