Latin letters used in mathematics: Difference between revisions

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{{distinguish|Torricelli's law|Torricelli's theorem|Torricelli's trumpet|Torricelli point}}
== rain Xiangshan ==
{{Unreferenced|date=January 2008}}


In physics, '''Torricelli's equation''' is an equation created by [[Evangelista Torricelli]] to find the final [[velocity]] of an object moving with a constant acceleration without having a known time interval.
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The equation itself is:
<ul>
 
 
:<math> v_f^2 = v_i^2 + 2 a \Delta d \,</math>
  <li>[http://www.scene-source.info/index.php?forums/dvdrip.4/&posted=1 http://www.scene-source.info/index.php?forums/dvdrip.4/&posted=1]</li>
 
 
== Derivation ==
  <li>[http://www.jdjysc.com/plus/feedback.php?aid=38 http://www.jdjysc.com/plus/feedback.php?aid=38]</li>
 
 
Begin with the equation for velocity:
  <li>[http://bbs.jinrongren.net/home.php?mod=space&uid=10953 http://bbs.jinrongren.net/home.php?mod=space&uid=10953]</li>
 
 
:<math>v_f = v_i + at\,\!</math>
</ul>
 
Square both sides to get:
 
:<math>v_f^2 = (v_i + at)^2 = v_i^2 + 2av_it + a^2t^2\,\!</math>
 
The term <math>t^2\,\!</math> appears in the equation for displacement, and can be isolated:
 
:<math>d = d_i + v_it + a\frac{t^2}2</math>
 
:<math>d - d_i - v_it = a\frac{t^2}2</math>
 
:<math>t^2 = 2\frac{d-d_i - v_it}{a} = 2\frac{\Delta d - v_it}{a}</math>
 
Substituting this back into our original equation yields:
 
:<math>v_f^2 = v_i^2 + 2av_it + a^2\left(2\frac{\Delta d - v_it}{a}\right)</math>
 
:<math>v_f^2 = v_i^2 + 2av_it + 2a(\Delta d - v_it)</math>
 
:<math>v_f^2 = v_i^2 + 2av_it + 2a\Delta d - 2av_it\,\!</math>
 
:<math>v_f^2 = v_i^2 + 2a\Delta d\,\!</math>
 
==See also==
* [[Equation of motion]]
 
== External links ==
* [http://encyclopedia2.thefreedictionary.com/Torricelli%27s+equation Torricelli's theorem]
 
{{DEFAULTSORT:Torricelli's Equation}}
[[Category:Kinematics]]

Latest revision as of 18:08, 13 March 2014

rain Xiangshan

I never thought anything in return,オークリーサングラス取扱店.

......

rain Xiangshan,オークリー サングラス ファストジャケット, Luo Feng manor original area.

Luo Feng quietly sitting in front of a desk,オークリー サングラス 価格.

'trouble?' shoulder Baba Ta Hey laughed, 'now feel things are in trouble?'

'What trouble,スポーツサングラス オークリー, big brother for so many years never once asked me to help busy with brother's character,ロードバイク サングラス オークリー, this can please help me ...... then how I had shot!' Luo Feng laughed, 'What's more,オークリー サングラス オーダー, this thing for me, really is not much more difficult, but I need a choice. '

'choice?' Baba Ta Wei suspect.

'ah.'

'I now have two ways to solve this problem.' Luo Feng said,オークリー サングラス 激安, 'The first is to ask my teacher Yan Wang really come out! derivative as my teacher really dry witch king ...... even to the point of the country have to face the Lord that silver snow Hou certainly not neglect, as long as the problem is not just the teacher faces,サングラス オークリー 人気, things will be solved 相关的主题文章: