Question

The rate that energy is lost in a wave is inversely proportional to its wavelength, E= 1/A. Based on the data above, compare the energy loss of a tsunami hitting the coast to the energy loss of a wind generated wave hitting the coast.

Answer 1

Explanation

the rate that energy is lost in a wave is given by:

$\begin{gathered} E=\frac{1}{\lambda} \\ \text{where }\lambda i\text{s the wavelength} \end{gathered}$

so

Step 1

a)Tsumani energy lost

check in the table and let

$\lambda=160000$

now, replace in the formula

$\begin{gathered} E=\frac{1}{\lambda} \\ E=\frac{1}{160000}=0.00000625 \\ E=6.25\cdot10^{-6} \end{gathered}$

so

Step 2

b)Wind generated wave energy lost

again, check in the table to findt he wavelength

so,let

$\lambda=150$

replace in the formula

$\begin{gathered} E=\frac{1}{\lambda} \\ E=\frac{1}{150}=\text{0}.006666 \\ E=0.0067 \end{gathered}$

I hope this helps you