How does the amplitude of a wave affect its period?

The amplitude of a wave does not affect its period. The period of a wave is determined by its frequency, which is the number of complete cycles of the wave that occur in a given time period. The amplitude of a wave, on the other hand, is the maximum displacement of the wave from its equilibrium position. Changing the amplitude of a wave will not change the time it takes for one complete cycle of the wave to occur.