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 =

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

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

Next > < Previous

Related Solutions

A rectangular car tank 20m long, 4m wide and 3m deep is completely open at the...

A rectangular car tank 20m long, 4m wide and 3m deep is completely open at the top. If it is initially filled to the top: (a) How much liquid will be spilled if it is given a horizontal acceleration of 0.3g in the direction of its length? (b) What is the maximum hydrostatic force acting on the side opposite the direction of the acceleration. (c) Determine the volume of the remaining water at the tank.

A rectangular channel 6m wide by 1m deep is lain on slope of 0.001 and has...

A rectangular channel 6m wide by 1m deep is lain on slope of 0.001 and has roughness coefficient of n = 0.013. What is the mean velocity of flow (m/s) when the canal is full? What is the maximum capacity of the channel in m3/s? If the most efficient rectangular section is used, what depth of canal is required for the same discharge, slope, and roughness coefficient?

A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to...

A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration that may be imparted to the tank in the direction of its length so that 1. the water is just about to spill 2. the front bottom corner of the tank is just exposed. 3. the bottom of the tank is exposed to its midpoint. For (2) and (3) above, compute the volume of the...

A river 16.0 m wide and 4.0 m deep drains a 3000.0 km2 land area in...

A river 16.0 m wide and 4.0 m deep drains a 3000.0 km2 land area in which the average precipitation is 48 cm/year. One-fourth of this rainfall returns to the atmosphere by evaporation, but the remainder ultimately drains into the river. What is the average speed of the river?

A rectangular, well-mixed aeration lagoon is 75 m long, 5 m wide, and 2 m deep....

A rectangular, well-mixed aeration lagoon is 75 m long, 5 m wide, and 2 m deep. It receives 400 m3/d of wastewater with a BOD5 of 367mg BOD5/L for treatment. The biodegradation rate constants for the wastewater are the following: yield coefficient = 0.8 mg VSS/mg BOD5, endogenous decay constant = 0.08 d-1, maximum specific microbial growth rate = 1 d-1, and half velocity constant = 76.0 mg BOD5/L. What must the hydraulic detention time be in the aeration...

A horizontal meter stick is centered at the bottom of a 4.5-m-deep, 3.9-m-wide pool of water....

A horizontal meter stick is centered at the bottom of a 4.5-m-deep, 3.9-m-wide pool of water. How long does the meter stick appear to be as you look at it from the edge of the pool?

A 5 m wide rectangular channel carries a flow of 20 m3/s. The slope of the...

A 5 m wide rectangular channel carries a flow of 20 m3/s. The slope of the channel is 0.005 and the Manning’s n is 0.03. The flow encounters a 0.5 m step up that is 0.1 m long. The depths far upstream and downstream are normal. Classify this channel Qualitatively sketch this scenario, label gradually varied flow curves and provide appropriate depths. Draw this scenario on an E-Y cycle graph, and label all depth changes.

A rectangular channel 2 m wide has a bottom slope of 0.01 and a roughness coefficient...

A rectangular channel 2 m wide has a bottom slope of 0.01 and a roughness coefficient of 0.017. A sluice gate 2 m wide is located in the channel. The sluice gate has a contraction coefficient of 0.61 and a discharge coefficient of 0.58. The depth of water just upstream from the gate is 2 m. The depth of water just downstream from the gate is 0.5 m. Determine how far upstream from the gate the depth of water will...

A 4.9-m-wide swimming pool is filled to the top. The bottom of the pool becomes completely...

A 4.9-m-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 22 ∘ above the horizon.

A 50 m3/s is conveyed down a 5-m wide rectangular channel (n = 0.012) with a...

A 50 m3/s is conveyed down a 5-m wide rectangular channel (n = 0.012) with a slope of 0.02 m/m. The channel transitions into a second channel with a slope of 0.0008 m/m. A hydraulic jump occurs on the downstream channel. What is the downstream depth of the second channel after the jump? What is the depth of the water before the jump? What is the energy loss due to the jump? How long is the total distance of the...

Subjects