Abstract: An automated calibration system that includes a probe guide and a target assembly. The probe guide receives an optical probe, and the target assembly includes one or more calibration targets. The target assembly is slideable relative to the probe guide so that a first calibration target is aligned under the optical probe in a first position of the target assembly and a second calibration target is aligned under the optical probe in a second position of the target assembly.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, and electronics to: (a) receive a string of sensor signals from the at least one accelerometer; (b) determine a time of an initial impact of the football with a receiver based upon the received string of sensor signals; and (c) output a catch quality, the catch quality being based upon a portion of the string of sensor signals that is based upon the determined time of the initial impact of the football with the receiver.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, the at least one sensor comprising at least one accelerometer carried by the football and electronics. The electronics are to: (a) receive a string of sensor signals from the at least one sensor; (b) determine a characteristic of a throw of the football based upon the received string of sensor signals; (c) determine an identity of a football player associated with the throw of the football; (d) assign the determined characteristic of the throw of the football to the determined identity of the football player; and (e) output the determined characteristic of the throw, the determined identity of the football player and the assignment of the determined characteristic of the throw of the football to the determined identity the football.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, and electronics. The electronics arranged to: (a) receive strings of sensor signals from the at least one sensor, wherein the characteristic of the throw of the football determined by the electronics; and (b) output throw quality. The throw quality is based upon a combination of at least two throw characteristic determined based upon the received string of sensor signals associated with a throw of the football. The at least two throw characteristics are selected from a group of throw characteristics consisting of: velocity; spin rate; time-of-flight; angle of attack; release angle; cone angle; nutation angle; spiral efficiency; and spiral decay.

Abstract: A football sensing system may include an American-style football extending along a longitudinal axis and having a maximum transverse dimension defining a transverse axis and at least one accelerometer. The football has a bladder and a cover about the bladder. The accelerometer is carried by the football between the bladder and the cover to sense acceleration along at least a first axis. The accelerometer is sized to sense a predetermined maximum value of acceleration in the first axis. The accelerometer is positioned within the football in a first position with the first axis of the accelerometer angled with respect to the longitudinal axis of the football. The accelerometer in the first position is capable of measuring acceleration values in a direction in line with or parallel to the longitudinal axis of the football that are greater than the predetermined maximum value of acceleration in the first axis.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, and electronics to: (a) receive a string of sensor signals from the at least one accelerometer; (b) determine a time of an initial impact of the football with a receiver based upon the received string of sensor signals; and (c) output a catch quality, the catch quality being based upon a portion of the string of sensor signals that is based upon the determined time of the initial impact of the football with the receiver.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, the at least one sensor comprising at least one accelerometer carried by the football and electronics. The electronics are to: (a) receive a string of sensor signals from the at least one sensor; (b) determine a characteristic of a throw of the football based upon the received string of sensor signals; (c) determine an identity of a football player associated with the throw of the football; (d) assign the determined characteristic of the throw of the football to the determined identity of the football player; and (e) output the determined characteristic of the throw, the determined identity of the football player and the assignment of the determined characteristic of the throw of the football to the determined identity the football.

Abstract: An automated objective American-football evaluation system may include an American-style football, at least one sensor carried by the football, and electronics. The electronics arranged to: (a) receive strings of sensor signals from the at least one sensor, wherein the characteristic of the throw of the football determined by the electronics; and (b) output throw quality. The throw quality is based upon a combination of at least two throw characteristic determined based upon the received string of sensor signals associated with a throw of the football. The at least two throw characteristics are selected from a group of throw characteristics consisting of: velocity; spin rate; time-of-flight; angle of attack; release angle; cone angle; nutation angle; spiral efficiency; and spiral decay.

Abstract: A football sensing system may include an American-style football extending along a longitudinal axis and having a maximum transverse dimension defining a transverse axis and at least one accelerometer. The football has a bladder and a cover about the bladder. The accelerometer is carried by the football between the bladder and the cover to sense acceleration along at least a first axis. The accelerometer is sized to sense a predetermined maximum value of acceleration in the first axis. The accelerometer is positioned within the football in a first position with the first axis of the accelerometer angled with respect to the longitudinal axis of the football. The accelerometer in the first position is capable of measuring acceleration values in a direction in line with or parallel to the longitudinal axis of the football that are greater than the predetermined maximum value of acceleration in the first axis.

Abstract: A football sensing system including an American-style football extending along a longitudinal axis and having a maximum transverse dimension defining a transverse axis and at least one accelerometer carried by the football to sense acceleration of the football along at least a first axis. The accelerometer is sized to sense a predetermined maximum value of acceleration in the first axis. The accelerometer is positioned within the football in a first position with the first axis of the accelerometer angled with respect to the longitudinal axis of the football. The accelerometer in the first position is capable of measuring acceleration values in a direction in line with or parallel to the longitudinal axis of the football that are greater than the predetermined maximum value of acceleration in the first axis.

Abstract: A football sensing system including an American-style football extending along a longitudinal axis and having a maximum transverse dimension defining a transverse axis and at least one accelerometer carried by the football to sense acceleration of the football along at least a first axis. The accelerometer is sized to sense a predetermined maximum value of acceleration in the first axis. The accelerometer is positioned within the football in a first position with the first axis of the accelerometer angled with respect to the longitudinal axis of the football. The accelerometer in the first position is capable of measuring acceleration values in a direction in line with or parallel to the longitudinal axis of the football that are greater than the predetermined maximum value of acceleration in the first axis.

Abstract: A golf club vibration dampening and sound attenuation system including an elongated shaft, a club head, a resilient insert assembly, a dampener, and a grip. The shaft has a distal shaft end and a proximal shaft end. The club head is coupled to the distal shaft end, and includes a front wall and a sole portion. The front wall has a rearwardly sloped front strike side and a rear side. The sole portion rearwardly extends from a lower region of the rear side. The rear side and the sole portion define a cavity and a recess. The recess downwardly extends into the sole portion. A resilient insert assembly is positioned in and substantially fills the recess. The insert assembly is coupled to one or both of the sole portion and the lower region. The dampener is disposed within the shaft and has at least one annular radially extending projection.

Abstract: A golf club shaft is provided with increased torsional stiffness by making the outside diameter of the tip end larger. The torsional stiffness per unit weight of the shaft is greater than the torsional stiffness per unit weight of prior shafts. The shaft can be attached to a clubhead by inserting the tip end over a male hosel or over a shaft adapter which is attached to a female hosel.

Abstract: A tennis racket includes a one piece integrally molded frame with a handle portion and a pair of beams which extend from the handle portion to the top of the racket. The height and width of each beam varies along the length of the beam. In addition, each beam has a maximum width and height at the bottom of the strung surface proximate the intersection of the beams and a frame cross piece.