A pipe transports 200 kg/s of water. The pipe tees into a 5 cm diameter pipe and a 7cm diameter pipe. If the average velocity in the smaller diameter pipe is 25 m/s,calculate the flow rate (m³/s) in the larger pipe.

The water is 4 m deep behind a sluice gate in a rectangular channel that is suddenly opened. Find the initial dh/dt (m/s) if V₂ = 6 m/s and V₁ = 0.2 m/s. The upstream channel length is 100 m.

Find the rate of change of h(t) (mm/s) if water is the fluid at all locations. Use V₁ =7.6 m/s and Q3 = 1000 L/min.

A water pump requires 4.4 hp to create a pump head of 20 m. If its efficiency is 87%, what is the flow rate of water (m³/min)? Neglect losses through the entrance, contraction, and nozzle and predict the value of H (m) if h = 15 cm.

The overall loss coefficient for the pipe is 5; up to A it is 0.8, from A to B it is 1.2,from B to C it is 0.8, and from C to D it is 2.2. Estimate the pressure at D (Pa).

The pump is powered by a 37 kW motor. If the pump is 82% efficient, determine the pressure rise (kPa).

A turbine receives 15 m³/s of water from a 2 m diameter pipe at a pressure of 900kPa and delivers 10,000 kW. The pressure in the 2.5 m diameter exit pipe is 140 kPa. Calculate the turbine efficiency (%).P