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The diameter of a human hair is 9 \cdot 10^{-5}9⋅10−59, dot, 10, start superscript, minus, 5, end superscript meters. The diameter of a spider's silk is 3 \cdot 10^{-6}3⋅10−63, dot, 10, start superscript, minus, 6, end superscript meters.

How much greater is the diameter of a human hair than the diameter of a spider's silk?
 

 Sep 23, 2020
 #1
avatar+10319 
+1

The diameter of a human hair is 9 \cdot 10^{-5}9⋅10−59, dot, 10, start superscript, minus, 5, end superscript meters. The diameter of a spider's silk is 3 \cdot 10^{-6}3⋅10−63, dot, 10, start superscript, minus, 6, end superscript meters.

The diameter of a human hair is 0.05 to 0.08 mm. Fine hair is specified as 0.02 to 0.04 meters. The diameter of a spider's silk is only around 0.03 µm in diameter.

How much greater is the diameter of a human hair than the diameter of a spider's silk?
 

Hallo Guest!

 

\(\color{blue}0.05mm=x\cdot 0.03\mu m\cdot\frac{mm}{10^3\mu m}\\ x=\frac{0.05\cdot 10^3mm}{0.03mm}\)

\(x=1.78\cdot 10^3\)

 

The diameter of a human hair is about 1,780 times larger than the silk of the spider.

laugh  !

 Sep 24, 2020
edited by asinus  Sep 24, 2020
edited by asinus  Sep 24, 2020
 #2
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+1

[0.05 + 0.08] / 2 =0.065 mm - average thickness of a human hair.

 

1 mm = 1000 micrometers


0.065 mm x 1000 = 65 micrometers.

 

65 micrometers / 0.03 micrometers


= 2,167 times is the diameter of a human > the diameter of a Spider’s silk.

 Sep 24, 2020
 #3
avatar+10319 
+1

Hello  friend!

Thanks for noticing.
The micro naturally refers to the meter.
Sorry! I will correct it.
greetings

laugh  !

asinus  Sep 24, 2020

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