(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A transverse sinusoidal wave on a string has a period T = 31.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s.

2. Relevant equations

y=Asin(kx-wt+phi)

w=2pi/T

v=w/k

v=lamdbaf

3. The attempt at a solution

Firstly, I changed the period to T=.031sec.

Solved for Omega = 2pi/(.031) = 202.6834 rad/sec

Solved for lamdba = v/f = .9299

Solved for k = 6.756

To find phi, I differentiated the y equation for v(y), then got the equation

v/v(y) = tan(phi)/-w

I got phi = 1.1125, but it is not correct. Please help. Thank you

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# Homework Help: Traveling Waves

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