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!

Homework Help: Simple Harmonic Motion

  1. Nov 4, 2009 #1
    1. Angular frequency is introduced into the analysis of simple harmonic motion because:

    1. Because the unit of hz is not a convnient unit for frquency. 2. to create a mathematical relationship between displacement and time. 3. To create a link between mass and frequency of vibration. 4. Because vibration is naturally circular

    3. I think 4. Naturally circular
  2. jcsd
  3. Nov 4, 2009 #2

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    Try 2. The reason angular frequency is used in simple harmonic motion is mathematical - SHM is described mathematically by a sinusoidal function. The general solution to the differential equation:

    [tex]\ddot s = - ks[/tex]

    is a sin wave [itex]s = Asin(\omega t + \phi)[/itex] So the position, s, varies with time exactly the same way that the sin of the angle varies when something undergoes uniform circular motion.

  4. Nov 4, 2009 #3
    Advice appreciated
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook