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dwong
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Homework Statement
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.
Homework Equations
y=Asin(kx-wt+phi)
w=2pi/T
v=w/k
v=lamdbaf
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