Problem $1$: Consider the so$-$called "Venturi flume", depicted below. This device, which is just a bump on the

bottom of the channel, is used to determine flowrate in a water channel. Assuming a uniform velocity through

each vertical cross section and an ideal fluid, what is the flowrate per unit width of the channel given a channel

that is $1\mathrm{.}2$ m deep, flowing over a $0\mathrm{.}2$ m bump, and with a depression on the surface of depth $0\mathrm{.}07$ m forming on the

surface of the water. $($Note image is a bit distorted...bottom of channel should be flat except for the bump and top

of channel should be flat except for depression, like in Prob $5-35$ in your book.$)$