Accelerometer vs. acceleration

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Discussion Overview

The discussion centers around the functioning and interpretation of accelerometers, particularly in relation to their readings when at rest and the nature of the acceleration they measure. Participants explore the concepts of gravitational acceleration, forces acting on accelerometers, and the technicalities of how accelerometers operate, including the role of piezo crystals.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the semantics of accelerometers, noting that an accelerometer at rest produces a reading for gravity and asks what this reading technically represents.
  • Another participant asserts that an accelerometer cannot sense gravitational acceleration directly, but rather measures the force exerted by the ground that prevents it from falling.
  • It is suggested that an accelerometer measures the deviation from gravitational acceleration, indicating that it reads +g when at rest on a surface.
  • A participant introduces the distinction between gravity and gravitation, noting that an Earth-fixed accelerometer senses gravity, not the acceleration due to gravity.
  • Questions arise regarding the operation of piezo crystals in accelerometers, particularly how they can produce a signal under constant force conditions.
  • Another participant clarifies that a piezo crystal under constant force will produce a constant voltage, but questions about measuring that voltage with resistance are raised.
  • Concerns are expressed about the inability to measure acceleration when forces are constant over time, leading to confusion about the readings of accelerometers in different scenarios.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the readings from accelerometers, particularly regarding the interpretation of gravitational acceleration and the operational principles of piezo crystals. The discussion remains unresolved with multiple competing views present.

Contextual Notes

There are limitations in the discussion regarding the definitions of terms like gravity and gravitation, as well as the assumptions about the conditions under which accelerometers operate. The mathematical relationships and principles governing the readings are also not fully resolved.

dhs
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Accelerometer vs. "acceleration"

I'm struggling with the basic semantics of accelerometers. An accelerometer that is at rest will produce an "acceleration" reading for gravity (-9.8m/s^2 on some axis). Based on my intuitive (albeit likely naive) understanding of the principals of physics, an object with a constant acceleration should be in some sort of motion.

But the accelerometer is at rest, it is not moving, let alone accelerating. So technically speaking, the reading is not "acceleration", per se, correct? So from a physics standpoint, what does the accelerometer measure, what is the technical term that should be used here? Inertia? Static acceleration? Dynamic? What about "relative acceleration", but relative to what?

Thanks!

DS
 
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An accelerometer cannot sense the acceleration due to gravity. Nothing can. An accelerometer at rest on the surface of the Earth is sensing the force exerted on the ground that keeps the accelerometer from falling toward the center of the Earth.

The gravitational acceleration is directed toward the center of the Earth (more or less). The acceleration vector reported by a stationary accelerometeris directed upward.
 
You can think of an accelerometer as a device which measures the deviation from the acceleration due to gravity. If an accelerometer is in freefall, then it will have a reading of zero acceleration. So, when the accelerometer is at rest on a surface, it gives a reading of +g; the acceleration that the force countering the graviational force gives to the accelerometer (as stated by DH above.)
 
cristo said:
So, when the accelerometer is at rest on a surface, it gives a reading of +g; the acceleration that the force countering the graviational force gives to the accelerometer.

Not quite. The Earth is rotating. Geodesists distinguish between gravity and gravitation. The former is essentially what an Earth-fixed accelerometer senses; the latter is the acceleration due to gravity.
 
A little question about the working of it. I know it's with a piezo crystal, but when you apply a constant force to a piezo crystal (like gravity g), it won't give a signal because you need to variate the force in time to get a charge variating in time resulting in an electrical stream. i = dq/dt

When this accelerometer isn't moving, how can it give a signal then?
 
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A piezo crystal with a constant force on it will give a constant voltage, provided nothing is dissipating the voltage.
 
Ok, but when you want to measure the voltage with a resistance you need to have a current going through that resistance. And when F = cte then i = 0.

I just don't really get it: in my book it says you can't use a piezo crystal/ accellerometer in d.c. and with slow varying forces. What does that actually mean?

I thought you just can't measure the accelleration when it is constant over time. But Cristo stated when the car is at rest you can measure g. (F = m.g and Cte.F = q and i = dq/dt = 0 => unmeasurable)

Enlighten me please.
 
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