EduLadder(ELADR) - CRYPTO

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EduLadder(ELADR) - CRYPTO
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GATE-Civil-Engg-2018-->View question

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 m^3/s, up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is ______ (GATE-CIVIL-Engg-2018)

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 m^3/s, up to two decimal places) to
be maintained in the model, neglecting variation in acceleration due to gravity, is ______


Asked On2019-04-11 14:04:57 by:naikaumprakash

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Ans. 0.06 
Sol. 
Given : 
Discharge in prototype, 3 1000m /sec QP  
 Discharge in model, ? 
Qm  50 Lr  
 For dynamic similarity between spillway & its model, 
Froude number of model= Froude number of prototype () () F F rm rP  m P V V gL gL           m m P P V L V L  i.e. V L r r  2 5/2 2.5 
Q AV L L L L r rr r r r r
Q L Q L          1000 2.5 50 Qm   Discharge in model, 3 2.5 1000 0.056 0.06 m /s (50) Qm   
Hence ,  variation in acceleration due to gravity, is  0.06 m^3 /s.

Answerd on:2019-05-24 Answerd By:Jaynil-Gaglani

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