Q
We have to measure an anlge in normal road bycicle, so that we use your accelerometer ADXL202E to calculate the angle. The angle was found correctly, but when we install the device in the bycicle, the vibration (even in an asphalt road) is high, so that the angle is not valid during a ride. Now I'm asking you, if you have any device that can measure an angle and can be resistent to some vibrations.
A
While sensitive to both engine vibration and tilt of the bike, you can usually separate out these two signals in the frequency domain, recognizing that tilt signals will be close to DC, while engine vibrations will be a few kHz. The ADXL202 provides you with XFILT and YFILT pins which you can use to adjust the bandwidth, more sophisticated processing can be done in a micro to implement higher order filtering.