Confused about definition of wavelength

AI Thread Summary
The wavelength of a sinusoidal wave is defined as the spatial period, measured between repeating points on the wave. When considering waves as functions of time, the relationship between time and wavelength can be confusing, as the time axis reflects the wave's period rather than its spatial wavelength. The period is the time it takes for one complete cycle, which is inversely related to frequency. Some participants argue that if a wave is expressed in time, it should be referred to as the period of oscillation, not the wavelength. Understanding these concepts requires careful plotting of waves with clearly labeled axes to clarify the relationship between time, wavelength, and frequency.
V0ODO0CH1LD
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Wavelength of a sinusoidal wave is defined as the spatial period of the wave, which can be measured between any two points on the wave where the shape repeats. But if my wave is defined as a function of time (like those of a simple harmonic oscillator), how can you say the distance along the time axis is the wavelength? Am I measuring something else that just happens to be equal to the distance between two points in the same phase along the time axis? How can the time axis determine the wavelength of a wave? Also; isn't that distance the period? The amount of time it takes for the wave to complete one cycle? In which case the velocity of the wave would always equal one?
 
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V0ODO0CH1LD said:
Wavelength of a sinusoidal wave is defined as the spatial period of the wave, which can be measured between any two points on the wave where the shape repeats. But if my wave is defined as a function of time (like those of a simple harmonic oscillator), how can you say the distance along the time axis is the wavelength?

Who says it is a wavelength?

In that case, this is now known as the period of oscillation, which you stated later.

Zz.
 
But if my wave is defined as a function of time,,,,

you mean just like a sine wave?

Time relates directly to frequency...they are inverses...

If you don't get what I mean, just plot some waves and LABEL the axes you choose to use...
 
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