1. Not finding help here? Sign up for a free 30min 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!

Simple Centripetal Force Question

  1. Feb 23, 2006 #1
    Hello, I know that there are two possible formulas to solve for radius. You can use (mv^2)/r ,or, (m4pir^2)/T^2. Now, the question is asking when the radius is trippled, the Centripital force is....?

    Using the first equation, I come out with 1/3. Using the second equation, I come out with 9.

    That confuses me enough, but when I looked back on a quiz we had (sometimes I get solutions from quizs), I found that my teacher asked when radius is tripled, centripital acceleration is....? The answer was 3. Can anyone provide some insight into what I am doing wrong and what equation i should use to get my answer. Thank you in advance!!!
     
  2. jcsd
  3. Feb 23, 2006 #2

    Doc Al

    User Avatar

    Staff: Mentor

    First off, there's another useful formula for centripetal force, which I show below. Realize that they are all equivalent; the only thing that changes are is variable of choice: linear speed, angular speed, period.

    There's really not enough information given to give a sensible answer. It depends on what is being held constant. Can you give the exact question including any relevant context?

    For example: If the problem stated something like "A car races on a circular track. If the speed stays the same, what happens to the centripetal force if the radius triples?" In that case, the relevant formula is the one containing v & r ([itex]F_c = m v^2 /r[/itex]) and the answer is 1/3.

    But what if it said "If the angular speed stays the same, what happens to the centripetal force if the radius triples?" In that case, the relevant formula is the one containing [itex]\omega[/itex] & r ([itex]F_c = m \omega^2 r[/itex]) and the answer is that the force triples.
     
    Last edited: Feb 23, 2006
  4. Feb 23, 2006 #3
    The question reads exactly, if the radius were tripled, what would happen to the centripital force? The preceeding question is describe the relationship between Centripetal Force and: v, v^2, T and M. I dont think the preceeding question holds any context though. Thank you for your help!!!
     
  5. Feb 23, 2006 #4
    isn't [itex] a_c = \frac{v^2}{r} [/itex] and [itex] F = \frac{mv^2}{r} [/itex]?
     
  6. Feb 23, 2006 #5

    Doc Al

    User Avatar

    Staff: Mentor

    Of course. Oops! :redface: I'll fix my post. (Thanks.)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Simple Centripetal Force Question
Loading...