Q$-1/$

a$.$ What are the units in SI system of $,,s,,v,.$

b$.$ What are the dimension of $,,s,,v,$ using $($MLT$)$ system.

c$.$ What are the dimension of $,s,,v,$ using $($FLT$)$ system.

Q$-2/$ A reservoir contains CCL$4$ liquid. It has a mass of $500$ kg and a volume of $0\mathrm{.}135m^3.$ Find the weight W of the CCL$4$ and its mass density $,$ specific weight $($weight density$)$ and specific gravity $s.$

Q$-3/$ The specific gravity of ethyl alcohol is $0\mathrm{.}79.$ Calculate $$ in $K\frac{N}{m^3}$ and $$ in $K\frac{g}{m^3}.$

Q$-4/$ In Hazen$-$Williams formula, the discharge through pipe $Q(\frac{m^3}{sec})=61\mathrm{.}9D^{2\mathrm{.}63}(d\frac{p}{d}x{)}^{0\mathrm{.}54}$

Where $D$ is the diameter of pipe and the pressure gradient $d\frac{p}{d}x$ where the units of $dp(\frac{N}{m^2})$ and dx dimension is $(L).$ What is the dimension of the constant $61\mathrm{.}9$ for the formula to be dimensionally homogenous?

Q$-5/$

The fluid moving in fig. above has a dynamic viscosity $=0\mathrm{.}00242N.s\frac{ec}{m^2}$ and specific gravity $s=0\mathrm{.}913.$ Calculate the velocity gradient $d\frac{v}{d}y$ and the intensity of shear stress $$ at the boundary.

Q$-6/$ a$.$ The surface tension of mercury is $0\mathrm{.}47\frac{N}{m}$ and the specific gravity of mercury is $13\mathrm{.}6.$ What is capillary height of the mercury when it placed in a class tube of raduis $0\mathrm{.}3$ mm $.$ Use $=130.$

b$.$ What is capillary height if mercury replaced by water in the same tube. Use $=0$

Knowing that the surface tension for water is $0\mathrm{.}0662\frac{N}{m}$