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: UCM - Derive speed, of a body moving, radius r, and the frequency f.

  1. Mar 17, 2012 #1
    1. The problem statement, all variables and given/known data
    Derive a relationship between the speed v, of a body moving in a circle of radius r, and the frequency f, of the revolutions.

    2. Relevant equations

    3. The attempt at a solution

    Well, I thought this would be as simple as solving for F in the second equations and substituting into the original formula.




    Is the above correct? Could I expand it into more steps, like how one would derive F = 1/T, I already know how to derive v=2πr/T.

  2. jcsd
  3. Mar 17, 2012 #2


    User Avatar
    Homework Helper

    Does not the T = 1/f follow from the way they are defined?

    Centripetal acceleration is given alternately by mv2/R or 4∏2R/T2 which means 4∏2Rf2
    by equating the first and last form I think the answer falls out.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook