How to get these figures?

MianQi

New Member
I read an article here - How to use the ADXL345 accelerometer sensor it was said:

With the output resolution of ADXL345 being default to 10-bit, we can conclude that the change in acceleration of the object to which the ADXL345 is mounted must be at least 3.822 cm/s2 for +/- 2g or 7.64 cm/s2 for +/- 4g or 15.28 cm/s2 for +/- 8g or 30.57 cm/s2 for +/- 16g measurement range for 1-bit (LSB) change in the sensor response.

I want to know how to get this figures.
 
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Calculate the resolution per bit:
  • For a 10-bit resolution, each bit represents a fraction of the full-scale range.
  • Resolution per bit = FSR / (2^10)
Convert this resolution into acceleration units (cm/s² in this case) based on the selected range:
  • For ±2g range:
    • Resolution per bit = (±2g) / (1024 bits)
    • Calculate the value in cm/s² since 1g ≈ 9.81 m/s².
    • ≈ 0.00390625g/bit (in terms of gravity units)

      Convert gravity units to cm/s²:1g ≈ 9.81 m/s² ≈ 981 cm/s²

      0.00390625g/bit * 981 cm/s²/g ≈ 3.822 cm/s²/bit

      So, for the ±2g range of the ADXL345 accelerometer, each bit change in the sensor response corresponds to approximately 3.822 cm/s² of acceleration change.
 
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