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!

Puzzling relationship

  1. Nov 25, 2006 #1
    Still not sure if I understand this:

    ac= v^2/r

    YET

    ac=4pi^2R/T^2

    so what is the relationship between radius and centripetal acceleration??? direct or inverse?? everyone tells me differently
     
  2. jcsd
  3. Nov 25, 2006 #2

    Kurdt

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    the second expression comes from the fact that [tex] v=r\omega[/tex] and [tex] \omega= \frac{2\pi}{T} [/tex]. therefore technically the first expression contains more radius expressions that are hidden within other terms.
     
  4. Nov 25, 2006 #3
    Inverse. Centripetal acceleration is larger for either greater velocity or smaller radius. Don't concern yourself so much with equations and just picture a mass on the end of a string. When that string is smaller the velocity is going to be larger, and so the inward accerelertion (the centripetal accerlation) will have to be larger too.
     
  5. Nov 25, 2006 #4

    Kurdt

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Well its both really but in different contexts. The first equation relates accelration to radius and LINEAR velocity while the second relates acceleration to the radius and ANGULAR velocity and thus there is no conflict.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Puzzling relationship
  1. Still Puzzling (Replies: 1)

  2. Math puzzle. (Replies: 7)

  3. Light puzzle (Replies: 9)

  4. Projectile Puzzle (Replies: 4)

  5. Electrostastics puzzle (Replies: 4)

Loading...