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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 ...
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 physics, particularly kinematics, jerk is defined as the third derivative of the position function of an object. It is, essentially, the rate at which acceleration changes. In mathematical terms:
For example, a stiff and compact object dropped from 1 m that impacts over a distance of 1 mm is subjected to a 1000 ɡ 0 deceleration. [citation needed] Jerk is the rate of change of acceleration. In SI units, jerk is expressed as m/s 3; it can also be expressed in standard gravity per second (ɡ 0 /s; 1 ɡ 0 /s ≈ 9.81 m/s 3). [citation needed]
The Lorentz self-force derived for non-relativistic velocity approximation , is given in SI units by: = ˙ = ˙ = ˙ or in Gaussian units by = ˙. where is the force, ˙ is the derivative of acceleration, or the third derivative of displacement, also called jerk, μ 0 is the magnetic constant, ε 0 is the electric constant, c is the speed of light in free space, and q is the electric charge of ...
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Even higher derivatives are sometimes also used: the third derivative of position with respect to time is known as the jerk. See motion graphs and derivatives. A large number of fundamental equations in physics involve first or second time derivatives of quantities. Many other fundamental quantities in science are time derivatives of one another:
Kinematics is a subfield of physics and mathematics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.