Question

Select the correct formula of kinetic energy of a wave?

(a) \(\frac{KE}{A} = \frac{1}{4}ρa^2 × \frac{g}{g_c}\)

(b) KE = \(\frac{1}{4}ρa^2 × \frac{g}{g_c}\)

(c) KE = \(\frac{1}{4}ρa^2\)

(d) \(\frac{KE}{A} = \frac{1}{4}ρa^2\)

I had been asked this question during an interview.

This question is from Wave Energy topic in section Ocean Energy & Geothermal Energy of Energy Engineering

Answer 1

Right option is (a) \(\frac{KE}{A} = \frac{1}{4}ρa^2 × \frac{g}{g_c}\)

The best explanation: The correct formula for kinetic energy of a wave is \(\frac{KE}{A} = \frac{1}{4}ρa^2 × \frac{g}{g_c}\).

g = gravitational acceleration, m/s^2

gc = conversion factor

ρ = water density

a = amplitude

A = λL in J/m^2.