Reference Guide

Equation Reference 5-59
Waves (15)
Variable
Description
β
Sound level
λ
Wavelength
ω
Angular frequency
ρ
Density of medium
B
Bulk modulus of elasticity
f
Frequency
I
Sound intensity
k
Angular wave number
s
Longitudinal displacement at x and t
sm
Longitudinal amplitude
t
Time
v
Speed of sound in medium (Sound Waves), or
Wave speed (Transverse Waves, Longitudinal
Waves)
x
Position
y
Transverse displacement at x and t
ym
Transverse amplitude
Reference: 3.
Transverse Waves (15,1)
Equations:
Example:
Given: ym=6.37_cm, k=32.11_r/cm, x=.03_cm, ω =7000_r/s, t=1_s.
Solution: f= 1114.0846_Hz, λ =0.0020_cm, y=2.6655_cm, v=218.0006_cm/s.
Longitudinal Waves (15, 2)
Equations:
Example:
Given: sm=6.37_cm, k=32.11_r/cm, x=0.03_cm, ω =7000_r/s, t=1_s.
Solution: s=5.7855_cm, v=2.1800_m/s, λ =0.1957_cm, f=1114.08456_Hz.
y
y
m
S
I
N
k
x
⋅
ω
t
⋅
–
( )
⋅
=
v
λ
f
⋅
=
k
2
π
⋅
λ
-
-
-
-
-
-
-
-
-
-
=
ω
2
π
f
⋅
⋅
=
s
s
m
C
O
S
k
x
⋅
ω
t
⋅
–
(
)
⋅
=
v
λ
f
⋅
=
k
2
π
⋅
λ
-
-
-
-
-
-
-
-
-
-
=
ω
2
π
f
⋅
⋅
=