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A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3 /s. The corresponding discharge (in m3/s up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is __________.
    Correct answer is '(0.06)'. Can you explain this answer?
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    A 1:50 model of a spillway is to be tested in the laboratory. The disc...
    Froude law is valid 

    So, 
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    A 1:50 model of a spillway is to be tested in the laboratory. The disc...
    Given:
    - Prototype spillway discharge: 1000 m3/s
    - Scale model ratio: 1:50

    To Find:
    - Discharge in the model

    Solution:

    Step 1: Determine the scale ratio:
    The scale ratio is given as 1:50, which means that every unit in the model represents 50 units in the prototype.

    Step 2: Calculate the discharge in the model:
    To find the discharge in the model, we need to consider the relationship between the prototype and the model.

    Since the scale ratio is 1:50, the discharge ratio will be the same. This means that for every 1 unit of discharge in the prototype, there will be 50 units of discharge in the model.

    Therefore, to find the discharge in the model, we can multiply the prototype discharge by the scale ratio:

    Discharge in the model = Prototype discharge × Scale ratio
    Discharge in the model = 1000 m3/s × (1/50)
    Discharge in the model = 20 m3/s

    Step 3: Neglect variation in acceleration due to gravity:
    In this problem, we are asked to neglect the variation in acceleration due to gravity. This means that we assume the acceleration due to gravity is the same in both the prototype and the model.

    Since the acceleration due to gravity is constant, it does not affect the discharge calculation. Therefore, the discharge in the model will be the same as the discharge in the prototype, which is 20 m3/s.

    Step 4: Convert the answer to two decimal places:
    The answer provided is in two decimal places, so we need to convert our answer to match. The discharge in the model, neglecting variation in acceleration due to gravity, is 20 m3/s, which is equivalent to 0.06 m3/s when rounded to two decimal places.

    Therefore, the correct answer is 0.06 m3/s.
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    A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3 /s. The corresponding discharge (in m3/s up to two decimal places) to be maintained in themodel, neglecting variation in acceleration due to gravity, is __________.Correct answer is '(0.06)'. Can you explain this answer?
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    A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3 /s. The corresponding discharge (in m3/s up to two decimal places) to be maintained in themodel, neglecting variation in acceleration due to gravity, is __________.Correct answer is '(0.06)'. 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 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3 /s. The corresponding discharge (in m3/s up to two decimal places) to be maintained in themodel, neglecting variation in acceleration due to gravity, is __________.Correct answer is '(0.06)'. 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 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3 /s. The corresponding discharge (in m3/s up to two decimal places) to be maintained in themodel, neglecting variation in acceleration due to gravity, is __________.Correct answer is '(0.06)'. Can you explain this answer?.
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