The top curve of the window is a parabola that opens horizontally with its vertex at the lower right corner. The length of the horizontal base is 3.8 m and the height of the vertical side is 2.2 m. For the following round your answers to at least 3 significant figures and include the units. You may assume that the mass density of water is 1000 kg/m³ and the acceleration due to gravity is 981
The top curve of the window is a parabola that opens horizontally with its vertex at the lower right corner. The length of the horizontal base is 3.8 m and the height of the vertical side is 2.2 m. For the following round your answers to at least 3 significant figures and include the units. You may assume that the mass density of water is 1000 kg/m³ and the acceleration due to gravity is 981
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The viewing window in a large fish tank in an aquarium has a shape as shown below.
The top curve of the window is a parabola that opens horizontally with its vertex at the lower right corner. The length of the horizontal base is 3.8 m and the height of the vertical side is 2.2 m.
For the following, round your answers to at least 3 significant figures and include the units. You may assume that the mass density of water i 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s2
a. Suppose that the surface of water in the tank is 3.8 m above the bottom of the window.
Find the hydrostatic force acting on the window.
Force=
Find the location of the centre of pressure.
The centre of pressure is
b. Suppose part of the water
Find the hydrostatic force acting on the window.
Force =
to the right of the vertical side and
Find the location of the centre of pressure.
The centre of pressure is
drained and the surface of water in the tank becomes 1.1 m above the bottom of the window.
to the right of the vertical side and
above the horizontal side of the window.
Use a calculator or a computer algebra system to evaluate the integrals.
above the horizontal side of the window.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc66016b2-b7db-4642-a942-288239069ba1%2F1fa4423b-d7bb-4295-a1ee-55b98a8acafe%2Fqjx71mf_processed.png&w=3840&q=75)
Transcribed Image Text:The viewing window in a large fish tank in an aquarium has a shape as shown below.
The top curve of the window is a parabola that opens horizontally with its vertex at the lower right corner. The length of the horizontal base is 3.8 m and the height of the vertical side is 2.2 m.
For the following, round your answers to at least 3 significant figures and include the units. You may assume that the mass density of water i 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s2
a. Suppose that the surface of water in the tank is 3.8 m above the bottom of the window.
Find the hydrostatic force acting on the window.
Force=
Find the location of the centre of pressure.
The centre of pressure is
b. Suppose part of the water
Find the hydrostatic force acting on the window.
Force =
to the right of the vertical side and
Find the location of the centre of pressure.
The centre of pressure is
drained and the surface of water in the tank becomes 1.1 m above the bottom of the window.
to the right of the vertical side and
above the horizontal side of the window.
Use a calculator or a computer algebra system to evaluate the integrals.
above the horizontal side of the window.
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