Oscillations Flashcards
Displacement
Distance of oscillator from equilibrium position
Amplitude
Max. displacement from equilibrium position
Period
Time taken to complete an oscillation
Frequency
Number of complete oscillations per second
Angular frequency
Rate of change of angular displacement
angular speed formula?
w= 2π/T= 2πf
Phase difference def
how much one oscillator is in front/ behind another
Simple harmonic definition
4 points
occurs when acceleration is directly proportional to displacement from a ** fixed position** and is in the opposite direction for periodic oscillations
Three requirements for s.h.m of a mechanical system are
- mass that oscillates
- position where mass is in equilibrium
- restoring force to bring mass back to equilibrium
Curve for displacement time graph
Sine
Curve for speed time graph
Cosine
curve for acceleration time graph
opposite direction (where sin is positive, it will be negative) of displacement
3 Equations of SHM
x=xₒsin(wt)
v=vₒcos(wt)
v= ±w√(xₒ² - x²)
Maximum speed of an oscillator
v= wxₒ
Two energy changes in SHM
Gains PE as it moves away from equilibrium
Gains KE as it moves towards equilibrium