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Obsidian-MBPM4 c96c7f43bb vault backup: 2025-06-30 17:30:35

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.obsidian/workspace.json
Temporary/Gyroscope.md

2025-06-30 17:30:36 +02:00

title, created_date, updated_date, aliases, tags

title	created_date	updated_date	aliases	tags
Gyroscope	2025-06-30	2025-06-30

Gyroscope

A gyroscope is a device to measure angular orientation and angular velocity. Traditionally it was a spinning wheel mounted on three gimbals.

Modern simpler devices make use of the coriolis effect and use vibrating structures instead of a rotating one.

MEMS Gyroscope

A mems gyroscope makes use of a vibrating structure instead of a rotating structure, which makes it much simpler to manufacture.

A drive frame (yellow) is oscillated (usually at 10-40kHz). When the sensor is rotated, the red mass is moved to either side and thus reducing/increasing the contacts to the blue sensing structure. See How MEMS Accelerometer Gyroscope Magnetometer Work & Arduino Tutorial - YouTube for more details. !

The base frequency of vibration: \omega_r
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)

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