Results 1 to 2 of 2

Math Help - Conversions (cm/sec to km/day)

  1. #1
    Junior Member Melancholy's Avatar
    Joined
    Sep 2007
    From
    In a cottage
    Posts
    54

    Conversions (cm/sec to km/day)

    An object travels at a speed of 7500 cm/sec. How far will it travel in kilometers in one day?

    First, it is required that I have a unit plan
    (Ex. mm -> cm -> meters)

    Second, I must show the conversion factors
    (Ex. 10mm/1cm, 100cm/1meter)

    Third, I must perform and solve the problem using my conversion factors.
    (Ex. They want me to convert 1meter to mm. Using my conversion factors, it looks like this: 1m x 100cm/1m x 10mm/1cm. The answer is 1000mm = 1meter)

    *note: obviously, the example I used has nothing to do with the problem I am currently struggling with (the one in bold).

    To solve the bold problem, I first need to come up with a unit plan... but I don't know how to with this one. Please help me

    (This is actually chemistry work I am doing)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Oct 2008
    Posts
    46
    We know that there are 24 hrs in a day, 60 min in a hr, and 60 sec in an min. Putting all this together, we get:

    1day*24hr/day*60min/hr*60sec/min

    86,400 sec in a day.

    No we can solve your question.

    d = v*t

    d = 7500cm/sec * 86,400sec

    d = 648,000,000 cm/sec


    To convert cm to km, we know that:

    1cm = 1/100m and
    1m = 1/1000km

    So, we multiply these two fractions to get

    1cm = 1/100000km


    Finally, we multiply this conversion factor by our answer to get our answer in km.

    648,000,000/100,000 = 6480km in one day.

    When we multiply v (which is in cm/sec) by t (which is in sec) we are left with the unit of cm.

    Hopefully this makes sense.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A few conversions, need help?
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: September 23rd 2010, 11:52 AM
  2. conversions
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: August 29th 2010, 08:05 PM
  3. conversions
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: August 10th 2010, 08:43 PM
  4. Conversions?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 9th 2010, 07:44 PM
  5. Conversions Again
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: September 10th 2008, 05:17 PM

Search Tags


/mathhelpforum @mathhelpforum