vault backup: 2025-06-30 17:30:35

Affected files:
.obsidian/workspace.json
Temporary/Gyroscope.md

.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",

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
+
+$$ F_c = -2m(\Omega \times v)$$
+