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How to transform acceleration from m/s2 to km/h2 and reversed?

  1. Oct 9, 2011 #1
    1. The problem statement, all variables and given/known data

    0,27m/s2=? km/h2


    2. Relevant equations

    1m = 1/1000 km
    1s = 1/3600 hours

    3. The attempt at a solution

    I have no idea.
     
  2. jcsd
  3. Oct 9, 2011 #2

    SteamKing

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    Not even a guess?
     
  4. Oct 10, 2011 #3
    I would really need an answer within 20 minutes :D

    I guess if you have for ex. 5 m/s2 in km/h2 you would do

    5*(1/1000)/(1/3600)2

    if that is correct, how to finish? Do you really have to square 3600 or is there an easier way?
     
  5. Oct 10, 2011 #4
    Yep. You have to square 3600. It's pretty easy if you break it up into parts. (a+b)^2 = a^2 + 2ab + b^2

    (3000 + 600)^2 = 3000^2 + 2(3000)(600) + 600^2 = 9000000 + 3600000 + 360000 = 12960000

    Alternatively, (ab)^2 = a^2 * b^2 = 36^2 * 100^2 = 1296 * 10000 = 12960000
     
  6. Oct 10, 2011 #5
    More easier method to convert km/hr2 ----> m/s2 is to multiply the value in km/hr2 by 1/12960 .

    To do reverse multiply the value in m/s2 by 12960.

    :wink:

    So in your case ,
    5 m/s2 = 5*12960
    = 64800 km/hr2
     
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