In physics, yank is the derivative of force with respect to time.[1] Expressed as an equation, yank Y is:


where F is force and \frac{\mathrm{d}}{\mathrm{d}t} is the derivative with respect to time t.

The term yank is not universally recognized but is commonly used.[citation needed] The units of yank are force per time, or equivalently, mass times length per time cubed; in the SI unit system this is kilogram metres per second cubed (kg·m/s3), or Newtons per second (N/s).

Relation to other physical quantities

Newton's second law of motion says that:


where p is momentum, so if we combine the above two equations:

\mathbf{Y}=\frac{\mathrm{d}\mathbf{F}}{\mathrm{d}t}=\frac{\mathrm{d}}{\mathrm{d}t}\left(\frac{\mathrm{d}\mathbf{p}}{\mathrm{d}t}\right)=\frac{\mathrm{d}^2\mathbf{p}}{\mathrm{d}t^2}=\frac{\mathrm{d}^2(m\mathbf{v})}{\mathrm{d}t^2}=\frac{\mathrm{d}^2 m}{\mathrm{d}t^2}\mathbf{v}+2\frac{\mathrm{d}m}{\mathrm{d}t}\frac{\mathrm{d}\mathbf{v}}{\mathrm{d}t}+m\frac{\mathrm{d}^2\mathbf{v}}{\mathrm{d}t^2}

where m is mass and v is velocity. If the mass isn't changing over time (i.e. it's constant), then:


which can also be written as:


where j is jerk.


  1. Gragert, Stephanie (November 1998). What is the term used for the third derivative of position?. Usenet Physics and Relativity FAQ. Math Dept., University of California, Riverside. Retrieved on 2008-03-12.

See also


hu:Yank mr:जोर (चलनगतिकी) scn:Strantuliuni tr:Gücüm

This article uses material from the Wikipedia article Yank (physics), that was deleted or is being discussed for deletion, which is released under the Creative Commons Attribution-ShareAlike 3.0 Unported License.
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