# Wave Power Formula

Wave power is the energy carried by the wind waves and consumption of that energy to do useful work, for example, electricity generation, pumping of water into the reservoirs or water desalination. A machine capable of exploiting wave power is known as a wave energy converter. Wave power is different from the diurnal flux of tidal power and the steady gyre of ocean currents. On the whole, wave power is energy transport by the wave surface of the ocean.

The Wave power formula is given by,

$P=\frac{\rho&space;g^{2}Th^{2}l}{32\pi&space;}$

Where,

P = power of water wave present in-depth (Watts)

ρ = water density (1.025 kg/m3),

g = acceleration due to gravity (9.8 m/s2),

T = wave period,

h = wave height,

l = length of the wavefront.

## Solved Examples

Example 1

The tides move with a power of 30 Watts crossing the great height of 20 m in 1 s. Determine the length of the wave.

Solution:

Given:

Power p = 30 Watts,

Height h = 20 m,

Wave period T = 1s.

The Wave power formula is expressed by,

$P=\frac{\rho&space;g^{2}Th^{2}l}{32\pi&space;}$

$l=32\pi p /\rho g^{2}Th^{2}$

=( 32 × 3.14 × 30 )/ (1.025× 1× $9.8^{2}\times 20^{2}$ )

l =3014.4/39376

Length l = 0.076 m = 7.6 cm.

The length of the wave is 7.6 cm.