Stag nation Tubes and Pitot-Static Tubes (§4.7)The apparatus shown in the figure is used to measure the velocity of air at the center of a duct having a 10 cm diameter. Atube mounted at the center of the duct has a 2 mm diameter and is attached to one leg of a slant-tube manometer. Apressure tap in the wall of the duct is connected to the other end of the slant-tube manometer. The well of the slant-tubemanometer is sufficiently large that the elevation of the fluid in it does not change significantly when fluid moves up theleg of the manometer. The air in the duct is at a temperature of 20°C, and the pressure is 150 kPa. The manometer liquidhas a specific gravity of 0.7, and the slope of the leg is 30°. When there is no flow in the duct, the liquid surface in themanometer lies at 23 cm on the slanted scale. When there is flow in the duct, the liquid moves up to 6.7 cm on the slantedscale. Find the velocity of the air in the duct- Assuming a uniform velocity profile in the duct, calculate the rate of flow ofthe air. Figure:a duct pipe is drawn in the figure