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MMLU-Pro / 11993 / A long channel with a rectangular cross section and an unfinished concrete…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A long channel with a rectangular cross section and an unfinished concrete surface is 35 ft wide and has a constant slope of 0.5°. What is the water depth when the channel carries 3500 ft^3/s? TABLE VALUE OF MANNING COEFFICIENT n FOR VARIOUS SURFACES Type of channel surface Manning coefficient n Welded steel 0.012 Riveted or spiral steel, galvanized iron 0.016 Uncoated cast iron, black wrought iron 0.014 Corrugated storm drain 0.024 Concrete culvert with bends, connections, debris 0.013 Straight sewer with manholes, inlets, etc. 0.015 Common clay drainage tile 0.013 Sanitary sewers with slime, bends, connections 0.013 Concrete surface, trowel-finished 0.013 Float-finished 0.015 Unfinished 0.017 Earth channel, clean, dredged, straight, uniform 0.018 Stony bottom, weedy banks, winding 0.035 Unmaintained, dense high weeds 0.080 Small natural streams (width less than 100 ft) clean, straight, no deep pools or rifts 0.030 Some weeds, stones; winding 0.045 Very weedy, deep pools, underbrush 0.100 Flood, over high grass pastures 0.035 Over light brush and trees in summer 0.060 Rivers, with no boulders or brush 0.025 - 0.060 Irregular, with rough sections 0.035 - 0.100

category

engineering

options

  1. 7 ft
  2. 3 ft
  3. 3.5 ft
  4. 6 ft
  5. 9 ft
  6. 2.5 ft
  7. 10 ft
  8. 4 ft
  9. 5 ft
  10. 8 ft

src

stemez-FluidMechanics

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Source and history

upstream_id / Original problem ID
11993
task_id
83c57cb7-0ee4-5aeb-9b53-98d8a9b27cb5
task_key
default--test--11993
task_revision_id
1
config / split
default / test

Official source

initial import