Question

A 1 : 30 model of an ogee spillway crest records an acceleration of $1.3m/s^2$ at a certain location. The homologous value of the acceleration in the prototype in $m/s^2$, is

• A. 0.043
• B. 0.237
• C. 1.300
• D. 7.120

Answer 1

The correct option is C 1.300

For a spillway, we use Froude Model Law

$\therefore \frac{{\alpha }_p}{{\alpha }_m}=1\Rightarrow {\alpha }_p={\alpha }_m$
i.e.,
acceleration of prototype=acceleration for model

But given, ${\alpha }_m=1.3m/se{c}^2$
Hence , ${\alpha }_p=1.3m/se{c}^2$