View source for Angular Impulse

Claimed by Katherine Delgado.

Angular impulse represents the effect of a moment of force, or torque (<math display="inline">\tau</math>), acting on a system over a certain period of time (<math display="inline">\Delta t</math>). Angular impulse indicates the direction that the system will rotate in (clockwise or counterclockwise).

==The Main Idea==

Angular impulse is the torque acting over some time interval, or the change in angular momentum. If it is positive, it results in the system rotating in a counterclockwise direction. If it is negative, the system will rotate in a clockwise direction. There is no common symbol for angular momentum like how <math display="inline">\vec{F}</math> is for force and <math display="inline">\vec{p}</math> is for momentum, and as a result it is almost always referred to as <math display="inline">\Delta\vec{L}</math>, since it is equal to the change in angular momentum (<math display="inline">\vec{L}</math>), just like how linear impulse (<math display="inline">J</math>) is equal to the change in linear momentum, <math display="inline">\Delta\vec{p}</math>.

===A Mathematical Model===

The angular impulse is equal to the net cross product of a force vector, <math display="inline">\vec{F}</math>, applied at a particular location a vector distance <math display="inline">\vec{d}</math> from a pivot point times a specified time interval <math display="inline">\Delta t</math>. This is also equal to the net torque <math display="inline">\sum{\vec{\tau}}</math> times a specified time interval <math display="inline">\Delta t</math>.

<math>\Delta \vec{L} = \sum{(\vec{F}\times\vec{d})}*\Delta t = \sum{\vec{\tau}}*\Delta t</math>



<math>\Delta L = I\Delta\omega = I\omega_f - I\omega_i</math>

===A Computational Model===

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]


==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]