1)A wave on a string is described by the relation y = A sin(75 t -0.048 x ), whe

Question

1)A wave on a string is described by the relation y =A sin(75t -0.048x), where t ismeasured in seconds and x in meters, with A =0.29 m. What is the maximum speed of apoint on the string?
solve for f by 7hz/2 =11.9 =2/0.048=131 and multiply both to get v, but gotit wrong. Please Help 1)A wave on a string is described by the relation y =A sin(75t -0.048x), where t ismeasured in seconds and x in meters, with A =0.29 m. What is the maximum speed of apoint on the string?
solve for f by 7hz/2 =11.9 =2/0.048=131 and multiply both to get v, but gotit wrong. Please Help

Explanation / Answer

Wave equation y = A sin(75t -0.048x)

Compare this with y = A sin ( wt –kx ) we get

Angular frequency w= 75 rad / s

Propagation constant k = 0.048 rad / m

Amplitude A = 0.29 m

the maximum speed of a point on the string V = A w

                                                                         = 21.75 m / s

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