Question

In: Civil Engineering

An open irrigation channel measures 30 m wide and 10 m deep. If it is completely...

An open irrigation channel measures 30 m wide and 10 m deep. If it is completely filled with water, calculate the cutoff frequencies for the five lowest (acoustic) modes of propagation. Assume the sides and bottom are perfectly rigid.

Solutions

Expert Solution

cut off frequency can be determine by the following formula

where

v is Velocity of propagation in dielectric =

is dielectric which is equal to 4 (assume)

so for mode TE10

V =   

V =   

f = 0.0025 GHz

For TE01

V =

f = .0037 GHz

For TE02

V =

f = .0075GHz

For TE11

V =

f = .00450 GHz

For TE20

V =

f = .0050 GHz

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

31081.5108m/s

- C(speedoflight)

We were unable to transcribe this image

1.5 10G1 30 20

31081.5108m/s

1.5*108 , 0 30 20

31081.5108m/s

We were unable to transcribe this image

31081.5108m/s

1.5 10G1 30 20

31081.5108m/s

1.5*108, 2 30 20

Ally Wells answered 1 year ago
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