diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index c9de87f..6e8673e 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -353,10 +353,10 @@ } ] }, - "active": "554d0a8a002b7009", + "active": "cc1f2bd702873329", "lastOpenFiles": [ - "Excalidraw/Drawing 2025-06-30 16.39.01.excalidraw.md", "Temporary/Madgwick Filter.md", + "Excalidraw/Drawing 2025-06-30 16.39.01.excalidraw.md", "Temporary/Gyroscope.md", "Attachments/Pasted image 20250630155216.png", "Attachments/madgwick_internal_report.pdf", diff --git a/Temporary/Gyroscope.md b/Temporary/Gyroscope.md index 62fca19..be96c52 100644 --- a/Temporary/Gyroscope.md +++ b/Temporary/Gyroscope.md @@ -22,3 +22,8 @@ When the sensor is rotated, the red mass is moved to either side and thus reduci - acceleration due to coriolis effect: $a_c = 2(\Omega \times v)$, where $v$ is a velocity and $\Omega$ is an angular rate of rotation. - The vibration has an expected in-plane velocity and position, which is not interesting. However, a rotation induces an out-of-plane motion $y_{op}$ which we can measure and thus determine the rate of rotation: $$ y_op = \frac{F_c}{k_{op}} = \frac{1}{k_{op}} 2m\Omega X_{ip}\omega_r cos(\omega_r t)$$ + +### Coriolis Force + +$$ F_c = -2m(\Omega \times v)$$ +