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?
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.
!