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

Step-by-step explanation

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

`\begin{gathered} E=(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=(1)/(\lambda) \\ E=(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=(1)/(\lambda) \\ E=(1)/(150)=\text{0}.006666 \\ E=0.0067 \end{gathered}`

I hope this helps you