Question A$1$: A spillway consists of a rectangular channel $100$ m wide. The llow rate of water is to be $3548\frac{m^3}{s}$ at an average speed of $10\frac{m}{s}.$ You are to investigate the resulting hydraulic jump in the laboratory by using a scaled model. The model you have is a rectangular channel $1$ m wide and your pump can only generate an average speed of $1\frac{m}{s}$ of water.

a$)$ What must be the Froude number of the flow upstream of the hydraulic jump?

b$)$ What flow rate must you maintain in the laboratory set$-$up$?$

c$)$ What is the flow level after the hydraulic jump in your laboratory and in the spillway?

d$)$ What is the Froude number downstream of the jump in the laboratory and the spillway?