Three travelling waves with different amplitudes and phase angles (but same wave

Question

Three travelling waves with different amplitudes and phase angles (but same wavelength and direction of travel) interfere on a string: y'(x, t)= A.sin(kx-ot+ 1 ) 1 i where: (A1, A2, A3) = (7, 7, 11) [units are mm] (1, 2, 3) = (0, +/4, +m/2) [units are rad] a.) Fill in the quantities for the resultant travelling wave seen on the medium: y(x,t) = ( 199 mm) . sin (kx-ut + 0295 x rad) b.) (NOT FOR CREDIT) Draw a phasor diagram for t-0. Make sure you know how it evolves over time. 19.9 Submit Answer Save Progress

Explanation / Answer

y(x,t) = 7 sinwt + 7 sin (wt + /4) + 11 sin ( wt + /2)

= 7 sin (wt + /8) cos ( /8) + 11 sin (wt + /2)

= 12.9343134552 sin ( wt + /8) + 11 sin (wt + /2)

= 19.929649 sin (wt + 0.927799517)

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