Results 1 to 4 of 4

Math Help - [SOLVED] Application of calculus for finding expression?

  1. #1
    Super Member fardeen_gen's Avatar
    Joined
    Jun 2008
    Posts
    539

    [SOLVED] Application of calculus for finding expression?

    Power transmitted along the string by a sinewave is given by P = μ*ω^2*A^2*v*cos^2 (ωt - kx). Find expression for average power over t = 0 to t = T.
    [ω = 2π/T]

    How to do it? Please explain all the steps.




    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by fardeen_gen View Post
    Power transmitted along the string by a sinewave is given by P = μ*ω^2*A^2*v*cos^2 (ωt - kx). Find expression for average power over t = 0 to t = T.
    [ω = 2π/T]

    How to do it? Please explain all the steps.




    Is everything assumed to be a constant that isn't t? In other words what is the variable as to which we are supposed to be differentiating in respect to?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member fardeen_gen's Avatar
    Joined
    Jun 2008
    Posts
    539
    I dont know for sure myself. But since the question asks for expression over t= 0 and t = T, i think w.r.t t. I think we have to assume the others to be a constant.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by fardeen_gen View Post
    I dont know for sure myself. But since the question asks for expression over t= 0 and t = T, i think w.r.t t. I think we have to assume the others to be a constant.
    I assmume it wants this

    Let P\left(\mu,\omega,A,v,t,k,x\right) represent that ugly thing, then the average on t=0\to{t=T} would be

    P\left(\mu,\omega,A,v,t,k,x\right)_{\text{average}  }=\frac{1}{T}\int_0^{T}P\left(\mu,\omega,A,v,t,k,x  \right)dt
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Application of calculus
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 23rd 2011, 01:11 AM
  2. Application of calculus
    Posted in the Calculus Forum
    Replies: 15
    Last Post: January 30th 2011, 10:47 AM
  3. Application of calculus
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 12th 2009, 03:56 AM
  4. Application of calculus?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 29th 2008, 07:10 AM
  5. calculus application
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 30th 2006, 12:06 PM

Search Tags


/mathhelpforum @mathhelpforum