Final Proyect

FINAL PROYECT

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excel document for the coeff of static friction

excel document for the coeff of static friction

and the final result is:

Angles

 MEASURE ANGLES

To start, I measured the sides for different angles and put those values into the GY and GZ columns. To calculate the angle on my own, I divided the GY value by the GZ value. That division is basically the tangent of the angle I wanted to find.

Then, to get Excel to give me the actual angle, I used the arctangent function on that result. The thing is, Excel gave me those numbers in radians at first (in the ARC TANG column), so I had to convert them into degrees in the ANGLE column so they made more sense. For example, in the first row, it came out to 30.50°.

After that, to see if I did it right, I compared my result with the REAL ANGLE, which was the one we already knew. I subtracted the two to find the ERROR and then calculated the %ERROR to see how much I messed up in each test. In some of them, I got a really low error, like 0.82% or 2.27%, though in a few others, the percentage was a bit higher.

excel

EXCEL 1.1

To create this spreadsheet, I developed a mathematical model that represents a sine wave based on its fundamental components. The objective was to break down the function $Y(T) = A \cdot \sin(W \cdot T + \phi)$ to understand how each variable affects the final result.

1. Definition of Control Variables

At the top of the sheet, I have set up a section for configurable parameters. These values act as the constants of the function:

• W (Angular Frequency): Set at 100, it determines the periodicity of the wave.

• Ø (Initial Phase): Defined at 32.3 degrees, it marks the starting point of the cycle.

• A (Amplitude): With a value of 311, it defines the maximum and minimum height of the wave.

By placing these variables independently, the model is dynamic; any change in these cells automatically updates all calculations and the graph.

2. Development of the Data Table

The main table was designed to perform the calculations sequentially to avoid syntax errors in the formulas:

• Column T (Time): I entered time values distributed between 0 and 6. The choice of non-equally spaced values allows us to observe how the scatter plot interprets the data independently of its order.

• Calculation of the Argument (WT and WT+ø): In the first columns, I calculated the product of the frequency and time and added the initial phase. These calculations were originally performed in sexagesimal degrees.

• Conversion to Radians: Since trigonometric functions in spreadsheets operate in radians by default, I applied the RADIANS function to the previous column. This is a critical step to ensure a correct mathematical representation.

• Calculation of the Y(T) Function: After obtaining the sine of the argument, I multiplied the result by the amplitude A. This scales the wave to the desired values.

3. Graphical Representation

Finally, I generated a Scatter Plot using the data from column T for the x-axis and column Y(T) for the y-axis. The result is a clear visualization of the points that form the wave, allowing for visual verification that the function's behavior matches the expected results based on the input parameters.

To make the document easier to read, I applied cell styles and formatting to clearly distinguish the data entry zones from the calculation and result areas.

mosaic

Mosaic.

1. Create the frame and duplicate it by 9

First, I designed a square frame that would contain each photograph. I made sure it was the size and style I wanted for the mosaic.

Then I duplicated that frame until I had 9 in total, arranging them in a 3x3 grid to form the base of the mosaic.

2. Upload nine photos

Once the structure with the frames was created, I imported nine different photographs.

Each image was placed inside one of the frames, so that each square of the mosaic contained a different photo.

3. Measure and crop each image to fit the frame

Next, I adjusted each photo to fit correctly within its frame.

To do this:

I measured the size of the frame.

I cropped and resized each image to fill the exact space.

I adjusted the position so that the most important part of the photo was centered.

4. Separate each photo and apply a filter

Finally, I worked on each image separately to give it a different style.

I applied a different filter to each photograph (for example: blur, mosaic effect, black and white, texture, etc.).

This gives each frame a unique appearance, but together they form the final mosaic.

 Result: A mosaic of 9 images with different effects, arranged within a grid of identical frames. 

 

 

Ercilla Museum

 Ercilla Museum

In this project, I learned how to make a "museum" of a normal photo:

BEFORE:

AFTER:

Photomontage

 Photomontage

In this project I learned how to change the color in a picture in black and white, but mantaining the principal color of one object.

Here I´m going to put a explication to known how I do it:

First, I opened the original photograph of the cat in the tree. Then I duplicated the layer to work with two versions of the same image: one that would retain the color and another that would be converted to black and white. I desaturated the bottom layer by going to Colors → Desaturate, choosing the option that best preserved the contrast. This made the background black and white.

Next, on the top layer (the one that retained the color), I added a layer mask. I used a soft brush to paint the mask black, covering the entire background and leaving only the cat's body unpainted. This way, the cat remained in color while the rest of the image displayed the black and white layer below.

Once I had finished defining the edges and made sure that only the cat was in color, I added the text. In the upper left corner, I wrote the date “10/02/2026”, and in the lower right corner, I added my name, “Samuel Grosu Olar”. I adjusted the size and color of both texts to white so they would be visible but discreet.

Finally, I saved the file in .xcf format to preserve the layers, and exported the final image in JPG format, as requested.

BEFORE:

AFTER: