1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Deriving a Uniform Circular Motion Equation

  1. Apr 1, 2008 #1
    Derive the following equation: (mV^2/r)cos(x) = mgsin(x)

    I don't know how you would exactly derive the equation but you can simplify it to:

    tan(x)mg = mV^2 /r

    You can also divide by the m and get tan(x)g = V^2/r ...

    Any help is appreciated.
  2. jcsd
  3. Apr 1, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Hi ethanh! :smile:

    hmm … doesn't look right to me … :confused:

    Can you show us the whole question? :smile:
  4. Apr 1, 2008 #3
    The teacher just said to derive the equation using Circular Motion Equations,Newton's 2nd Law, etc.

    The equation is:

  5. Apr 1, 2008 #4
    The only place where I can see you deriving this from is from a banked curve question, so think about the forces acting there.
  6. Apr 2, 2008 #5


    User Avatar
    Science Advisor
    Homework Helper

    … draw a diagram … !

    Yeah … Snazzy's right (and I was being dense). :redface:

    Thanks Snazzy! :smile:

    It's a horizontal circle, banked like a cycle track.

    ok, draw a diagram of just one bit of the track, and draw in the two forces and the acceleration (so that's three arrows … and give each one a letter, of course), and the angle.

    Do you know the values of any of these forces or acceleration (without any theta)? :smile:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook