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frequency (f) is the…
# of cycles/time
the unit for frequency
Hertz (Hz)
period (T) is…
1/f
Characteristics of a Wave
a wave is a ripple in TIME and SPACE
All waves are created by a vibrating space
Waves transport energy
crest
the highest peak of a wave
amplitude
the distance (length) of a wave from equilibrium
lambda (λ)
wavelength, how wide each wave is from a cycle
trough
the lowest point of a wave
wave equation
v = f × λ
frequency ≡ pitch
amplitude ≡ volume
ultrasound
above sound
infrasonic
below sound
echo (round trip)
∆s= v∆t/2
formula for intensity
I (intensity of sound) = Power/ Area
Area of a sphere: 4πr²
What is β?
β = 10log(I/I₀)
I₀: 10⁻¹² ω/m² or IE-12 ω/m²
At the thereshold of hearing, β = ?
0 dB
Harmonic formula of a closed tubes
fₙ = nv/4l
n = 1,3,5,7,9…
Harmonic formula of an open tube
fₙ= nv/2l
n = 1,2,3
Mechanical Waves
need a medium to travel through (ex: sound or slinky)
Transverse waves
vibrate perpendicular to the motion vibration (ex: light and water waves)
Longitudinal waves
sound waves
Electromagnetic Waves
do NOT need a medium but it CAN travel through one
can travel through a vacuum (space) where they are FASTER
also produced by a vibrating source of electrons
ex: microwaves, ultraviolet t(sun) rays, gamma rays, x-rays, infrared rays, and radio
Resonance
are forced vibrations
ex: instruments
change the amplitude
Doppler Effect
the apparent (not actually) change in frequency due to relative motion
sound (car honking or fire truck siren)
the frequency ≡ pitch (it is higher and screechier as it comes towards you, then lower as it goes away from you)
light ≡ Red shift
frequency ≡ color
Reflection
to bounce back
Tight-end
out of phase
Loose end
inphase
Refraction
to bend due to change of speed
only get refraction when you change mediums
Defraction
to spread out because the wave is bigger than the opening
Interference (to combine or add and subtract) can be…
constructive or destructive
c (speed of light) is…
3.00E8 m/s
deci
10⁻¹
centi
10⁻²
milli
10⁻³
micro (mc)
10⁻⁶
nano (n)
10⁻⁹
pico (p)
10⁻¹²
deca (d)
10¹
hecto (h)
10²
kilo (k)
10³
Mega (M)
10⁶
Giga (G)
10⁹
Tera (T)
10¹²
Plank’s constant
h = 6.63 × 10⁻³⁴ Js
# of beats =
|f₁-f₂|
AM
amplitude modulated
measured in kilohertz
ex: KYW 1060 station has a frequency of 1060 kHz
FM
frequency modulated
measured in Megahertz
ex: 98.1 radio station has a frequency of 98.1 × 10⁶ MHz
Defraction
530 groove per millimeters
Light
is a wave proved by Christaan Huygens