High-Speed Rotation on Matter 3D performance petG case study.
In this scenario, with the help of AI we’re examining the effects of high-speed rotation on a fin printed out of PETG material. The fin has dimensions of 2.4 mm in width and 17.5 mm in height at the tip, and it is positioned at a distance of 67 mm from the center of rotation. The fin is subjected to a high angular velocity of 3400 RPM.
Parameters:
• Width of the tip: 2.4 mm
• Height of the tip: 17.5 mm
• Distance from center: 67 mm
• Density of PETG: 1.23 g/cm³ (unconfirmed)
Calculations:
1. Calculate Mass of the Tip:
• Using the formula for volume (V= width x height), we find the volume of the tip.
• Using the density of PETG, we calculate the mass of the tip.
2. Calculate Centrifugal Force:
• Using the formula F = m x r x w2, where m is the mass of the tip, r is the distance from the center, and w is the angular velocity in radians per second, we calculate the centrifugal force.
3. Calculate G-force:
• Calculate the weight of the tip using W = m x g, where g is the acceleration due to gravity.
• Using the formula for G-force (G-force = Centrifugal force/ weight), we determine the G-force experienced by the fin.
Results:
• Centrifugal Force: Approximately 443.88 N
• Weight of the Tip: Approximately 0.507 N
• G-force: Approximately 874.99 G
Conclusion:
Despite its small size, the fin experiences a significant G-force of approximately 874.99 G due to the high-speed rotation, highlighting the importance of considering centrifugal forces in rotating systems. It’s amazing we can push the limits of printing to the brink of functional parts! A huge part of it all is the science behind the polymers we use without even thinking about it.
#printedreplacementparts #M3D #rapidprototyping
First run of the custom hot end! 🫠
