Conveying systems and method for measuring accelerations in a conveyor advancing through process equipment and taking remedial and prophylactic action in response. The conveyor system includes a conveyor with embedded accelerometers making measurements conveyor accelerations. A controller uses the measurements to control the speed of the conveyor to compensate for unwanted accelerations or to damp the unwanted accelerations. The controller can also use the measurements to warn of unwanted accelerations or to predict the failure of associated or nearby equipment so that maintenance can be scheduled and to detect imminent failures and shut down the process.