Suppose your hair grows at the rate of 1/36 inches per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, you answer suggests how rapidly layers of atoms are assembled in this protein synthesis. Your units should be "atomic layers/sec"

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rejkjavik rejkjavik · Answer 1 · 2019-09-18T07:50:51+02:00

Answer:

hair grows at rate of 8.166 nm/s

Explanation:

given data:

grow rate= (1/36)in/day

we know that

1 day = 86400 seconds

therefore we have [tex]= \frac{1}{36}inc / 86400 sec[/tex]

first change equation to [tex]\frac{1}{36}inc / 86400 sec.[/tex]

Then you find x in/s [tex]= \frac{1}{36}inc / 86400 sec[/tex]

[tex]x/s = \frac{1}{36}inc / 86400 sec[/tex]

[tex](86400s)x = (\frac{1}{36}inc) s[/tex]

[tex]x = \frac{\frac{1}{36}\ inc}{86400} = 3.21 x 10^{-7} in/second[/tex]

Now convert in/sec into meters/second.

we know that 1m = 39.37in

[tex]x/1m = \frac{3.21 x10^{-7} in}{39.37\ in}[/tex]

[tex](39.37in)x = (3.21 *10^{-7} in) m[/tex]

[tex]x = \frac{3.21 * 10^{-7}}{39.37}m[/tex]

x = [tex]8.166 * 10^{-9}[/tex] m/second

Now convert [tex]8.166 * 10^{-9}[/tex] m/second into nm/second

we know that [tex]1nm = 10^{-9}m[/tex]

[tex]x/nm = \frac{8.166x 10^{-9} m/second}{10^{-9} m}[/tex]

x =8.166 nm/second

therefore hair grows at rate of 8.166 nm/s