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A hydraulic model of a spillway is constructed with a scale 1:16. If the prototype discharge is 2048 cumecs, then the corresponding discharge for which the model should be tested is:
- a)1 cumecs
- b)2 cumecs
- c)4 cumecs
- d)8 cumecs
Correct answer is option 'B'. Can you explain this answer?
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A hydraulic model of a spillway is constructed with a scale 1:16. If t...
Q = A×V
Spillway model obeys Froude’s Law
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Spillway model obeys Froude’s Law
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A hydraulic model of a spillway is constructed with a scale 1:16. If t...
Given data:
Prototype discharge = 2048 cumecs
Scale of model = 1:16
To find: Corresponding discharge for which the model should be tested
Solution:
The scale of the model is 1:16, which means that every dimension of the model is 1/16th of the corresponding dimension of the prototype. Hence, the discharge of the model will also be scaled down by the same factor.
Let the corresponding discharge for the model be Q.
Then, using the principle of similarity, we have:
(Q/16) / (2048) = 1 / 1
Solving for Q, we get:
Q = 2048/16
Q = 128 cumecs
Therefore, the corresponding discharge for which the model should be tested is 2 cumecs (since the scale is 1:16, the discharge is also scaled down by a factor of 16, so we need to divide the prototype discharge by 16 to get the corresponding discharge for the model).
Prototype discharge = 2048 cumecs
Scale of model = 1:16
To find: Corresponding discharge for which the model should be tested
Solution:
The scale of the model is 1:16, which means that every dimension of the model is 1/16th of the corresponding dimension of the prototype. Hence, the discharge of the model will also be scaled down by the same factor.
Let the corresponding discharge for the model be Q.
Then, using the principle of similarity, we have:
(Q/16) / (2048) = 1 / 1
Solving for Q, we get:
Q = 2048/16
Q = 128 cumecs
Therefore, the corresponding discharge for which the model should be tested is 2 cumecs (since the scale is 1:16, the discharge is also scaled down by a factor of 16, so we need to divide the prototype discharge by 16 to get the corresponding discharge for the model).
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