Angular displacement

About: Angular displacement is a research topic. Over the lifetime, 5102 publications have been published within this topic receiving 46081 citations. The topic is also known as: rotational displacement.

Power screwdriver having rotary input control

Abstract: A power tool includes an output shaft configured to rotate about a longitudinal axis, a motor drivably connected to the output shaft to impart rotary motions thereto, and a rotational motion sensor spatially separated from the output shaft and operable to determine the user-imparted rotational motion of the power tool with respect to the longitudinal axis. A controller is electrically connected to the rotational motion sensor and the motor. The controller determines angular velocity of the power tool about the axis, rotational displacement of the power tool about the axis, and/or a direction of the rotational displacement using input from the rotational motion sensor. The controller then controls the motor according to the angular velocity, the rotational displacement, and/or the direction of the rotational displacement.

Orientation-sensitive signal output

Abstract: Orientation-sensitive signal output, in which a neutral position of a device is automatically determined in relation to at least a first axis, an angular displacement of the device is measured about at least the first axis, and shaking of the device is detected. A selection of the first control is received, and an output signal is output based at least upon the selection and the angular displacement or based upon detecting the shaking of the device.

Inertial mouse system

Abstract: A hand-held inertial mouse provides input data to a computer from which the computer can determine the translational and angular displacement of the mouse. The mouse includes accelerometers for producing output signals of magnitudes proportional to the translational acceleration of the mouse in three non-parallel directions. Pairs of these accelerometers are positioned to detect acceleration along each axis of a cartesian coordinate system such that an angular acceleration of the mouse about any axis of rotation causes representative differences in the magnitudes of the output signals of one or more of these accelerometer pairs. The translational velocity and displacement of the mouse is determined by integrating the accelerometer output signals and the angular velocity and displacement of the mouse is determined by integrating the difference between the output signals of the accelerometer pairs.

Displacement detecting device

Abstract: PROBLEM TO BE SOLVED: To detect a displacement with high resolution, and also with high accuracy even in a severe temperature environment. SOLUTION: An axis of rotation 3 is provided in a housing 1 with the axis freely and angularly displaceable, and a piece to be detected 4 which can be realized by a strong magnetic material is fixed to the axe of rotation 3. A displacement detecting Hall element HE2 and a compensating Hall element HE1 are fixed to the housing. The displacement detecting Hall element HE2 faces a displacement detecting surface 5 where the radius of the piece to be detected 4 changes and accordingly a gap G2 changes in response to the amount of an angular displacement θ. The compensating Hall element H1 faces a compensating surface 6 where the gap G1 is kept constant. A bias voltage is changed and set so that a difference ΔE between the output voltage of the compensating Hall element HE1 and a reference voltage E1 from a reference voltage source becomes zero, and it is given to the displacement detecting Hall element HE2. Thereby, the displacement detecting Hall element HE2 can obtain an accurate output voltage in response to the amount of the angular displacement of the piece to be detected 4, regardless of temperature changes. COPYRIGHT: (C)2002,JPO

Experiments on the motion of solid bodies in rotating fluids

Abstract: Some years ago it was pointed out by Prof. Proudman that all slow steady motions of a rotating liquid must be two-dimensional. If the motion is produced by moving a cylindrical object slowly through the liquid in such a way that its axis remains parallel to the axis of rotation, or if a two-dimensional motion is conceived as already existing, it seems clear that it will remain two-dimensional. If a slow three-dimensional motion is produced, then it cannot be a steady one. On the other hand, if an attempt is made to produce a slow steady motion by moving a three-dimensional body with a small uniform velocity (relative to axes which rotate with the fluid) three possibilities present themselves:— ( a ) The motion in the liquid may never become steady, however long the body goes on moving. ( b ) The motion may be steady but it may not be small in the neighbourhood of the body. ( c ) The motion may be steady and two-dimensional. In considering these three possibilities it seems very unlikely that ( a ) will be the true one. In an infinite rotating fluid the disturbance produced by starting the motion of the body might go on spreading out for ever and steady motion might never be attained, but if the body were moved steadily in a direction at right angles to the axis of rotation, and if the fluid were contained between parallel planes also perpendicular to the axis of rotation, it seems very improbable that no steady motion satisfying the equations of motion could be attained. There is more chance that ( b ) may be true. A class of mathematical expressions representing the steady motion of a sphere along the axis of a rotating liquid has been obtained. This solution of the problem breaks down when the velocity of the sphere becomes indefinitely small, in the sense that it represents a motion which does not decrease as the velocity of the sphere decreases. It seems unlikely that such a motion would be produced under experimental conditions.