Two particles with different angular frequencies are in the same phase periodically with a constant time interval. Explain. Particles with ω 1 = 6 π rad/s and ω 2 = 8 π rad/s start in phase at t =

Question

Two particles with different angular frequencies are in the same phase periodically with a constant time interval. Explain. Particles with ω 1 ​ = 6 π rad/s and ω 2 ​ = 8 π rad/s start in phase at t = 0 . When are they next in phase, in s?

TestHub · Accepted Answer

Phase difference = ( ω 2 ​ − ω 1 ​ ) t grows linearly and equals 2 π every 2 π / ( ω 2 ​ − ω 1 ​ ) . With ω 2 ​ − ω 1 ​ = 2 π , the interval is 1 s.

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