Question
Download Solution PDFIn 1 in 30 model of a spillway, the velocity is 3 m/s. The corresponding velocity in the prototype is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Velocity ratio (Vr):
\(V_r=\sqrt L_r\)
\(V_r={V_m\over V_p}\,, L_r={L_m\over L_p}\)
Where Lr = Length ratio, Lm = length of model, Lp = length of prototype, Vm = velocity of model, and Vp = velocity of prototype.
Solution:
Given
Lr = \(1\over 30\)
Vm = 3 m/sec
\({V_m\over V_p}=\sqrt{L_r}\)
\(V_p={V_m\over \sqrt {L_r}}={3\over \sqrt{1\over 30}}=3\sqrt{30}=16.43\, m/s\)
Velocity of prototype (Vp) = 16.43 m/s
Hence option (1) is correct.
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