Respuesta :
We just need to convert, separately, inches to (nano)meters, and days to second.
One inch is 0.0254 meters, and there are 10^9 nanometers in one meter. So, there are [tex] 0.0254 \times 10^9 [/tex] nanometers in an inch.
On the other hand, one days is composed by 24 hours, each composed by 60 minutes each composed by 60 seconds. So, there are
[tex] 24 \times 60 \times 60 = 86400 [/tex] seconds in a day.
Now we can perform the substitution:
[tex] 1.25 \dfrac{\text{inch}}{\text{day}} = 1.25\times \dfrac{0.0254 \times 10^9\text{nanometer}}{86400\text{ seconds}} = \dfrac{1.25\times0.0254 \times 10^9\text{nanometer}}{86400\text{ seconds}} [/tex]
You can simplify the numeric part, getting
[tex] 1.25\times0.0254 \times 10^9 = 0.03175 \times 10^9 = 3.175 \times 10^7 [/tex]
and thus
[tex] \dfrac{3.175 \times 10^7}{86400} = 0.03674768518\times 10^7 = 3.674768518 \times 10^5 [/tex]
So, that's the speed, misured in nanometers per second.
