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Question Number 154966 by n0y0n last updated on 23/Sep/21

 we know  y=asin(ωt−kx) is   equation of wave   which velocity will be (ω/k)    But what  will be the velocity of     a wave that is created from   superposition of two sine wave of   different velocity like bellow     y=5sin(6t−x)cos(13t−6x) ?

$$\:\mathrm{we}\:\mathrm{know}\:\:\mathrm{y}=\mathrm{asin}\left(\omega\mathrm{t}−\mathrm{kx}\right)\:\mathrm{is}\: \\ $$$$\mathrm{equation}\:\mathrm{of}\:\mathrm{wave} \\ $$$$\:\mathrm{which}\:\mathrm{velocity}\:\mathrm{will}\:\mathrm{be}\:\frac{\omega}{\mathrm{k}} \\ $$$$\:\:\mathrm{But}\:\mathrm{what}\:\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\: \\ $$$$\:\:\mathrm{a}\:\mathrm{wave}\:\mathrm{that}\:\mathrm{is}\:\mathrm{created}\:\mathrm{from} \\ $$$$\:\mathrm{superposition}\:\mathrm{of}\:\mathrm{two}\:\mathrm{sine}\:\mathrm{wave}\:\mathrm{of}\: \\ $$$$\mathrm{different}\:\mathrm{velocity}\:\mathrm{like}\:\mathrm{bellow} \\ $$$$\:\:\:\mathrm{y}=\mathrm{5sin}\left(\mathrm{6t}−\mathrm{x}\right)\mathrm{cos}\left(\mathrm{13t}−\mathrm{6x}\right)\:?\: \\ $$

Commented by n0y0n last updated on 23/Sep/21

to see the wave visit this desmos link :     https://www.desmos.com/calculator/xd0rmoagwf

to see the wave visit this desmos link : https://www.desmos.com/calculator/xd0rmoagwf

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