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Snap, [6] or jounce, [2] is the fourth derivative of the position vector with respect to time, or the rate of change of the jerk with respect to time. [4] Equivalently, it is the second derivative of acceleration or the third derivative of velocity, and is defined by any of the following equivalent expressions: = ȷ = = =.
In mechanical engineering, jerk, in addition to velocity and acceleration, is considered in the development of cam profiles because of tribological implications and the ability of the actuated body to follow the cam profile without chatter. [11] Jerk is often considered when vibration is a concern. A device that measures jerk is called a ...
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. [1] It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.
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There is a generally used term for jerk's scalar magnitude, and it is jerk, the same as there is a generally used term for scalar acceleration- acceleration. Volunteer1234 ( talk ) 17:05, 22 August 2018 (UTC) [ reply ]
Integrals and derivatives of displacement, including absement, as well as integrals and derivatives of energy, including actergy. (Janzen et al. 2014) In kinematics, absement (or absition) is a measure of sustained displacement of an object from its initial position, i.e. a measure of how far away and for how long.
For acceleration the unit is m s⁻² or m⋅s⁻² or m/s², not ms⁻². For jerk the unit is m s⁻³ or m⋅s⁻³ or m/s³, not ms⁻³. For jounce the unit is m s⁻⁴ or m⋅s⁻⁴ or m/s⁴, not ms⁻⁴. As a unit, m juxtaposed with s [no intervening space nor centered dot] is required to be interpreted as millisecond.
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