Why are waves called perpetuaing waves

I believe you're referring to the term "perpetuating waves." However, the correct term for the type of waves you may be referring to is "periodic waves." Periodic waves are a particular type of waves in which the pattern repeats over time.

The term "perpetuating" implies that the waves continue indefinitely without stopping. However, this is not the case. Waves, including periodic waves, eventually diminish and dissipate over distance or time due to various factors like friction and absorption.

To understand why periodic waves are called as such, we need to consider their defining characteristic, which is their periodicity. Periodicity refers to the fact that the wave pattern repeats itself identically over a specific interval of time, known as the period.

For example, when you observe waves in the ocean, you'll notice that the shape and pattern of the waves repeat as they come to shore. This regular repetition of the wave pattern is why they are called periodic waves.

To study or describe the behavior of these waves, scientists and mathematicians use mathematical models such as sine or cosine functions, which exhibit repetitive patterns. These mathematical models help us understand and predict how periodic waves propagate and interact with their surroundings.

So, the term "periodic" is used to describe waves that exhibit a repeating pattern over a specific interval of time, rather than "perpetuating" waves that continue indefinitely.