Angular frequency, phase velocity, and period

In summary, the given information includes an angular frequency of 2000pi and a phase velocity of 320m/s. The unknown variable is the period, which can be calculated using the equation T=2pi/w or 1/f. The significance of the phase velocity is not important in this problem.
  • #1
jakey
51
0

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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  • #2
The phase velocity isn't important. If you have angular velocity (w) then you can always find T using T = 2pi/w.
 
  • #3
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.
 

1. What is angular frequency?

Angular frequency, also known as angular speed, is a measure of how quickly an object rotates around a fixed point. It is represented by the symbol ω (omega) and is measured in radians per second.

2. How is angular frequency related to the period of an oscillation?

Angular frequency is inversely proportional to the period of an oscillation. This means that as the angular frequency increases, the period decreases and vice versa.

3. What is the difference between angular frequency and phase velocity?

Angular frequency is a measure of how quickly an object rotates, while phase velocity is a measure of how quickly a wave propagates through a medium. They are related, but they represent different physical phenomena.

4. How are angular frequency and phase velocity related to each other?

Angular frequency and phase velocity are related by the wavelength of a wave. The phase velocity is equal to the angular frequency multiplied by the wavelength.

5. What is the formula for calculating angular frequency?

The formula for calculating angular frequency is ω = 2πf, where f represents the frequency of the oscillation. In other words, the angular frequency is equal to 2π times the frequency.

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