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: DEQ/Algebra Question Solve for t

  1. Jul 22, 2011 #1
    Solved: DEQ/Algebra Question Solve for t

    1. The problem statement, all variables and given/known data

    I am having difficulty solving for t in the equation below. It is part of a DEQ question that asks at which time t does damped oscillation amplitude fall below a certain value. The relevant equation is below. My main problem is that I am having difficulty solving for t since t is a product of e and the sin function.

    2. Relevant equations

    3. The attempt at a solution
    Trying to take ln of both sides produces the following, which I am still at a loss as how to solve for t.

    Any help is greatly appreciated.
    Last edited: Jul 22, 2011
  2. jcsd
  3. Jul 22, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    The only way to solve that for t would be numerically.
  4. Jul 22, 2011 #3
    Thank you LCKurtz.

    I thought I was overlooking a simple algebraic solution and was losing hair over this!

    Thanks again!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook