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Kinetic Friction

In a 1 in 40 ...

Question

In a $1$ in $40$ model of spillway, the velocity is $2$ $m / s e c$ . The corresponding velocity (in m/sec) in prototype is _______.
12.6

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Solution

The correct option is A 12.6
Given, $L_{r} = 40$
$V_{m} = 2$ $m / s e c$
For spillway, Froude model is applicable
$V_{r} = \sqrt{L_{r}}$
$V_{p} = V_{m} \sqrt{L_{r}}$
$= 2 \sqrt{40}$
$= 12.65$ $m / s e c$

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