Equation Blast: Oscillations
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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