A sinusoidal wave moving along a string is shown twice in the figure, as crest A

Question

A sinusoidal wave moving along a string is shown twice in the figure, as crestAtravels in the positive direction of anxaxis by distanced= 6.1 cm in 4.3 ms. The tick marks along the axis are separated by 10 cm; heightH= 6.40 mm. If the wave equation is of the formy(x, t) =ymsin(kx ?t), what are(a)ym(in mm),(b)k,(c)?, and(d)the correct choice of sign in front of?(1 depicts "+" and 0 depicts "-")?

Chapter 16, Problem 9 Chapter 16, Problem 9 A sinusoidal wave moving along a string is shown twice in the figure, as crestAtravels in the positive direction of anxaxis by distanced= 6.1 cm in 4.3 ms. The tick marks along the axis are separated by 10 cm; heightH= 6.40 mm. If the wave equation is of the formy(x, t) =ymsin(kx ?t), what are(a)ym(in mm),(b)k,(c)?, and(d)the correct choice of sign in front of?(1 depicts + and 0 depicts -)?

Explanation / Answer

V=d/t =6.1cm/4.3ms =6.1*10-2/4.3*10-3 =14.2m/s

=4x =4*10*10-2 =0.4m

k=2/=2/0.4= 15.7 N/m

f=V/ =14.2/15.7=0.9Hz

V=2fYmm=>Ymm=V/2f

a)Ymm =14.2/2*0.9 =2.5mm

b)K=15.7N/m

c)waht is ?

i think =2f =2*0.9 =5.68rad/s

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