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How to explain the phase in mathematics to students
Simple harmonic vibration is expressed by trigonometric function.

x=Asin(ωt+φ)

Ω is called the circular frequency, that is, Ω ω= 2πf F. The quantity Ω t+φ is the phase of simple harmonic vibration. Phase φ when. T = 0 is called initial phase, which is called initial phase for short.

Example 1 These two simple harmonic motion are:

Find out their amplitude ratio, their respective frequencies and phase differences.

Solution: The amplitude ratio is:

They have the same frequency, and they are all:

Their phase difference is:

Example 2 The picture below shows the vibration images of two spring vibrators A and B, and find their phase difference.