SaM - Gyroscope

Remeber:

• Structure:
  (A vibrating mass hold on a spring)
  
• Principle of opeation:
  (If the sensor is rotated the mass is no longer in the center of the sensor, and we have a shift in mass)
  
• Mirrored to cancel the non-rotation forces on the sensor:
  (The gyrosensor senses the misalagnment to sense the rotation)
  
• Youtube

The structure of a gyroscope is:

• A vibrating mass is held in place by a bunch of spring, similar to an accelerometer.
  The mass vibrates with velocity $\vec{v}$.NOT_SURE_ABOUT_THIS
• It uses the principle of the Coriolios acceleration, to relate an angular velocity to an acceleration, the formula is:$\vec{a}=-2\vec{\Omega }\times \vec{v}$We can measure this acceleration like we do for the accelerometer, using strain gauges, instead of simple springs.

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Memory Card

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If we rotate a piece of metal moving at velocity ${\vec{v}}_x$ (or in this case it will oscillate at this velocity) with an angular momentum ${\vec{\Omega }}_z={\vec{\dot{\theta }}}_z$, than this piece of metal will experience an acceleration equal to:$\vec{a}=-2\vec{\Omega }\times \vec{v}$ So if they are perpendicular, as in this case:$a_y=-2{\Omega }_z{v}_x$ Then suppose this metal object is fixed with a spring $K$, so: