$(42$ pts total, $3$pts per part$)$ Water flows from the upper tank to the lower tank at $0\mathrm{.}05\frac{m^3}{?}$ second. Assume water has density $1000k\frac{g}{m^3}$ and kinematic viscosity $1\mathrm{.}3{10}^{-6}\frac{m^2}{s}.$ The included figures and tables will be helpful.

a$.$ Find the flow velocity in the $20$ cm diameter pipe.

b$.$ Find the Reynolds number in the $20$ cm diameter pipe.

c$.$ Find the flow velocity in the $15$ cm diameter pipe.

d$.$ Find the Reynolds number in the $15$ cm diameter pipe.

e$.$ What is the relative roughness of the $20$ cm diameter cast iron pipe?

f$.$ What is the relative roughness of the $15$ cm diameter cast iron pipe?

g$.$ What is the friction factor in the $20$ cm diameter pipe?

h$.$ What is the friction factor in the $15$ cm diameter pipe?

i$.$ Find the major head loss in the $20$ cm diameter pipe.

j$.$ Find the major head loss in the $15$ cm diameter pipe.

k$.$ Find the minor head loss that occurs at the pipe entrance at the upper tank.

I. Find the minor head loss that occurs at the pipe outlet at the lower tank.

m $.$ Find the minor head loss that occurs at the $60$ contraction.

n$.$ Find the total head loss.