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Pitch
How high or low we perceive a sound to be, depending on the frequency of the sound wave
“highness” or “lowness” of a sound
– Corresponds to a sound’s frequency
• Factors that affect Pitch:
– Tension of string
– Length of string
• Short string = higher pitch
• Long strings = lower pitch
– Mass of string
• If increase Tension, Pitch gets higher (increase in f)
• If increase Length, Pitch gets lower (decrease in f)
• If increase mass, pitch gets lower (decrease in f)
The speed of sound depends on:
Medium
Temperature
How are frequency and period related in simple harmonic motion?
Inversely
In pendulums, Period depends on:
Length
Gravity
The lowest possible frequency of a standing wave is called ______ and occurs when n=1
Fundamental Frequency
A sound wave moving through a liquid or gas is an example of a ____ wave, where the particle motion is ____to wave propagation
Compressional
Parallel
Simple Harmonic Motion:
The back and forth, repeating motion
Frequency (f):
The number of oscillations (cycles) per second
f=# of cycles/seconds
Units: Hz
Inverse of period: f= 1/T
Period (T):
The amount of time it takes to complete one oscillation (cycle)
A cycle is one complete back and forth trip
Units: seconds (s)
Inverse of frequency T= 1/f
Amplitude (A):
The magnitude of maximum displacement from equilibrium point
Equilibrium point is resting point (location where no force is applied)
How much energy there is.
In a pendulum, it is measured in degrees.
In a spring, it is measured in meters
Wavelength(λ):
The distance between two identical points on a wave
Represents one oscillations (cycle)
Units:Meters
Pendulum:
Period (T) depends on the length of oscillation due to gravity
Does NOT depend on Mass (m) or Amplitude (A)
Spring
Period (T) depends on Mass (m) and the Spring Constant (k)
Does not depend on Amplitude (A)
Two types of waves:
Transverse
Compressional/Longitudinal
Waves transfer ____, not matter
ENERGY
Sound Waves are:
Compressional/Longitudinal waves
Light waves are:
Transverse waves
Transverse Waves:
Particles vibrate perpendicular to the direction of energy transfer
Compressional/Longitudianl Waves:
Particles vibrate parallel to the direction of energy transfer
As temp increases, speed of sound:
increases (especially in gases)
Sound travels best in solids because:
particles are closer together
Waves:
Transfer of energy, not matter (the motion of a disturbance through a medium)
Medium:
a physical environment that a disturbance can travel through.
Pulse Wave:
When a person flips a string and generates a wave
Standing Wave:
the resultant wave pattern appearing to be stationary on a string.
– Appears to be at a constant position
– Two waves with the same f, λ, and A, travelling through a medium in opposite directions.
Wave Interference:
when multiple waves pass through the same point of a medium. Two waves cross over one another, creating a single different wave. (When merge, create constructive interference)
Constructive Interference:
When the disturbance of the medium of two waves is in the same direction leading to a larger “resultant wave”
Waves “add” together to produce a larger wave
Matter can’t share space with more matter.
Energy waves can occupy the same space.
Destructive Interference:
When displacement of two waves are in opposite directions leading to a smaller “resultant” wave
Antinode:
Max energy and Displacement
Node:
No energy, zero displacement
There will always be ___ more node than antinodes.
1
Fundamental Frequency:
The lowest possible frequency of a standing wave
n = number of antinodes = harmonic number
When n = 1, have First Harmonic
Harmonics:
Multiples of fundamental frequency
Overtones:
Harmonics heard on top of the fundamental
frequency
– Gives instruments their sound quality or “timbre”
– For Strings, Overtone = (n – 1)
Resonance:
when one object vibrates at the same natural frequency as a second object, forcing the second object into vibrational motion.
ex. breaking a glass by voice
Frequency in Pipes:
Air is what is vibrating
An open pipe has:
two open ends
Always have an antinode at the open ends of a pipe.
Fundamental frequency is ½ of a wave
Closed Pipes:
Pipe with one open end and one closed end.
Antinode at open end
Node at closed end
Fundamental Frequency is ¼ of a wave, but you still add ½ of a wave with each harmonic.
ONLY HAVE ODD-NUMBERED HARMONICS!
Compressions (air):
areas of high pressure/density
Rarefactions (air):
areas of low pressure/density
Echo:
Reflected sound wave
Reflection:
-“bouncing” back of waves off a surface
Refraction:
“Bending” of waves due to a change in medium
Diffraction:
“bending” of waves due to obstacles
Beats:
Provided by superposition of two sounds that are not at the same frequency.
Doppler Effect:
The apparent change in the frequency of a sound caused by the relative motion between the source of the sound and the observer
A moving sound source will sound higher (High Pitch = High frequency) as it approaches the listener.
A lower sound (low pitch = low frequency) will occur as it moves away from the listener.
Waves in front of the moving object “bunch” or “compress” while waves behind the object “spread out” or “elongate”.
Occurs with all types of waves.
Sonic Booms:
If the velocity of the sound source is faster than the speed of sound in the medium, it creates a shock wave called a “sonic boom”
ex. cracking a wip