Graduated Cylinder: Used to measure precise volumes of water for consistency in the experiment.
Water: Serves as the fluid for the oscillation experiment.
Transparent Straw: A clear straw with a diameter of approximately 5 to 10 mm. The straw should have a total length of about 20 cm. Its transparency allows easy observation of fluid levels and movements.
Floating Ball: A small floating object with a diameter of about 2 to 4 mm is placed inside the straw to enhance optical contrast and make it easier to track fluid oscillations and surface-level movement. This will help in video recording and marking the position of the liquid surface.
Network Camera: A high-resolution camera connected to a network for recording the oscillations. The camera should be capable of capturing video at sufficient frames per second (e.g., 24 fps) to track the oscillations accurately.
This setup ensures the equipment is properly aligned with the experiment's needs, facilitating clear observation and accurate data collection.
Step 1: Fix Initial Height Z0: Maintain a constant initial fluid level Z0 inside the straw. Vary the water surface height h for five different levels by adjusting the immersion depth of the straw in the water. This results in five distinct experimental setups.
Step 2: Video Recording: Record five videos, each corresponding to a different immersion depth h. For each trial, use a network camera (with a frame rate of 30 frames per second) to capture the changes in the fluid level within the straw. Ensure that the videos capture the fluid oscillations and surface movement.
Step 3: File Management: After recording the videos, transfer each of them to the home directory of the computer (with the path: /home/nano). Could you organize the videos into this directory for further processing?
Step 4: Convert Videos to AVI Format: Convert the recorded videos into AVI format. Refer to the "Image Capture and Analysis" section for detailed conversion instructions.
Step 5: Image Analysis: Use the software ImageJ to analyze the recorded videos. Extract the position of the liquid level frame by frame. Follow the method outlined in the "Image Capture and Analysis" section to accurately track and record the liquid’s position within the straw over time.
Step 6: Data Extraction and Processing: Once the liquid level data has been extracted, organize the raw data into a preliminary dataset. Save this data as a CSV file for further analysis. Refer to the "Time Calibration and Data Processing" section for data handling and ad formatting details.
This procedure ensures that the experiment is conducted with proper data collection and organization, facilitating detailed analysis of the liquid resistance and behavior under different conditions.
Step 1: Organize Data Files: Place the completed data files into the same directory as the Python executable or the working directory of the Python environment.
Step 2: Open Jupyter Notebook: Launch Jupyter Notebook and follow the provided code and instructions in the "Python Code & Analysis" section. I'd appreciate it if you could import the data files into the notebook in the sequence outlined, making sure the data is properly formatted for analysis.
Step 3: Interactive Parameter Adjustment: Use the interactive interface within the notebook to adjust key parameters, including the water surface height h, gravitational constant g, and damping coefficient b. As you adjust these parameters, fit the red Newton’s law model curve to match the blue experimental data points.
Step 4: Record the Damping Coefficient b: For each trial, once the Newton’s law model is fitted to the experimental data, record the corresponding fluid damping coefficient b from the fitting process.
Step 5: Plot b vs. h: After determining the damping coefficient b for each of the different heights h, create a plot to visualize the relationship between the fluid damping coefficient and the height. Could you record this plot and include it in the provided worksheet?
This detailed process ensures precise data analysis and helps visualize the relationship between the height of the liquid column and the fluid’s damping behavior.