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!

Did I solve this right?

  1. Jan 19, 2009 #1
    Here's the equation.
    [tex]\frac{mv^{2}}{r}=\frac{mg+C_{a}v^{2}cos\vartheta}{cos\vartheta-\mu sin\vartheta}\left(\mu cos\vartheta+sin\theta\right)-C_{a}v^{2}sin\vartheta[/tex]
    After trying to solve for v, I got this:
    [tex]v=\sqrt{\frac{mg\mu cos\vartheta+mg sin\vartheta}{-2\mu C_{a}cos\vartheta-2\mu C_{a}sin\vartheta+\frac{mcos\vartheta-\mu msin\vartheta}{r}}}[/tex]
    I'm not sure if this is correct though. I never took trig, so all the sin's and cos's confuse me, and I'm not exactly sure how to perform algebra on them.
  2. jcsd
  3. Jan 19, 2009 #2


    User Avatar
    Science Advisor

    I haven't checked your result. However, solving for v doesn't require knowing trig. Just put all the v2 on one side of the equation, and put all the other terms on the other side. Then divide by the coefficent of v2 and take the square root.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook