UPSC Civil Service Exam Questions - Engineering

Q1:

Given that g = acceleration due to gravity and R = hydraulic mean depth, the Darcy Weisbach friction factor is related to Manning's rugosity coefficient 'n' as

A

B

C

D

ANS:A -

C = 1/n R^1/6.
C = (8g/f)^1/2.

1/n R ^ 1/6 = (8g/f) ^ 1/2.
1/n^2 R^1/3 = 8g/f.
f = 8gn^2/R^1/3.