Question

Suppose your hair grows at the rate of 1/55 inch 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, your answer suggests how rapidly atoms are assembled in this protein synthesis.

Answer 1

Answer:5.35nm

Step-by-step explanation:

Consider that 1 inch is = 0.0254m

we have,

1m= 1x10^9 nm

While:

0.0254m = 2.54x10^7nm

1/55 (2.54x10^7) = 4.6181 x 10^5nm

1 day= 24 hrs

= (24x60) when calculating in min

= (24x60x60) calculating in seconds we have:

= 8.64x10⁴sec

In 8.64x10^4 seconds, the hair grows by 4.6181 x 10^5nm

Therefore, the amount by which the hair grows in 1 second will be;

= (4.6181 x 10^5)/(8.64x10^4)

= 5.35nm

The rate of growth will be 5.35nm