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http://s22.postimg.org/5xhaq5pgx/12_6.png Water is flowing in a pipe as depicted

ID: 2241984 • Letter: H

Question

http://s22.postimg.org/5xhaq5pgx/12_6.png


Water is flowing in a pipe as depicted in the figure. As shown, p = 121 kPa, d = 4.55 cm, d' = 3.28 cm, v = 4.40 m/s, and h = 1.13 m. What pressure is indicated on the upper pressure gauge? Take y = 0 at the bottom of the left pipe so that the center of the left pipe is y1 = d/2.

Water is flowing in a pipe as depicted in the figure. As shown, p = 121 kPa, d = 4.55 cm, d' = 3.28 cm, v = 4.40 m/s, and h = 1.13 m. What pressure is indicated on the upper pressure gauge? Take y = 0 at the bottom of the left pipe so that the center of the left pipe is y1 = d/2.

Explanation / Answer



y1 = d/2 .....y2 = h+d'/2
A*V = A'*V'

V' =A*V/A' = d^2*V/d'^2 = (4.55^2*4.4)/(3.28^2)= 8.466 m/s

P'-P = 0.5*rho*(V^2-V'^2)+rho*(y1-y2)*9.8

P' = 83.82 kpa