One human being has a $3$D dimension of $1\mathrm{.}7-$by$-0\mathrm{.}5-$by$-0\mathrm{.}3$ m $($height$,$ width, thickness$).$ And he$/$she can swim up to $4$ mph$,$ i$.$e$.,1\mathrm{.}788$ m$/$s$,$ in water. The dynamic viscosity of water at $25$ degC is $0\mathrm{.}89$ mPa$$s and density is $\backslash$rho $=1000$ kg$/$m$3.$ Answer the following questions: $1)$ What is the characteristic length L of this human being? $[2$ points$]2)$ What is the Reynolds number Re for this human being in water? $[4$ points$]$ What is the unit of the calculated Reynolds number? $[1$ point$]$ According to your calculated Reynolds number, is viscous or inertial forces dominant in this case? $[1$ point$]3)$ If the swimmer is downscaled by $1000$ times, making his$/$her dimension $1\mathrm{.}7-$by$-0\mathrm{.}5-$by$-0\mathrm{.}3$ mm$.$ Re$-$calculate Re and re$-$answer the questions in subquestion $(2).$ Note that the swimming speed should also be downscaled to $1\mathrm{.}788$ mm$/$s$.[4$ points$]4)$ If the swimmer is downscaled again by $1000$ times, making his$/$her dimension $1\mathrm{.}7-$by$-0\mathrm{.}5-$by$-0\mathrm{.}3\backslash$mu m$.$ Re$-$calculate Re and re$-$answer the questions in subquestion $(2).$ Note that the swimming speed should also be downscaled to $1\mathrm{.}788\backslash$mu m$/$s$.[2$ points$]5)$ If the swimmer is downscaled again by $1000$ times, making his$/$her dimension $1\mathrm{.}7-$by$-0\mathrm{.}5-$by$-0\mathrm{.}3$ nm$.$ Re$-$calculate Re and re$-$answer the questions in subquestion $(2).$ Note that the swimming speed should also be downscaled to $1\mathrm{.}788$ nm$/$s$.[2$ points$]6)$ Discuss and explain how the swimmer will feel like when he$/$she swims in the scenarios described in subquestion $(3),(4),$ and $(5)$ using the Reynolds number values you calculated. $[2$ points$]$ The Reynolds number is defined as Re $=\backslash$rho uL$/\backslash$mu where Re is the Reynolds number, $\backslash$rho is the fluid density, u is the flow speed, L is the characteristic dimension, $\backslash$mu is the fluid viscosity.