Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:chap1:1.3_order-of-magnitude_guesses [2021/10/26 22:43] jvbook:chap1:1.3_order-of-magnitude_guesses [2022/04/01 19:28] (current) jv
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 +[[basics| 1. Basic Principles]]
 +  * [[ 1.1 Basic notions of mechanics ]]
 +  * [[ 1.2 Dimensional analysis ]]
 +  * ** 1.3 Order-of-magnitude guesses **
 +  * [[ 1.4 Problems ]]
 +  * [[ 1.5  Further reading ]]
 +
 +----
 +
 ===== 1.3 Order-of-magnitude guesses ===== ===== 1.3 Order-of-magnitude guesses =====
  
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 (see [[#fig_pendulum-omg|Figure 1.3]]). (see [[#fig_pendulum-omg|Figure 1.3]]).
 \\ \\
-As discussed in [[book:chap1:1.1_basic_notions_of_mechanics#bsp_pendulum-nodim|Example 1.8]] the dimensionless time unit for this problem is $\sqrt{L/g}$. +As discussed in [[book:chap1:1.2_dimensional_analysis#bsp_pendulum-nodim|Example 1.8]] the time unit for this problem is $\sqrt{L/g}$. 
-Hence we estimate that the period $T$ of the pendulum is of the order of+Hencewe estimate that the period $T$ of the pendulum is of the order of
 $ $
 T \simeq \sqrt{L/g}  T \simeq \sqrt{L/g} 
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 </WRAP> </WRAP>
  
-<WRAP box round>**Example 1.11** <wrap em>The speed of Tsunami waves</wrap> \\ +<WRAP box round #Tsunami-speed-omg>**Example 1.11** <wrap em>The speed of Tsunami waves</wrap> \\ 
 A Tsunami wave is a water wave that is generated by an earth quake or an underwater land slide. A Tsunami wave is a water wave that is generated by an earth quake or an underwater land slide.
 Typical wave lengths are of an order of magnitude $\lambda = 100\,\text{km}$. Typical wave lengths are of an order of magnitude $\lambda = 100\,\text{km}$.
book/chap1/1.3_order-of-magnitude_guesses.1635280989.txt.gz · Last modified: 2021/10/26 22:43 by jv