Angular frequency, phase velocity, and period

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The discussion revolves around calculating the period (T) from the given angular frequency (w) of 2000π. The relevant equations include T = 2π/w and the relationship between phase velocity and wavelength. There is confusion regarding the significance of phase velocity in this context, with some participants suggesting it is not crucial for finding T. A calculation error is noted, as T should be 1x10^-3 instead of pi x 10^3. The conversation highlights the importance of correctly applying formulas to derive the desired values.
jakey
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Homework Statement


Given: angular frequency=2000pi
phase velocity=320m/s
period=? unknown


Homework Equations


f=w/2pi; w=omega. T=1/f. phase velocity = lambda/T

The Attempt at a Solution


i don't know what the sgnificance of the phase velocity is. this is because from 1/T = w/2pi, i can already compute the T=2pi/w or 1x10^-3. unfortunately, it s not in the choices. can someone help? thanks!
 
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The phase velocity isn't important. If you have angular velocity (w) then you can always find T using T = 2pi/w.
 
jakey said:
T=2pi/w or 1x10^-3. unfortunately, it s not in the choices. can someone help? thanks!

2pi/w should give piX10^03, not 1X10^-3.
 
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