4. (a) Calculate the force required to remove the bung keeping the water in a pool of water if the depth is \( 1 \mathrm{~m} \) and the diameter of the bung is \( 30 \mathrm{~mm} \). Figure Q4 (4 marks) (b) Show how Bernoulli's equation can be used to derive an expression for the speed of the water leaving the pool once the bung is removed. (6 marks) (c) Ignoring losses calculate how many litres per second of water will leave the pool once the bung is removed. (2 marks) (d) Explain what correction factors would typically be applied to a discharge calculation like this. (4 marks)
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The pressure at a depth of 1 m in the pool can be calculated using the formula: Pressure = ρ * g * h where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²), and h is the depth (1 m). Pressure = 1000 kg/m³ * 9.81 m/s² * 1 Show more…
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In Fig. $14-51,$ the fresh water behind a reservoir dam has depth $D=15 \mathrm{~m}$. A horizontal pipe $4.0 \mathrm{~cm}$ in diameter passes through the dam at depth $d=6.0 \mathrm{~m}$. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume cxits the pipe in $3.0 \mathrm{~h} ?$
In Fig. $14-51,$ the fresh water behind a reservoir dam has depth $D=15 \mathrm{m} .$ A horizontal pipe 4.0 $\mathrm{cm}$ in diameter passes through the dam at depth $d=6.0 \mathrm{m} .$ A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 3.0 $\mathrm{h} ?$
The fresh water behind a reservoir dam has depth $D=15 \mathrm{~m}$. A horizontal pipe $4.0 \mathrm{~cm}$ in diameter passes through the dam at depth $d=6.0 \mathrm{~m} .$ A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in $3.0 \mathrm{~h}$ ?
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