Water flows with a speed of 2.00 m/s through a horizontal 15-cm diameter pipe, a

Question

Water flows with a speed of 2.00 m/s through a horizontal 15-cm diameter pipe, as shown in Figure 15-16. A tube, called a Pitot tube, enters the pipe and is bent along the centerline of the pipe to face the oncoming flow. Water enters the tube and rises until the hydrostatic pressure in the tube balances the pressure at the mouth of the tube. Because no more water enters the tube, the speed of the water just outside the mouth of the tube is zero m/s. The pressure in the part of the pipe unaffected by the Pitot tube is 10.0 kPa. How high does the water rise in the tube? 1.32 m 1.12 m 1.42 m 1.02 m 1.22 m

Explanation / Answer

Energy head in the tube = Energy head at the mouth of pitot tube

=> Pt/ + vt2/2 = Pm/

=> Pm = Pt + vt2/2 = 104 + (103 * 22 / 2) = 1.2 * 104 Pa

Height of water in pitot tube, h = Pm/g = 1.2 * 104 / (103 * 9.81) = 1.22 m

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