# Transverse Waves (15,1); Longitudinal Waves (15, 2); Sound Waves (15, 3) - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Variable
sm
t
v
x
y
ym
Reference: 3.

## Transverse Waves (15,1)

Equations:
y m S I N k x
y
=
t
Example:
Given: ym=6.37_cm, k=32.11_r/cm, x=.03_cm, =7000_r/s, t=1_s.
Solution: f= 1114.0846_Hz, =0.0020_cm, y=2.6655_cm, v=218.0006_cm/s.

### Longitudinal Waves (15, 2)

Equations:
s
=
s m C O S k x
t
Example:
Given: sm=6.37_cm, k=32.11_r/cm, x=0.03_cm, =7000_r/s, t=1_s.
Solution: s=5.7855_cm, v=2.1800_m/s, =0.1957_cm, f=1114.08456_Hz.

### Sound Waves (15, 3)

Equations:
B
v
=
- - - -
=
10 LO G
Example:
Given: sm=10_cm, =6000_r/s, B=12500_kPa, =65_kg/m^3.
Solution: v=438.5290_m/s, I=5130789412.97_W/m^2, =217.018_dB, f=954.9297_Hz.
5-58 Equation Reference
Description
Longitudinal amplitude
Time
Speed of sound in medium (Sound Waves),
or Wave speed (Transverse Waves,
Longitudinal Waves)
Position
Transverse displacement at x and t
Transverse amplitude
2
--------- -
v
=
f
k
=
2
v
=
f
k
=
--------- -
1
I
=
- - -
v
2
I
- - - - - -
10
=
2
f
=
2
f
2
2
sm
=
2
f