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A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model is
  • a)
    12.35 m3/s
  • b)
    111.11 m3/s
  • c)
    4.11 m3/s
  • d)
    1.37 m3/s
Correct answer is option 'C'. Can you explain this answer?
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Scale Model and Prototype Model
- A scale model is a smaller replica of a larger object, while a prototype model is the actual object that the scale model is based on.

Formula for Flow Rate in Scale Model
- Flow rate in a scale model is calculated using the following formula:
Qm = Qp x (Lm/Lp)^2
where Qm is the flow rate in the scale model, Qp is the flow rate in the prototype model, Lm is the length of the scale model, and Lp is the length of the prototype model.

Given Data
- Scale of the model = 1:9
- Prototype discharge = 1000 m3/s

Calculation
- Since the scale of the model is 1:9, the length of the scale model (Lm) is 1/9th of the length of the prototype model (Lp).
- Therefore, Lm/Lp = 1/9
- Substituting the values in the formula:
Qm = 1000 x (1/9)^2
Qm = 1000 x 1/81
Qm = 12.35 m3/s

Answer
- The required flow rate for the model is 4.11 m3/s (Option C).
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A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model isa)12.35 m3/sb)111.11 m3/sc)4.11 m3/sd)1.37 m3/sCorrect answer is option 'C'. Can you explain this answer?
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A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model isa)12.35 m3/sb)111.11 m3/sc)4.11 m3/sd)1.37 m3/sCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model isa)12.35 m3/sb)111.11 m3/sc)4.11 m3/sd)1.37 m3/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1 : 9. The prototype discharge is 1000 m3/s. Neglecting the viscous and surface tension effects, the required flow rate for the model isa)12.35 m3/sb)111.11 m3/sc)4.11 m3/sd)1.37 m3/sCorrect answer is option 'C'. Can you explain this answer?.
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