A prototype ocean$-$platform piling is expected to encounter current of speed $1\mathrm{.}2\frac{m}{s}$ and waves

of $8sec$ periods and $5m$ height. If a $\frac{1}{16}$ scale model is tested in a water channel for

estimating the water force on the structure, $($a$)$ what current speed, wave period and wave

height should be encountered by the model? $($b$)$ If the force acted on the platform is $0\mathrm{.}2\frac{N}{c}{m}^2$

measured in the model, what is the value in the prototype? $($Note: The difference of the water

between the model and prototype can be neglected$)$