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Homework Help: Sizing a winch for loading onto a ramp

  1. Apr 13, 2010 #1
    1. The problem statement, all variables and given/known data

    this isn't a homework problem, but i guess it's a basic enough question that i figured i'd post it here.

    okay, so i'm trying to figure out how big of a winch to buy for a very large tow truck i am building. winches are rated based on how much they can pull. eg. a 20,000 lb winch can pull 20,000 lbs at a 0 degree incline (flat surface.)

    so if i have a vehicle that weighs 40,000 lbs, and a ramp angle of 30 degrees, and a drag coefficient of .5 (if i'm towing a disabled tracked vehicle, i'm guessing a drag coefficient as high as .5 isn't unreasonable) then how big of a winch would i need to pull this up the ramp?

    i'm looking for a formula, so i can change the values of my variables: weight of vehicle, drag coefficient of vehicle, winch size, angle of ramp.
  2. jcsd
  3. Apr 13, 2010 #2
    k, i found the answer out.

    here it is:

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