The energy of ocean waves is directly proportional to the square of the amplitude. Therefore, if the amplitude of the ocean waves increases by a factor of 1.1, the energy will increase by the square of that factor.
Let's denote the initial amplitude as A and the increased amplitude as A'. The energy is proportional to the square of the amplitude:
Energy = k * A^2
Where k is a constant.
After the amplitude increases by a factor of 1.1, the new amplitude becomes A' = 1.1 * A. Substituting this into the equation:
New Energy = k * (1.1 * A)^2 = k * 1.21 * A^2
Comparing the new energy to the initial energy:
New Energy / Energy = (k * 1.21 * A^2) / (k * A^2) = 1.21
Therefore, the energy increases by a factor of 1.21, which is equivalent to a 21% increase.