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Inclass ass
1. In-class Assign. Dr.waleed, Mob. 0100 4444 149 Page (1)
In-class Assignment
1- The two waterreservoirs shown in the figure are open to the atmosphere,
and the water has density 1000 kg/m3
. The manometer contains mercury
with a density of 13,600kg/m3
. What is the difference in elevation, h, if the
manometer reading is b = 25 cm? Take the gravitational acceleration, g,
equal to 9.8 m/s2
.
Solution
2. In-class Assign. Dr.waleed, Mob. 0100 4444 149 Page (2)
2- Gate AB shown in the figure is 1.2 m long and 0.8 m into the paper.
Neglecting atmospheric pressure, compute the force F on the gate and its
center-of-pressure position, distance X in the figure.
Solution
𝛾 𝑜𝑖𝑙 = 𝑆𝐺 𝑜𝑖𝑙 𝑥 𝛾 𝑤𝑎𝑡𝑒𝑟
𝛾 𝑜𝑖𝑙 = 0.82 𝑥 9.81 = 8.04 𝑘𝑁 𝑚3⁄
ℎ 𝐶𝐺 = 4 + (1 + 0.6) 𝑠𝑖𝑛40 = 5.028 𝑚
𝐹𝑅 = (𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 𝑎𝑡 𝑡ℎ𝑒 𝑐𝑒𝑛𝑡𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑎𝑡𝑒)(𝐴𝑟𝑒𝑎 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑎𝑡𝑒)
𝐹𝑅 = 𝛾ℎ 𝐶𝐺 𝐴
𝐹𝑅 = 8.04 𝑥 5.028 𝑥 (1.2 𝑥 0.8) = 38.83 𝑘𝑁
𝑦 𝐶𝑃 = 𝑦 𝐶𝐺 +
𝐼 𝑥𝑐
𝑦 𝐶𝐺 𝐴