Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:appendix:magnitudes

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book:appendix:magnitudes [2022/10/11 22:00] – created jvbook:appendix:magnitudes [2022/10/14 06:48] (current) adam
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 \end{align} \end{align}
  
 +==== Surface area ====
 +\begin{align}
 +1 \, \text{km}^2 &= 1000000 \, \text{m}^2 &= 1 \times 10^{10} \text{cm}^2 \\
 +1 \, \text{m}^2 &= 10000 \, \text{cm}^2 \\ \\
 +1\, \text{cm}^2 &= 0,0001 \, \text{m}^2 \\
 +1\, \text{m}^2 &= 1 \times 10^{-6} \text{km}^2
 +\end{align}
  
  
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 \begin{align} \label{eq:times} \begin{align} \label{eq:times}
-  1 \, \text{year} \simeq \pi \times 10^7  \, \text{s}+  1 \, \text{year} \simeq \pi \times 10^7  \, \text{s} \\ 
 +  1 \, \text{day} &= 24 \, \text{hour} &= 1440 \, \text{min} &= 86400 \, \text{sec} \\ 
 +  1 \, \text{hour} &= 60 \, \text{min} &= 3600 \, \text{sec
 \end{align} \end{align}
 +
  
 ==== Speed ==== ==== Speed ====
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 \begin{align} \begin{align}
 \text{speed of light}  && c_L &= 3 \times 10^8 \: \text{m/s}  \\ \text{speed of light}  && c_L &= 3 \times 10^8 \: \text{m/s}  \\
-\text{speed of sound}  && c_S &= 3  \times 10^2 \: \text{m/s} +\text{speed of sound}  && c_S &= 3  \times 10^2 \: \text{m/s} \\ \\ 
 +\text{average human speed} && v_{human} &= 7\text{km/h} &= 2 \text{m/s}
 \end{align} \end{align}
  
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 \nonumber \\ \nonumber \\
 \text{Earth}    && m_\text{earth} &= 6 \times 10^{24} \: \text{kg} \\ \text{Earth}    && m_\text{earth} &= 6 \times 10^{24} \: \text{kg} \\
-\text{Sun}      && m_\text{sun}   &= 2 \times 10^{30} \: \text{kg} +\text{Sun}      && m_\text{sun}   &= 2 \times 10^{30} \: \text{kg} \\ \\ 
 +\text{average human weight} && m_{human} &= 80 \text{kg}
 \end{align} \end{align}
  
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 </wrap> </wrap>
  
 +\begin{align}
 +1 \, \text{t} &= 1000 \,\text{kg} &= 1000000 \, \text{g}  \\
 +1 \, \text{kg} &= 1000 \,\text{g} &= 1000000 \, \text{mg} \\
 +1 \, \text{g} &= 1000 \, \text{mg}
 +\end{align}
  
 +==== volume ====
 +\begin{align}
 +1 \, \text{m}^3 &= 1000000 \, \text{cm}^3 \\
 +1 \, \text{l} &= 1000 \, \text{cm}^3   \\
 +1\, \text{ml} &= 1 \, \text{cm}^3
 +\end{align}
 ==== Density ==== ==== Density ====
  
book/appendix/magnitudes.1665518410.txt.gz · Last modified: 2022/10/11 22:00 by jv