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

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Affected files:
.obsidian/workspace.json
Temporary/Gyroscope.md
This commit is contained in:
Obsidian-MBPM4
2025-06-30 17:30:36 +02:00
parent 71e8599a8d
commit c96c7f43bb
2 changed files with 7 additions and 2 deletions
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4
.obsidian/workspace.json vendored
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@@ -353,10 +353,10 @@
} }
] ]
}, },
"active": "554d0a8a002b7009", "active": "cc1f2bd702873329",
"lastOpenFiles": [ "lastOpenFiles": [
"Excalidraw/Drawing 2025-06-30 16.39.01.excalidraw.md",
"Temporary/Madgwick Filter.md", "Temporary/Madgwick Filter.md",
"Excalidraw/Drawing 2025-06-30 16.39.01.excalidraw.md",
"Temporary/Gyroscope.md", "Temporary/Gyroscope.md",
"Attachments/Pasted image 20250630155216.png", "Attachments/Pasted image 20250630155216.png",
"Attachments/madgwick_internal_report.pdf", "Attachments/madgwick_internal_report.pdf",

5
Temporary/Gyroscope.md
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@@ -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. - 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: - 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:
$$ y_op = \frac{F_c}{k_{op}} = \frac{1}{k_{op}} 2m\Omega X_{ip}\omega_r cos(\omega_r t)$$ $$ y_op = \frac{F_c}{k_{op}} = \frac{1}{k_{op}} 2m\Omega X_{ip}\omega_r cos(\omega_r t)$$
### Coriolis Force
$$ F_c = -2m(\Omega \times v)$$