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Hydraulics - Engineering

Q1:

The ratio of the percentagge error in the discharge and percentage error in the measurement of head over a triangular notch, is

A 2/3

B 3/2

C 2/5

D 5/2

ANS:D - 5/2

Apologies for the confusion earlier. Let's reevaluate the problem. The discharge Q over a triangular notch is given by the formula: Q=2/3Cd  2g⋅ℎ^3/2 Where:

  • Cd​ is the discharge coefficient.
  • g is the acceleration due to gravity.
  • ℎ is the head over the triangular notch.
If we differentiate Q with respect to Cd​, we get: dQ/Q=1dCd/1Cd ​​ If we differentiate Q with respect to ℎ, we get: dQ/Q=3dh/2ℎ​ So, the ratio of the percentage error in discharge to the percentage error in the measurement of head is 5/2​. Therefore, the correct answer is 5/2​.