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A transverse sinusoidal wave on a string has a period T=25ms andtravels in the n

ID: 1666744 • Letter: A

Question

A transverse sinusoidal wave on a string has a period T=25ms andtravels in the negative x direction with a speed of 30m/s. At t=0,an element of the string at x=0 has a transverse position of 2cmand is traveling downward with a speed of 2m/s.
What is the Amplitude of the wave? What is the initial phaseangle?
I looked at the cramster solution for this but I am lost atpart a. I've tried using the equation y =Asin(kx+wt) and I solvedfor k and w using the given information, but after realizing thatif I insert 2cm for y and 0 for x and t that I end up with 2cm = Asin(0) which is obviously dead ends me because you cant solve for Afrom there.
Any Ideas? Please explain steps, it seems that cramster usedsome variation of the transverse acceleration equation to solve forA, but I'm not entirely sure why (and when I did it, I still endedup with 0 times A equaling something)
What is the Amplitude of the wave? What is the initial phaseangle?
I looked at the cramster solution for this but I am lost atpart a. I've tried using the equation y =Asin(kx+wt) and I solvedfor k and w using the given information, but after realizing thatif I insert 2cm for y and 0 for x and t that I end up with 2cm = Asin(0) which is obviously dead ends me because you cant solve for Afrom there.
Any Ideas? Please explain steps, it seems that cramster usedsome variation of the transverse acceleration equation to solve forA, but I'm not entirely sure why (and when I did it, I still endedup with 0 times A equaling something)

Explanation / Answer

Your wave equation is not right. Phase of this wave should bekx+wt+ with be some initial phase. Using that. we have A*sin()=2cm. and A*w*cos()=2m/s. using this you can got A be sum up the square of the two above

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