Error propagation for triangular notch (V-notch): effect of head-reading error on discharge If the head over the notch apex is H, how much percentage error in discharge occurs for a 1% error in H? Choose the correct value.
Mechanical Engineering
Hydraulics and Fluid Mechanics
Difficulty: Easy
Choose an option
-
A1%
-
B1.5%
-
C2%
-
D2.5%
Answer
Correct Answer: 2.5%
Explanation
Concept/Approach
- For a triangular (V) notch, discharge Q ∝ H5/2.
Step-by-stepRelative error: dQ/Q = (5/2) × dH/H.For dH/H = 1% → dQ/Q = 2.5%.
Final Answer2.5%