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Shm correct?

  1. Sep 15, 2009 #1
    1. The problem statement, all variables and given/known data
    The pistons of a 4 cylinder car engine when idling move approx. in SHM with an Amplitude of 50mm and at a frequency of 110Hz.Calculate
    *the max speed of the pistons.
    *max acceleration of the pistons.


    2. Relevant equations
    max velocity = A(omega),max acceleration =A(omega)^2, omega= 2pie/T,T=1/f


    3. The attempt at a solution
    for the first bit i did:
    Ax2pie/T
    =>0.05x2(pie)/9.09x10^-3 (from T=1/F)
    => 34.56m/s.
    The second bit is simply
    acceleration=A(omega)^2
    =>0.05 x (34.56)^2
    => 59.71m/s^2
    hm.. is this how i am supposed to do it ? :)
    Thanks in advance.
     
  2. jcsd
  3. Sep 15, 2009 #2
    Your method is fine but you have substituted the wrong value for omega in the second part of the problem. Just correct it and add a minus sign in the formula for acceleration.
     
  4. Sep 15, 2009 #3
    ermm i thought for max acceleration the formula was:A(omega)^2 and for acceleration a=-A(OMEGA)^2cos(omega)t... maybe (confused) =/
     
  5. Sep 15, 2009 #4
    Yeah, you are right. In fact, it's the same thing.

    The thing I wanted to point out was that you substituted the speed you calculated instead of the angular frequency (omega) in that second part of the problem.
     
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