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Question

For a Lacey channel to carry 5 m3/sec through a 0.5 mm sand, the bed slope will be 1:k. The value of k is ____
  1. 3052

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Solution

The correct option is A 3052
As per Lacey's theory,

Bed slope,
S=f5/33340Q1/6

Given,
Q=5 m3/sec

Also,
f=1.76dmm

=1.76×0.5=1.24

Hence,
S=(1.24)5/33340×(5)1/6

=13051.6813052

k=3052

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