Results 1 to 3 of 3

Math Help - oscillation with trig formula

  1. #1
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271

    oscillation with trig formula

    An oscillating particle has displacement y metres, where y is given by y=asin(kt + A), where a measured in metres, t is measured in seconds and k and A are constants. The time for a complete oscillation is T seconds.
    Find k in terms of T.

    so T must be 4x(length of time taken for the particle to move from y=0 to y=a its maximum displacement)
    This length of time therefore can be found using sin(kt + A)=1
    so t=(90 - A)/k
    so
    T=4t=(360-4A)/k

    now to eliminate A
    y=0 at t=0, meaning 0=asin(0 + A)
    so sinA = 0, A=0

    T=360/k

    Is this reasoning correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Siron's Avatar
    Joined
    Jul 2011
    From
    Norway
    Posts
    1,250
    Thanks
    20

    Re: oscillation with trig formula

    I think you can write also (a shorter way):
    In general if you've an oscillation given by:
    y=A\sin(\omega\cdot t+a)
    Then the pulsation \omega is \omega=\frac{2\pi}{T} where T is the period. In this case \omega=k therefore k=\frac{2\pi}{T}\Leftrightarrow T=\frac{2\pi}{k}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271

    Re: oscillation with trig formula

    sorry bro no idea what a pulsation is, never learnt, so i'm pretty sure i can't use it in my answer
    thanks though i'll think of you when i get around to learning it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. oscillation behaviour
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: December 27th 2010, 03:13 PM
  2. Oscillation
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: June 3rd 2010, 03:03 PM
  3. oscillation
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: May 30th 2010, 01:31 PM
  4. Oscillation(What is it?)
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 24th 2010, 11:11 AM
  5. pde a chain oscillation
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: March 16th 2010, 06:31 AM

Search Tags


/mathhelpforum @mathhelpforum