ONDAS SONORAS

k =2⇡

�

kv = ! ! = 2⇡f

v = �f

}u(x, t) = u0sen(kx� !t+ ')

P =nRT

V1

= B = �V

�P

�V

�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+ ')

�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+ ')

u = u0sen(kx� !t+ ')

�P = �Bku0cos(kx� !t+ ')

�⇢ = �⇢ku0cos(kx� !t+ ')

1

v

2

@

2u

@t

2=

@

2u

@x

2u = u0sen(kx� !t+ ')

v =

sT

µv =

sB

⇢v =

sY

⇢

Pot = F

@u

@t

F = (�P )A

�P = �B

@u

@x

Pot = �BA

✓@u

@x

◆✓@u

@t

◆

I = �B

✓@u

@x

◆✓@u

@t

◆

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

� = 10log

✓I

I0

◆

�n =4L

nfn =

v

�n=

nv

4L

f1 =1

4L

f3 =3

4L

f5 =5

4L

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

�n = n�

� = |d2 � d1|

�n = n�

�n = (2n+ 1)�

2

� = |d2 � d1|