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Beginning physics problem

  1. Aug 23, 2008 #1
    Please help with this problem. I don't understand how you can know a quantity of rainfall over the given city area just by knowing 1.1 cm.


    The problem:
    A heavy rainstorm dumps 1.1 cm of rain on a city 5 km wide and 9 km long in a 2-h period.

    (a)How many metric tons (1 metric ton = 10^3 kg) of water fell on the city? (1 cm^3 of water has a mass of 1 gram = 10^-3 kg.)

    (b)How many gallons of water was this?

    For A, I know that if I can find kg of water, I can find metric tons easily enough. I could find kg by the 1cm=1g=10^-3kg, but I don't know how to find out how much rain was dropped on the city given the dimensions and 1.1 cm. How do you relate these two?

    Thanks,

    Wade
     
    Last edited: Aug 23, 2008
  2. jcsd
  3. Aug 23, 2008 #2

    LowlyPion

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    Homework Helper

    Welcome to PF.

    Maybe ask yourself this question?
    Depth of water times area is volume isn't it?

    Looks like you have what you need.
     
  4. Aug 23, 2008 #3
    so does this mean I should multiply 1.1 cm x 45 km? or should I convert 1.1 cm to 1.1x10^-5 km, and then multiply?

    And then that quantity is my volume of rainfall (in km?)...which I can then relate to cm>grams>kg>metric tons.
     
  5. Aug 23, 2008 #4
    ok i got it.

    Thanks.
     
  6. Aug 23, 2008 #5

    LowlyPion

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    Homework Helper

    Yes you do have it.

    Good luck.
     
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