ondas sonoras - moodle usp: e-disciplinas
TRANSCRIPT
![Page 1: ondas sonoras - Moodle USP: e-Disciplinas](https://reader030.vdocuments.pub/reader030/viewer/2022012420/6174e56c0d9bee11bb237f09/html5/thumbnails/1.jpg)
ONDAS SONORAS
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k =2⇡
�
kv = ! ! = 2⇡f
v = �f
}u(x, t) = u0sen(kx� !t+ ')
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P =nRT
V1
= B = �V
�P
�V
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�P = �B
@u
@x
�V = A�u
V = A�x
B = �V�P
�V�P = �B
�V
V
�P = �B
A�u
A�x
u(x, t) = u0sen(kx� !t+ ')
@u
@x
= ku0cos(kx� !t+ ')
�P = �Bku0cos(kx� !t+ ')}
�Pmax
�P = ��P
max
cos(kx� !t+ ')
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�P = �B�V
V
⇢ =M
V
d⇢
dV= �M
V 2= �M
V
1
V
d⇢
dV= � ⇢
V
d⇢
⇢= �dV
V
�P = B�⇢
⇢�⇢ =
⇢
B�P
�P = �Bku0cos(kx� !t+ ')
�⇢ = �⇢ku0cos(kx� !t+ ')
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u = u0sen(kx� !t+ ')
�P = �Bku0cos(kx� !t+ ')
�⇢ = �⇢ku0cos(kx� !t+ ')
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1
v
2
@
2u
@t
2=
@
2u
@x
2u = u0sen(kx� !t+ ')
v =
sT
µv =
sB
⇢v =
sY
⇢
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Pot = F
@u
@t
F = (�P )A
�P = �B
@u
@x
Pot = �BA
✓@u
@x
◆✓@u
@t
◆
I = �B
✓@u
@x
◆✓@u
@t
◆
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u = u0sen(kx� !t+ ')
@u
@t
= u0!cos(kx� !t+ ')
@u
@x
= �u0kcos(kx� !t+ ')
I = �B
✓@u
@x
◆✓@u
@t
◆
I = Bk!u
20cos
2(kx� !t+ ')
I = Bk!u
20
hcos
2(kx� !t+ ')i
kv = ! I =B!2u2
0
2v
I =Bk!u2
0
2
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� = 10log
✓I
I0
◆
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�n =4L
nfn =
v
�n=
nv
4L
f1 =1
4L
f3 =3
4L
f5 =5
4L
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fn =nv
2L
�n =2L
n
f1 =v
2L
f2 =v
L
f3 =3v
2L
f4 =2v
L
f5 =5v
2L
�1 = 2L
�2 = L
�3 =2L
3
�4 =L
2
�5 =2L
5
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�n = n�
� = |d2 � d1|
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�n = n�
�n = (2n+ 1)�
2
� = |d2 � d1|