A system that measures a swing of a bat with one or more sensors and analyzes sensor data to create swing quality metrics. Metrics may include for example rotational acceleration, on-plane efficiency, and body-bat connection. Rotational acceleration measures the centripetal acceleration of the bat along the bat's longitudinal axis at a point early in the rotational part of the swing; it is an indicator of the swing's power. On-plane efficiency measures how much of the bat's angular velocity occurs around the swing plane, the plane spanned by the bat and the bat's sweet spot velocity at impact. Body-bat connection measures the angle between the bat and the body tilt axis, which is estimated from the trajectory of the hand position on the bat through the swing; an ideal bat-body connection is near 90 degrees. These three swing quality metrics provide a simple and useful characterization of the swing mechanics.

A new system is described that is able to detect mechanical failures in a rotating shaft or shafts such as those which may be found in an aircraft or other mechanical device or vehicle. The system comprises a first accelerometer provided on the rotating shaft to be monitored and a reference accelerometer provided elsewhere, and further comprising means for comparing information received from these accelerometers so as to determine a fault in the rotating shaft that is being monitored.

An accelerometer arrangement and method are described for determining accelerations of an inground tool. First and second triaxial accelerometers are supported such that a normal sensing axis of the first triaxial accelerometer is at least generally orthogonal to the normal sensing axis of the second triaxial accelerometer for determining the accelerations along the three orthogonal axes based on a combination of sensing axis outputs from one or both of the triaxial accelerometers. A weaker sensing axis of one triaxial accelerometer can be supported at least approximately normal to a weaker sensing axis of another triaxial accelerometer such that the weaker axes are not used. The triaxial accelerometers can be supported such that one axis of one accelerometer can be redundant with respect to another axis of another accelerometer. One triaxial accelerometer can be mounted on a tilted plane with respect to another triaxial accelerometer.

A method for analyzing sensor data from baseball swings (or swings in similar sports) that transforms data into a reference frame defined by the bat orientation and velocity at impact. The trajectory of the sweet spot of the bat is tracked through the swing, and is analyzed to generate metrics describing the swing. A two-lever model of the swing may be used to model the effects of body rotation and wrist rotation. Data may be analyzed to identify relevant events during the swing such as start of downswing, commit (wrist release), on-plane, peak bat speed, and impact. Illustrative swing metrics derived from the sweet spot trajectory, the swing plane reference frame, and the two-lever model include: forward bat speed, on-plane rotation, hinge angle at commit, hinge angle at impact, body rotation ratio, body tilt angle, and swing plane tilt angle.

A method for determining a vehicle wheel's radial acceleration for a tyre pressure monitoring system, having a central electronic unit. The wheels each including a wheel unit attached to a rim or to a valve or the tyre tread's inner face, and including at least one radial acceleration sensor at a distance from the wheel's rotational axis, to measure the wheel's radial acceleration when it is not saturated, and a microprocessor, including: when the radial acceleration sensor is not saturated, measuring the radial acceleration of the wheel using the radial acceleration sensor; determining the wheel's rotation period; deducing, from the radial acceleration and the period, the distance of the wheel unit; storing the distance in the wheel unit's memory; and when the radial acceleration sensor is saturated, determining the wheel's rotation period, and calculating the radial acceleration from the rotation period and the stored distance.

A method for analyzing sensor data from baseball swings (or swings in similar sports) that transforms data into a reference frame defined by the bat orientation and velocity at impact. The trajectory of the sweet spot of the bat is tracked through the swing, and is analyzed to generate metrics describing the swing. A two-lever model of the swing may be used to model the effects of body rotation and wrist rotation. Data may be analyzed to identify relevant events during the swing such as start of downswing, commit (wrist release), on-plane, peak bat speed, and impact. Illustrative swing metrics derived from the sweet spot trajectory, the swing plane reference frame, and the two-lever model include: forward bat speed, on-plane rotation, hinge angle at commit, hinge angle at impact, body rotation ratio, body tilt angle, and swing plane tilt angle.

Systems and methods are disclosed herein for multi-axis single-drive inertial devices. A multi-axis single drive inertial device can include a rotational drive configured to oscillate a plurality of accelerometer proof masses and a plurality of gyroscope proof masses about a z axis and signal processing circuitry configured for determining inertial parameters based on motion of the plurality of accelerometer proof masses and the plurality of gyroscope proof masses. The inertial parameters can include acceleration of the inertial device along an x axis perpendicular to the z axis and along a y axis perpendicular to each of the x and z axes, and rotation of the inertial device about each of the x, y, and z axes.

An accelerometer arrangement and method are described for determining accelerations of an inground tool. First and second triaxial accelerometers are supported such that a normal sensing axis of the first triaxial accelerometer is at least generally orthogonal to the normal sensing axis of the second triaxial accelerometer for determining the accelerations along the three orthogonal axes based on a combination of sensing axis outputs from one or both of the triaxial accelerometers. A weaker sensing axis of one triaxial accelerometer can be supported at least approximately normal to a weaker sensing axis of another triaxial accelerometer such that the weaker axes are not used. The triaxial accelerometers can be supported such that one axis of one accelerometer can be redundant with respect to another axis of another accelerometer. One triaxial accelerometer can be mounted on a tilted plane with respect to another triaxial accelerometer.

A motion analysis method includes a normal mode in which first motion information in a swing is measured by using an output from a sensor unit in a state in which a standing still action is detected, and a simple mode in which second motion information in a swing is measured by using an output from the sensor unit in a state in which the standing still action is not detected, and the number of analysis items is smaller than in the normal mode.

A semiconductor device includes a substrate, a movable portion provided on the substrate, a junction frame provided on the substrate to surround the movable portion, a cap bonded to the junction frame, the cap having a recessed portion and covering a space over the movable portion with the recessed portion facing the movable portion, the cap having an inside wall provided with irregularities, and a prevention film formed on the inside wall of the cap, the prevention film having irregularities on a surface thereof.