How do you convert 8.0 pm/μs to m/s?

1 Answer
Ben
Apr 9, 2018

8.0 p m//mu s8.0pm/μs should converts to 8.0xx10^(-6) m//s8.0×10−6m/s using SI unit conversion.

Explanation:

The lovely thing about SI units is that all of the prefixes mean the same thing, and have numeric equivalents. For example, a nano second is 1xx10^-91×10−9 seconds, and a nano meter is 1xx10^-91×10−9 meters.

For the requested conversion, we have picometers (p mpm) and microseconds (mu sμs).

The "pico" prefix is equivalent to 10^-1210−12 of the base unit.
The "micro" prefix is equivalent to 10^-610−6 of the base unit.

So, a picometer per microsecond ((p m)/(mu s)pmμs) can be represented as such:

(p m)/(mu s)=(1xx10^-12 m)/(1xx10^-6 s)=(1xx10^-12)/(1xx10^-6) m/spmμs=1×10−12m1×10−6s=1×10−121×10−6ms

Now that we have our numeric representation, we can reduce the fraction and get a conversion constant, ultimately giving us our answer:

8(p m)/(mu s)=8xx((1xx10^(cancel(-12)color(red)(-6)))/(1xx10^(cancel(-6)))) m/s

8(p m)/(mu s)=8xx((1xx10^-6)/(1xxcancel(10^(0))color(red)(1))) m/s

8(p m)/(mu s)=8xx(1xx10^-6)m/s

8(p m)/(mu s)=8xx10^-6m/s

Related questions
See all questions in Unit Conversions
Impact of this question
2657 views around the world
You can reuse this answer
Creative Commons License