An image forming apparatus including: a sheet feeding roller which feeds a sheet accumulated on a tray; and a hardware processor which: detects a movement speed of the sheet currently fed by the sheet feeding roller; and calculates a difference amount between the movement speed and a first reference speed, and determines a life of the sheet feeding roller based on the difference amount, wherein the hardware processor determines whether or not to use the movement speed of a first sheet for life determination based on a relationship between the movement speed of the first sheet and the movement speed of a sheet fed before the first sheet, and if the hardware processor determines not to use the movement speed of the first sheet for the life determination, the hardware processor calculates the difference amount by excluding the movement speed of the first sheet.

An image forming apparatus including: a sheet feeding roller which feeds a sheet accumulated on a tray; and a hardware processor which: detects a movement speed of the sheet currently fed by the sheet feeding roller; and calculates a difference amount between the movement speed and a first reference speed, and determines a life of the sheet feeding roller based on the difference amount, wherein the hardware processor determines whether or not to use the movement speed of a first sheet for life determination based on a relationship between the movement speed of the first sheet and the movement speed of a sheet fed before the first sheet, and if the hardware processor determines not to use the movement speed of the first sheet for the life determination, the hardware processor calculates the difference amount by excluding the movement speed of the first sheet.

An image forming apparatus including: a sheet feeding roller which feeds a sheet accumulated on a tray; and a hardware processor which: detects a movement speed of the sheet currently fed by the sheet feeding roller; and calculates a difference amount between the movement speed and a first reference speed, and determines a life of the sheet feeding roller based on the difference amount, wherein the hardware processor determines whether or not to use the movement speed of a first sheet for life determination based on a relationship between the movement speed of the first sheet and the movement speed of a sheet fed before the first sheet, and if the hardware processor determines not to use the movement speed of the first sheet for the life determination, the hardware processor calculates the difference amount by excluding the movement speed of the first sheet.

An image forming apparatus including: a sheet feeding roller which feeds a sheet accumulated on a tray; and a hardware processor which: detects a movement speed of the sheet currently fed by the sheet feeding roller; and calculates a difference amount between the movement speed and a first reference speed, and determines a life of the sheet feeding roller based on the difference amount, wherein the hardware processor determines whether or not to use the movement speed of a first sheet for life determination based on a relationship between the movement speed of the first sheet and the movement speed of a sheet fed before the first sheet, and if the hardware processor determines not to use the movement speed of the first sheet for the life determination, the hardware processor calculates the difference amount by excluding the movement speed of the first sheet.

A hitch angle module determines a hitch angle based on an input from at least one of a vehicle rear camera and a hitch angle sensor. The hitch angle is an angle between a longitudinal centerline of a trailer and a longitudinal centerline of a vehicle. A trailer load sensor measures a load on a trailer hitch of the vehicle. A trailer wheel speed sensor measures a wheel speed of the trailer. A trailer dimension module determines at least one of a width of the trailer, a mass of the trailer, a drawbar length of the trailer, a height of the trailer, and a trailer hitching length of the vehicle based on at least one of the hitch angle, the trailer load, and the trailer wheel speed. The trailer hitching length is a distance from a rear axle of the vehicle to a distal end of the trailer hitch.

A hitch angle module determines a hitch angle based on an input from at least one of a vehicle rear camera and a hitch angle sensor. The hitch angle is an angle between a longitudinal centerline of a trailer and a longitudinal centerline of a vehicle. A trailer load sensor measures a load on a trailer hitch of the vehicle. A trailer wheel speed sensor measures a wheel speed of the trailer. A trailer dimension module determines at least one of a width of the trailer, a mass of the trailer, a drawbar length of the trailer, a height of the trailer, and a trailer hitching length of the vehicle based on at least one of the hitch angle, the trailer load, and the trailer wheel speed. The trailer hitching length is a distance from a rear axle of the vehicle to a distal end of the trailer hitch.

A contactless and/or non-invasive system and method of determining the rotational state and/or speed of a rotor is provided for an X-ray tube including a liquid metal bearing. The system includes a vibration sensor that is affixed to the exterior of the x-ray tube and is utilized to detect the vibrations generated by the spinning of the rotor and liquid metal bearing assembly within the x-ray tube. The x-ray tube has signature vibration signal based on the construction and rotor speed of the x-ray tube. The system and method of the invention used to detect the rotor state/speed includes a sensor to pick up the vibration from the x-ray tube and perform signal processing, and a software algorithm stored within the device or on an operably connected device or system that can analyze the vibration data from the sensor to indicate whether the anode in the x-ray tube is spinning.

To provide a high-reliable transfer mold type sensor device in which a combined sensor including a plurality of sensors having a function of detecting physical amounts, a substrate processing a signal from the combined sensor and controlling a signal input/output with an external device, a chip pad mounted with the combined sensor and the substrate, and a lead frame are sealed with a mold resin and a package is formed, the combined sensor is configured to be thicker than the substrate and the chip pad, a principal surface side of the combined sensor is covered with the mold resin and a back surface side thereof contacts the substrate by a joint material, and the combined sensor is arranged on a package neutral surface in a cross-section of a thickness direction of the package including the combined sensor, the substrate, and the chip pad.