Question

A triangular aquarium window with dimensions as shown contains fresh water all the way to the...

A triangular aquarium window with dimensions as shown contains fresh water all the way to the top.Find the force on the window from the water pressure.(Carefully show all steps including setting up the integral)Hint: To check your answer, find the force on the lower triangular part of a 2.0 m x 3.0 m rectangular window, add to the upper triangle force and compare to the book equation for the force on a rectangular area.

Paper Homework Format:

Please use the following format, guidelines and rubric for all future paper homework:

For full credit, include all of the following. No work, no credit!

1) Briefly state the problem (Given:). (0.25 points)

2) Briefly state the question (Find:). (0.25 points)

3) Draw a picture of the situation with information shown.; (0.5 points)

4) Specify the meaning of variables (example: “x is the distance from the top surface of the

liquid to the bottom of the window” or “P1 is the pressure at point (1) in my diagram”)

When constructing an integral, start with a general equation, define your variables (for

example: “ dA is the area of the triangle of height h shown in the figure”; or “dF is the force

exerted on the small rectangle of length L and width dx shown in the figure”) and justify the

choice for your integral limits, if applicable.

No credit will be given for any further work that includes any variable whose meaning was

not specified.

This step is worth (1.5 points) if consistent with the diagram, or (0 points) if there is no

diagram.

5) In your mind estimate the answer you’re looking for and think about units.

6) Select a relationship (general principle and equation) between the known quantities and the

unknown. A general equation or principle is one of the end-of-chapter equations; it can not

be a formula derived for a different/previous problem or a formula found on the internet or

any other source. (It is a good idea to become familiar with the end-of-chapter equations, as

those are the only equations provided for exam).

Write the general equation first.

In the general equation, substitute your variables from step 4 above.

This step is worth (1.5 points)

7) Solve for the unknown variable, showing all the intermediate algebraic steps. Use symbolic

notation (not numbers) during this step. (0.5 points)

8) Once you derived a final formula, plug in numbers and units and come up with the answer.

Box or double underline the answer to highlight it. It should include appropriate units and

significant figures. (0.5 points).

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