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A hydraulic jump occurs at the spillway. The depth before the jump is 0.2 m. The sequent depth is 3.2 m.
What is the energy dissipated in m (approximate)?
  • a)
    27
  • b)
    10.5
  • c)
    15
  • d)
    42
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A hydraulic jump occurs at the spillway. The depth before the jump is ...
The energy dissipation is given by

= 10.55 m
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A hydraulic jump occurs at the spillway. The depth before the jump is ...
To calculate the energy dissipated in a hydraulic jump, we can use the principles of conservation of energy. A hydraulic jump occurs when a high-velocity flow rapidly transitions to a lower-velocity flow, causing a sudden increase in water depth.

The energy dissipated in a hydraulic jump can be calculated using the following equation:

E = (h1 - h2) * g * A

Where:
E is the energy dissipated
h1 is the initial depth before the jump
h2 is the sequent depth after the jump
g is the acceleration due to gravity (approximated as 9.8 m/s^2)
A is the cross-sectional area of the flow

In this case, the initial depth before the jump is given as 0.2 m and the sequent depth is given as 3.2 m. We can assume the cross-sectional area of the flow remains constant throughout the hydraulic jump.

Let's calculate the energy dissipated using the given values:

E = (0.2 - 3.2) * 9.8 * A

Since the cross-sectional area is not given, we can assume it to be 1 square meter for simplicity.

E = (0.2 - 3.2) * 9.8 * 1
E = (-3) * 9.8
E = -29.4

The negative sign indicates that energy is being dissipated, which is expected in a hydraulic jump. However, the question asks for the energy dissipated in positive terms. Therefore, we take the absolute value of the result:

|E| = |-29.4| = 29.4

Rounded to the nearest whole number, the energy dissipated is approximately 29 m.

The closest option to 29 in the given answer choices is option 'B' which is 10.5. However, none of the options provided match the calculated value of 29. Therefore, none of the given answer choices are correct.
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A hydraulic jump occurs at the spillway. The depth before the jump is 0.2 m. The sequent depth is 3.2 m.What is the energy dissipated in m (approximate)?a)27b)10.5c)15d)42Correct answer is option 'B'. Can you explain this answer?
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