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 thefigure below.door41820a) 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 comprisedbetween 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 dueto gravity on the Earth's surface is g = 9.8 m/s2. Express your answer as a formula.Answerb) 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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Description: 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 thefigure below.door41820a) Let y denote the height in meters measured from the base of

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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 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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

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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