Question Bank • QB_SWCE_EXP_057 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Laminar and turbulent flow in pipes, Darcy–Weisbach and Hazen–Williams equations

Question Statement:

Water flows through a commercial PVC pipe of diameter $150\text{ mm}$ ($0.15\text{ m}$) and length $200\text{ m}$ at a mean velocity of $2.0\text{ m/s}$. If the Darcy-Weisbach friction factor is $f = 0.024$, calculate the head loss due to friction in $\text{meters}$. (Take $g = 9.81\text{ m/s}^2$)

Answer Key:

6.52

Step-by-Step Solution & Explanation

Darcy-Weisbach formula: $h_f = \frac{f L v^2}{2 g D} = \frac{0.024 \times 200 \times (2.0)^2}{2 \times 9.81 \times 0.15} = \frac{19.2}{2.943} \approx 6.524\text{ m}$
← Previous (QB_SUB_SWCE_0115) Next (QB_SWCE_ADV_087) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test