In general, changing the amplitude of a wave does not directly affect its frequency. The frequency of a wave is determined by the rate at which the wave oscillates or repeats, while the amplitude refers to the maximum displacement or intensity of the wave.
In simple harmonic motion, such as the oscillation of a pendulum or a mass-spring system, the frequency remains constant regardless of the amplitude. For example, a pendulum with a long or short swing will still oscillate at the same frequency, as long as other factors such as the length and gravitational acceleration remain constant.
However, in some nonlinear systems, changes in amplitude can indirectly affect the frequency of the wave. Nonlinearities can introduce coupling between different frequency components, causing frequency shifts or the appearance of additional frequencies as the amplitude changes. This behavior is commonly observed in complex systems and can lead to phenomena such as harmonic generation, subharmonics, or frequency mixing.
In summary, while the amplitude of a wave does not directly change its frequency, nonlinear effects can introduce frequency shifts or the emergence of additional frequencies as a result of changes in amplitude.