Question

A wave has an amplitude of 2 cm. What is its energy (KW)?

Answer 1

1.962 × 10⁻³ kW

Step-by-step explanation:

The energy of a wave of a wave, such as an ocean wave, in regions of considerable water depth given its amplitude in a meter of crest and surface unit is given by the relation;

`E = (\rho * g * A^2)/(2)`

Where:

ρ = Density of water = 1000 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

A = Wave amplitude = 2 cm = 0.02 m

We therefore have;

`E = (1000 * 9.81 * (0.02)^2)/(2) = 1.962 \ (m^2 \cdot kg)/(s^2) = 1.962 \ J`

The energy is power is the energy per second which is gives;

P = E /second = 1.962 J/s = 1.962 W = 1.962 × 10⁻³ kW.