Question $15.(15$ pts$.)$ A carburetor of an automobile consists of a flow passage with a decreasing area through which the flow is accelerated. The lower pressure then suctions up fluid at this area minimum or throat as shown in the diagram. A system is being tested with water as the fluid such that the water is suctioned up just to reach the throat $($do not consider that the water flows out of the tank and gets injected into the air$).$ Air passes steadily through the passage from left to right. Treat the air as an incompressible fluid at standard atmospheric conditions and neglect viscous losses in the system. Taking the air pressure upstream at the entrance of the pipe to be an absolute value of $103$ kPa and that the air pressure above the water surface in the tank is atmospheric, calculate the required velocity in the throat of the pipe.