F = Pressure*Area
Thus, first, we need to find pressure exerted:
The pressure exerted by a water wave on a surface can be calculated using the dynamic pressure formula:
𝑃=1/2×𝜌×𝑉square
Where:
P is the pressure exerted by the wave in Pascals (Pa).
ρ is the density of water in kilograms per cubic meter (kg/m³)
V is the velocity of the wave in meters per second (m/s).
ρ = 1000kg/m³
V = 13.88 m/s or ~14m/s (50km/hr)
Therefore, pressure = 98000 Pa
Area of dam wall (abutment) = ~500msquare
Therefore, Force = 98000*500
= **49,000,000N**
These waves occur every 15secs, thus a force of 49,000,000N is exerted on the main dam wall or abutment every 15secs.