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Equation Blast: Oscillations


goalkeeper0

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While some are contemplating the end of the world, I am studying for physics. Here are the essential oscillations equations to know for our test tomorrow.

Oscillations (Includes SHM, Springs, Pendulums):

F=-kx

xmax=A

vmax=Aw

amax=Aw2

T=1/f and f=1/T

w=angular frequency=2(pi)f=2(pi)/T

v=wr

Potential Energy= (1/2)kA2cos2(wt)

Kinetic Energy= (1/2)kA2sin2(wt)

Total Energy= (1/2)kA2

x(t)= Acos(wt + phase shift)

v(t)= Awsin(wt + phase shift)

a(t)= -Aw2cos(wt + phase shift)

Tspring= 2(pi)[m/k]1/2

For use with pendulums only:

Tpendulum= 2(pi)[L/g]1/2

w=[(mgL)/(Ip)]1/2

w=[g/L]1/2

Also, from past units, the torque equations are handy, along with the moment of inertia equations.

STUDY!!!

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