A vertical dam retains 18 m of water. It is pierced at its base with a semi-circular door 4 m in diameter (the base of the door is its diameter), as indicated in the figure below. door 4 18 0 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y m and y + Ay m is approximately p (y) Ay N What is p (y)? Note that the density of water is p = 1000 Kg/m³ and the acceleration due to gravity on the Earth's surface is g = 9.8 m/s2 Express your answer as a formula. Answer b) In Newtons, what is the total hydrostatic force exerted on the door? FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer Number

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Chapter14: Fluid Mechanics
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A vertical dam retains 18 m of water. It is pierced at its base with a semi-circular door 4 m in diameter (the base of the door is its diameter), as indicated in the
figure below.
door
4
18
20
a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised
between y m and y + 4y m is approximately p (y) Ay N. What is p (y)? Note that the density of water is p = 1000 Kg/m³ and the acceleration due
to gravity on the Earth's surface is g = 9.8 m/s2. Express your answer as a formula.
Answer
b) In Newtons, what is the total hydrostatic force exerted on the door?
FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value.
Answer Number
Transcribed Image Text:A vertical dam retains 18 m of water. It is pierced at its base with a semi-circular door 4 m in diameter (the base of the door is its diameter), as indicated in the figure below. door 4 18 20 a) Let y denote the height in meters measured from the base of the dam. The hydrostatic force exerted by the water on the portion of the door comprised between y m and y + 4y m is approximately p (y) Ay N. What is p (y)? Note that the density of water is p = 1000 Kg/m³ and the acceleration due to gravity on the Earth's surface is g = 9.8 m/s2. Express your answer as a formula. Answer b) In Newtons, what is the total hydrostatic force exerted on the door? FORMATTING: If you round your answer, ensure that the round-off error is less than 1% of the value. Answer Number
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