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: Max speed perpendicular to the wave's direction

  1. Aug 25, 2010 #1
    1. The problem statement, all variables and given/known data
    This question is part of a longer problem. I know the answer, but I don't know how they got their. Please provide a detailed explanation. Thanks.

    Question: Find the maximum speed perpendicular to the wave's direction of travel (the transverse speed).


    2. Relevant equations
    The book gives a hint: find amplitude of dy/dt. Therefore, dy/dt=2cos(4x-2t)

    3. The attempt at a solution
    Period= pi
    Lambda= pi/2
    Frequency= 1/pi
  2. jcsd
  3. Aug 25, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Incorrect. You forgot to apply the chain rule of differentiation.
  4. Aug 25, 2010 #3
    here u have to take x=0 as u r considering the perpendicular velocity. So once u assume that differentiate it and then u will get the max. value
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook