A facemask package integrated with a mask sizing ruler is disclosed. The package stores the masks of various sizes. The mask sizing ruler comprising a first measuring gauge element, a second measuring gauge element and one or more sizes indicated thereon. The sizes in the sizing ruler are determined by categorizing one or more precisely previously measured distance from at least two points on one or more human faces into one or more sizes based on at least one distance on one or more masks of one or more mask sizes. At least one distance on one or more masks of one or more mask sizes is proportional to the maximum vertical distance of the mask in unfolded state. A system and method for determining the sizes indicated on the mask ruler are also disclosed. The sizing ruler precisely indicates the size of the mask that most appropriate to a user as the sizes are categorized from real human face dimensions.

A facemask package integrated with a mask sizing ruler is disclosed. The package stores the masks of various sizes. The mask sizing ruler comprising a first measuring gauge element, a second measuring gauge element and one or more sizes indicated thereon. The sizes in the sizing ruler are determined by categorizing one or more precisely previously measured distance from at least two points on one or more human faces into one or more sizes based on at least one distance on one or more masks of one or more mask sizes. At least one distance on one or more masks of one or more mask sizes is proportional to the maximum vertical distance of the mask in unfolded state. A system and method for determining the sizes indicated on the mask ruler are also disclosed. The sizing ruler precisely indicates the size of the mask that most appropriate to a user as the sizes are categorized from real human face dimensions.

An exemplary method may comprise: ascertaining an original distance between a first tooth face and a second tooth face of a sprocket tooth, wherein the sprocket tooth comprises two tooth faces extending from a sprocket core and terminating in a top of the sprocket tooth, wherein an original distance separates the two tooth faces, placing a sprocket gauge on the sprocket tooth, wherein the sprocket gauge comprises: a bottom, and two gauge faces extending from the bottom of the sprocket gauge, wherein the bottom of the sprocket gauge is disposed upon the top of the sprocket tooth and the first gauge face is disposed adjacently on the first tooth; and comparing the original distance defined by the sprocket gauge with an actual distance between the first tooth face and the second tooth face.

A method for rapidly measuring the roller pass major semi-axis of a three-roller reducing mill to improve the outer-diameter precision and surface quality of a steel pipe includes selecting a corresponding value of the average diameter of an elliptical pass, a value of a first major semi-axis, and a value of a minor semi-axis according to a rack station number of a special numerical control lathe; calculating a value of a first line segment according to an elliptic equation, the obtained value of the first major semi-axis, and the obtained value of the minor semi-axis; calculating a value of a second major semi-axis according to the right-angle triangle theorem and the value of the first line segment; and measuring a value of the first dimension by attaching three claws of a three-claw internal micrometer to three roller gaps.

A method for rapidly measuring the roller pass major semi-axis of a three-roller reducing mill to improve the outer-diameter precision and surface quality of a steel pipe includes selecting a corresponding value of the average diameter of an elliptical pass, a value of a first major semi-axis, and a value of a minor semi-axis according to a rack station number of a special numerical control lathe; calculating a value of a first line segment according to an elliptic equation, the obtained value of the first major semi-axis, and the obtained value of the minor semi-axis; calculating a value of a second major semi-axis according to the right-angle triangle theorem and the value of the first line segment; and measuring a value of the first dimension by attaching three claws of a three-claw internal micrometer to three roller gaps.

A device can include a bar; a dynamic clamp assembled to the bar and configured to move with respect to the bar during use to capture dimensions of each of a plurality of physical objects to be measured; an orientation sensor; and a distance sensor configured to sense movement of the dynamic clamp with respect to the bar.

A device can include a bar; a dynamic clamp assembled to the bar and configured to move with respect to the bar during use to capture dimensions of each of a plurality of physical objects to be measured; an orientation sensor; and a distance sensor configured to sense movement of the dynamic clamp with respect to the bar.

A head-measuring device is disclosed and includes a support frame. The head-measuring device also includes a plurality of movable arms comprising a first set of movable arms and a second set of movable arms. The first set includes a first outermost arm, the second set includes a second outermost arm opposite the first outermost arm, and each movable arm is movable between a first position and a second position. The head-measuring device also includes a stationary arm coupled to the support frame such that the stationary arm is approximately equidistant between the outermost arms as the outermost arms are moved between the first and second positions. The plurality of movable arms are parallel to each other and to the stationary arm. The first and second sets of movable arms are mechanically linked such that the first set moves synchronously with the second set between the first and second positions.

A head-measuring device is disclosed and includes a support frame. The head-measuring device also includes a plurality of movable arms comprising a first set of movable arms and a second set of movable arms. The first set includes a first outermost arm, the second set includes a second outermost arm opposite the first outermost arm, and each movable arm is movable between a first position and a second position. The head-measuring device also includes a stationary arm coupled to the support frame such that the stationary arm is approximately equidistant between the outermost arms as the outermost arms are moved between the first and second positions. The plurality of movable arms are parallel to each other and to the stationary arm. The first and second sets of movable arms are mechanically linked such that the first set moves synchronously with the second set between the first and second positions.

An oriented distance measuring system can include a rail; an odometer including a wheel; a first controller; and a first sensor in communication with the first controller, the first sensor configured to sense rotation of the wheel, the first controller configured to collect data from the first sensor, the data being associated with the rotation of the wheel; and a second sensor configured to sense roll, pitch, and yaw of the system.