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Homework Help: IS tis corresct about Amplitud, frquency, Period, & Energy

  1. Nov 29, 2008 #1
    A 424 g mass vibrates according to the equation x=0.342 sin(5.20t) where x is inn meters and t is in seconds. Find the amplitud, frquency, period, total energy, kinetic energy when x=12.0 cm, and potencial nergy when x-12.0 cm.

    Amplitud=0.342

    w=2*pi*frequency
    frequency=(2*pi)/w=(2*pi)/(5.20)=1.208 Hz

    Period= 1/frequncy=1/1.208= 0.828

    E=1/2*k*x^2
    in the amplitud it is
    E=(1/2)*(k)(0.342)^2

    but k= (w^2)*m=(5.20^2)*(0.424)=11.46

    E=(1/2)*(11.46)*(0.342^2)= 0.670 J

    Potenicial Energy= 1/2*k*x^2
    =(1/2)*(11.46)*(0.12^2)=8.25 x 10^-2 J

    Kinetic Energy= Total - Potencial= 0.670 J - 8.25x10^-2 J = 0.5875 J


    Is all this problem correct or not?....
     
  2. jcsd
  3. Nov 29, 2008 #2
    Everything looks right, assuming no calculation errors.
     
  4. Nov 29, 2008 #3
    ok thanks...
     
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