1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What does f_0 mean?

  1. Dec 18, 2013 #1
    I found this equation for driven oscillators, and am unsure what the F_0 means, and how it's used. Can someone please briefly explain this?
    Also, I don't get what the difference is between the initial and final omega. (how can there be a final omega if it's constantly increasing?!?!?)
     

    Attached Files:

  2. jcsd
  3. Dec 18, 2013 #2

    jhae2.718

    User Avatar
    Gold Member

    ##F_0## is the amplitude of a sinusoidal forcing function, ##\omega_0## is the undamped natural frequency of the system, and ##\omega## is the frequency of the forcing function, which looks something like ##f(t)=f_0\sin(\omega t)## or ##f(t)=f_0\cos(\omega t)##.

    The definition of ##\omega## shown is also the damped natural frequency of the system.
     
    Last edited: Dec 18, 2013
  4. Dec 18, 2013 #3
    So are the units for F_0 meters? (So it's not a force?)
    Thanks.
     
  5. Dec 18, 2013 #4

    jhae2.718

    User Avatar
    Gold Member

    ##F_0## has dimensions of force. You can easily see this by looking at the dimension of each part of the expression. Consider [tex]f(t)=f_0 \cos(\omega t).[/tex] The dimension of ##t## is of course time, and the dimension of ##\omega## must be angle/time so that ##\omega t## has dimensions of an angle (e.g. radians). This must be so, as, for example, what is the cosine of a second? It's meaningless. Since ##f(t)## is a force, and ##\cos(\omega t)## is dimensionless, it must be that ##f_0## has the dimensions of force, e.g. newtons for SI.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: What does f_0 mean?
  1. But what does it mean? (Replies: 3)

  2. What does rest mean? (Replies: 16)

  3. What does paradox mean? (Replies: 19)

Loading...