trapezoidal cross-section with bottom width, B = 3 m, and sidewall slope, 0 = 60° is shown as below. When flow depth is y0 =2.5 m, please determine 1) flow section area, A, 2) hydraulic radius, R, and 3) hydraulic depth, D. Furthermore, if the mean velocity at this cross-section is V = 1.5 m/s, please determine 4) Reynolds number, Re, =1.14*103, 5) Froude number, Fr, of this channel

a water resource engineer is in charge of designing atrapezoidal open channel for flood control. Typically, these types of channels are made ofconcrete. Use Manning’s Equation.Flowrate (Qb), channel slope (S0), bottom width (Bw), channel sidewall angle (θ), actual depth(y), and Manning’s coefficient (n) are tabulated below. State all assumptions. * z is the sidewall ratio: for every 1 unit increase in depth, the top width increases by z on eachside of the channel, or 2z total.A) Given the actual depth, y = 1.25 ft, find the discharge Qa.B) Find the Critical Depth, yc, for the discharge Qa found in (a). For a trapezoid,dA/dy =Bw +2 yz .Is the flow sub- or super-critical?C) Determine the uniform flow normal depth (yn) at Qb = 209 cfs.D) If the slope is increased to 0.001, what roughness coefficient would be needed tomaintain the same discharge Qa? What about for Qb? Would it be the same value?