Calculating Amplitude of Transverse Wave

  • #1
howsockgothap
59
0

Homework Statement


The wavefunction of a transverse sinusoidal wave on a string has the form y(x,t) = Acos(kx + ωt + φ), where x and y are in m, t is in seconds and φ is the phase constant in radians. The wave has a period T = 24.5 ms and travels in the negative x direction with a speed of 31.4 m/s. At t = 0, a particle on the string at x = 0 has a displacement of 2.05 cm and travels downward with a speed of 2.15 m/s. What is the amplitude of the wave?


Homework Equations



y(x,t) = Acos(kx + ωt + φ)

The Attempt at a Solution


I am genuinely up **** creek without a paddle on this one. I have no idea how to go about it. I thought it was as simple as filling in the variables but then realized that I don't have the phase constant and I don't want to assume there is none because the next part of the question asks for the phase constant. At this point all I really need is a gentle nudge in the right direction I think.
 

Answers and Replies

  • #2
Hypersphere
191
8
Well, you have two conditions at the origin, don't you? Try using both of them.
 

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