Waves

Waves

1. Oscillations

   • Simple Harmonic Motion
     • Restoring Force Proportional to Displacement from Equilibrium
       • F=-kx
       • Identical to Circular Motion in one dimension
         • v=Circumference/Period = (2pi*r)/T
     • Period
       • Time for one cycle
     • Frequency
       • Number of cycles per unit time
     • Angular Frequency
       • w=2*pi*f
     • f = 1/T
     • One full cycle = 2*pi
       • x=ACos(wt)
         • x(t)=ACos(wt)
     • Displacement
       • x
     • Amplitude
       • Maximum Displacement
     • F(x-axis)=-((4pi^2)*m)/(T^2) * x = -kx
       • k=(4pi^2*m)/(T^2)
         • T=2pi*sqrt(m/k)
   • Vibrations

2. Mechanical Waves

3. A disturbance from Equilibrium that travels or propagates from one region of space to another.