Chapter 17 Oscillations Flashcards
What is oscillations?
This is the number of cycles
What is the equilibrium position?
This is the starting position for an object that oscillates. In this position, the object will not move
What is displacement?
This is the distance in a specific direction away from the equilibrium position
What is amplitude?
This is the maximum displacement
Why displacement and not distance?
Because displacement has a direction
What is a period?
This is the time taken to complete one full oscillation
What is frequency?
This is the number of oscillations per second
What is phase difference?
The difference in the displacements of an oscillating object between two times
What is the symbol for phase difference? What is the unit?
Symbol:ø
Units: rad (radians)
What is angular frequency?
The motion of oscillating objects are related to angular velocity.
As an object oscillates its phase is measured using radians. Angular velocity and frequency can be related with the equation:
ω = 2πf
So the angular frequency of the oscillating object can be calculated.
What is simple harmonic motion?
This is a common type of oscillating motion where the acceleration of the object is given by the equation: a = ω^2x a = acceleration ω^2 = a constant for the object ω = the angular frequency for the object x = the displacement of the object
What are 2 key features of simple harmonic motion?
- the acceleration of the object is proportional to the displacement
- The acceleration acts in the opposite direction to the displacement
For an object doing simple harmonic motion, what can be graphed? What does the graph look like?
Acceleration against displacement
It looks like a straight line
What is the gradient of a graph of acceleration?
It is -ω^2
ω = angular frequency for the object
What happens to the period of an oscillating object as the amplitude is increased? Why?
The period does not change
As the amplitude increases so does the average speed.
What is an oscillator called that has a period that does not change with amplitude?
It is an isochronous oscillator