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Can someone explain this?

  • 07-11-2013 3:34pm
    #1
    Interslice
    Registered Users, Registered Users 2 Posts: 3,506 ✭✭✭


    Hi,

    Quick question

    If you multiply 24E-6 m/s by 10^6 µm/m

    do you get 24E-6 µm/s


    Can't get my head around it, an explaination why would be great too.

    Thanks


Comments

  • #2
    locum-motion
    Registered Users, Registered Users 2 Posts: 5,143 ✭✭✭locum-motion


    Interslice wrote: »
    Hi,

    Quick question

    If you multiply 24E-6 m/s by 10^6 µm/m

    do you get 24E-6 µm/s


    Can't get my head around it, an explaination why would be great too.

    Thanks

    What's a micrometre per metre?


  • #3
    Interslice
    Registered Users, Registered Users 2 Posts: 3,506 ✭✭✭Interslice


    Not sure. In my head 10^6 micrometres per metre is 10?


  • #4
    bnt
    Registered Users, Registered Users 2 Posts: 13,076 ✭✭✭✭bnt


    Interslice wrote: »
    Not sure. In my head 10^6 micrometres per metre is 10?
    Almost - it's equal to 1.
    1 µm = 10^(-6) m.
    10^6 times 10^(-6) = 10^(6-6) = 10^0 = 1.
    So multiplying anything by 10^6 µm/m doesn't change it at all!

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • #5
    locum-motion
    Registered Users, Registered Users 2 Posts: 5,143 ✭✭✭locum-motion


    locum-motion wrote: »
    What's a micrometre per metre?
    Interslice wrote: »
    Not sure. In my head 10^6 micrometres per metre is 10?


    What property of anything has a unit of micrometres per metre? Are you sure you posted the question correctly? What's the context? Perhaps you should post the whole question?


  • #6
    ZorbaTehZ
    Registered Users, Registered Users 2 Posts: 2,149 ✭✭✭ZorbaTehZ


    locum-motion wrote: »
    What property of anything has a unit of micrometres per metre?

    There are many things, one that springs to mind is electron drift velocity.

    EDIT: I see I misread the question - I thought you were asking um/s. Note that micrometres per metre is not a unit, it is just a number.


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  • #7
    Ciaran
    Registered Users, Registered Users 2 Posts: 939 ✭✭✭Ciaran


    locum-motion wrote: »
    What property of anything has a unit of micrometres per metre? Are you sure you posted the question correctly? What's the context? Perhaps you should post the whole question?

    It's just a way of changing the units from m/s to µm/s. 1m/s x 10^6µm/m = 10^6µm/s


  • #8
    ray giraffe
    Registered Users, Registered Users 2 Posts: 338 ✭✭ray giraffe


    24E-6 m/s multiplied by 10^6 µm/m

    =(24x10^-6)x(10^6) µm/s

    =24x10^0 µm/s

    =24 µm/s


  • #9
    ZRelation
    Registered Users, Registered Users 2 Posts: 108 ✭✭ZRelation


    Multiply the two numbers:

    24E-6 x 10^6 = 24

    Then multiply the units:

    m/s x µm/m = µm/s

    Giving: 24 µm/s


  • #10
    Iderown
    Registered Users, Registered Users 2 Posts: 233 ✭✭Iderown


    A large cross-section steel rod, when compressed, may have a length change measured in micrometers per metre length of the rod.


  • #11
    Interslice
    Registered Users, Registered Users 2 Posts: 3,506 ✭✭✭Interslice


    Thanks for all the responses.

    Here's the full question.

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    vhuk.jpg


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  • #12
    Interslice
    Registered Users, Registered Users 2 Posts: 3,506 ✭✭✭Interslice


    From reading it again and again over the weekend it looks as though 24x10^-6 ms not 24 x10^-6 m/s

    Is it right that my initial question should have been as the ^-1 is bound to the Φ

    (24E-6ms)(10^6µm/m) = 24E-6µm/s


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