Exam 1 Flashcards
what do waves carry?
energy and information by propagation
define longitudinal wave
when the disturbance is in the direction of propagation
define transverse wave
when the disturbance is perpendicular to the direction of propagation
which types of waves don’t require a medium to propagate in?
light waves
define amplitude
maximum displacement of a point from its equilibrium position
define wave speed
the speed (v) at which the disturbance travels
define wave velocity
velocity at which the wave (one of its peaks) travels in the direction of propagation
it is a vector in the direction of propagation with magnitude v
define period
the period (T) is the time it takes for a point on the wave to go through one complete cycle of oscillation
define frequency
the frequency (f) of a wave is the number of complete cycles that pass through one point per unit time
what 5 parameters are waves characterized by?
amplitude
frequency
period
wavelength
wave velocity
what can harmonic/sinusoidal waves be described by?
a sine or cosine function
define the superposition principle
if 2+ traveling waves overlap, the resultant disturbance (wave) is the sum of the disturbances of the individual waves
*good assumption for small waves
when are phase differences valid?
for two harmonic waves with identical wavelength and frequency with a shift of delta x between them
define collinear waves
when two otherwise identical waves with a phase difference travel in the same direction, the resulting wave has the same f and wavelength but the A depends on the phase shift
define out of phase waves
two waves with ID A and wavelength and a phase shift of pi between them travel in the same direction
the resultant wave’s amplitude is 0!
this is called destructive interference
define destructive interference
when the phase shift = pi, 3pi, 5pi, etc…
Amplitude of two waves with ID A and wavelength with this phase shift will have a resulting wave amplitude of 0
constructive interference
when the phase shift = 0, 2pi, 4pi, etc
the sum of the wave’s amplitude will be 2A
Closed ended wave
the reflection of the wave will be inverted; destructive interference
open ended wave
reflected wave will not be inverted; constructive interference
phase shift from a closed end
a periodic wave that is reflected from a closed end is shifted by half a wavelength from one that is reflected by an open end
define counterpropagating wave
original and reflected waves interact and lead to standing waves
define standing waves
a standing wave is a wave which oscillates in time but whose peak amplitude profile doesn’t move in space
define a node
locations on a wave where displacement is 0 at all times
define anti-node
locations where the displacement oscillates with maximum amplitude