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Husker70
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Homework Statement
A transverse wave on a string is described by the wave function
y = (.120m) sin(pie/8 + 4pie(t))
(a) Determine the transverse speed and acceleration of an element of the
string at t=0.200s for the point on the string located at 1.60m
(b) What are the wavelength, period, and speed of propagation of this wave?
Homework Equations
Part (a)
Velocity = -wA cos(kx-wt)
Acceleration = -w^2A sin(kx-wt)
Part B
Wavelength = k = 2pie/lambda
Period = 1/f
Speed = f(lambda)
w = 2pief
f = w/2pie = 2.0 rad/s
The Attempt at a Solution
Part (a)
V = -(4pie) (.120m)cos(pie/8 + 2.51) I don't know what to do from here
A = -(4pie)^2 (.120m) sin(pie/8 + 2.51) I don't know what to do from here
Part (b)
Wavelength = pie/8 = 2pie/lambda = 16m
Period = 1/2.0 s^-1 = .5s
Speed f(lambda) = (2.0s^-1)(16m) = 32m/s
If anyone can help I would appreciate it.
Thanks,
Kevin