5.1) \ \
\Water density ρ = 1000 kg/m^3 \ \
\Pipe daiameter d1 = 200 mm \ \
\d1 = 200/1000 = 0.2 m \ \
\Venture meter throat diameter d2 = 130 mm \ \
\d2 = 130/1000 = 0.13 m \ \
\The coefficient of delivery = The discharge coefficient C = 0.97 \ \
\Mercury manometer reading (p1 - p2) = 880 mm \ \
\(p1 - p2) = 880/1000 = 0.88 m \ \
\Flow rate of water Q = ? \ \
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A1 = (¼)πd1² \ \
\A1 = (¼)π(0.2²) \ \
\A1 = 0.0314 \ \
\A₂ = (¼)πd2²
\A₂ = (¼)(0.13²) \ \
\A₂ = 0.001725 \ \
\Flow rate of water
\
Substitute ρ =1000 , A1 = 0.01766 , A₂ = 0.00385 , (p1 - p2) = 0.88 m and C = 0.97
\ \ \
Q = 0.05877 litres per second \ \
\The flow rate of water is 0.05877 litres per second