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Need help with these two questions.

 Aug 28, 2018
 #1
avatar+20831 
+3

1.

In Africa one "su" is 1.66 meters.

The average height of a human is 5 feet and 7 inches.

How to convert this height to units of "su" ?

 

feet to inches:

\(\begin{array}{|rcll|} \hline && 5\ \text{feet} + 7\ \text{inches} \\\\ &=& 5\ \text{feet} \cdot \dfrac{12\ \text{inches}}{1\ \text{feet}} + 7\ \text{inches} \\\\ &=& 60\ \text{inches} + 7\ \text{inches} \\\\ &=& 67\ \text{inches} \\\\ \hline \end{array} \)

 

inches to "su":

\(\begin{array}{|rcll|} \hline && \mathbf{67\ \text{inches}} \\\\ &=& 67\ \text{inches} \cdot \dfrac{ 2.54\ \text{cm} }{ 1\ \text{inch}} \cdot \dfrac{ 1\ \text{meter} }{ 100\ \text{cm}} \cdot \dfrac{ 1\ \text{su} }{ 1.66\ \text{meter}} \\\\ &=& \dfrac{67\cdot 2.54}{ 100\cdot 1.66} \ \text{su} \\\\ &=& \dfrac{170.18}{ 166} \ \text{su} \\\\ &\mathbf{=}& \mathbf{1.02518072289 \ \text{su}} \\ \hline \end{array}\)

 

laugh

 Aug 28, 2018
edited by heureka  Aug 28, 2018
 #2
avatar+20831 
+2

2.
Convert 373 milliseconds to units of megashakes.
One "shake" is equal to 10 nanoseconds[ns].

 

\(\begin{array}{|rcll|} \hline && \mathbf{373\ \text{ms}} \\\\ &=& 373\ \text{ms} \cdot \dfrac{ 1000000\ \text{ns} }{ 1\ \text{ms}} \cdot \dfrac{ 1 \ \text{shake} }{ 10\ \text{ns}} \cdot \dfrac{ 1 \ \text{megashake} }{ 1000000\ \text{shake}} \\\\ &=& \dfrac{ 373\cdot 1000000 }{ 10\cdot 1000000 }\ \text{megashake} \\\\ &=& \dfrac{ 373 }{ 10 }\ \text{megashake} \\\\ &\mathbf{=}& \mathbf{37.3\ \text{megashake}} \\ \hline \end{array} \)

 

laugh

 Aug 28, 2018

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