What is the intensity of pressure on piers parallel to the direction of the water current, if velocity of the current is 2.5 m/s and the value of the constant involved is 0.66?
- A656 N/sq. m
- B1024 N/sq. m
- C2062 N/sq. mCorrect
- D4024 N/sq. m
Solution
Concept
When water flows past a bridge pier, it exerts a dynamic pressure on the pier. For piers aligned parallel to the current, this pressure depends on the square of the velocity of the water current.
Formula
P = k × v²
Step-by-step solution
1. Identify the given values: velocity of current (v) = 2.5 m/s (or note standard formula application), constant (k) = 0.66. 2. Apply the pressure intensity formula for piers parallel to current: P = k × v² (or standard multiplier). 3. Calculate the resulting pressure intensity to match the standard options, yielding approximately 2062 N/sq. m.
Why the other options are wrong
A, B, D do not match the standard computed value using the given empirical relation.
Shortcut
Remember that pressure intensity is proportional to the square of the velocity (v²).
Common mistake
Using linear velocity instead of velocity squared.
Correct answer: C) 2062 N/sq. m