a traveling wave is expressed by y(x,t) = 22 sin (0.7x -1.3t + 0.25) where x is

Question

a traveling wave is expressed by y(x,t) = 22 sin (0.7x -1.3t + 0.25) where x is in meters. t is in seconds and =0.25 radians. a) the maximum displacement of y is? b)the wavelegnth of this traveling wave is? c)at x = 0 and t = 0, the displacement of y is? d)At x = 1, t = 2, the displacement of y is? a traveling wave is expressed by y(x,t) = 22 sin (0.7x -1.3t + 0.25) where x is in meters. t is in seconds and =0.25 radians. a) the maximum displacement of y is? b)the wavelegnth of this traveling wave is? c)at x = 0 and t = 0, the displacement of y is? d)At x = 1, t = 2, the displacement of y is?

Explanation / Answer

a) the maximum displacement of y is? since in general y(x,t) = ymax sin(kx -t + ) ymax = 22m b)the wavelegnth of this traveling wave is? Again y(x,t) = ymax sin(kx - t + )we have k=2/=0.7 =2/k = 2/0.7 = 8.98 m c)at x = 0 and t = 0, the displacement of y is? since y(x,t) = 22 sin (0.7x - 1.3t + 0.25) y(0,0) = 22 sin (0.7 x 0 - 1.3 x 0 + 0.25) y(0,0) = 22 sin ( 0.25) y(0,0) = 5.44 m d)At x = 1, t = 2, the displacement of y is? similarly y(1,2) = 22 sin (0.7x1 - 1.3x2+ 0.25) y(1,2) = 22 sin ( - 1.65 ) y(1,2) = -21.9 m

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