Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Angular Velocity of a centrifuge

  1. Mar 24, 2005 #1
    An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10.5 m and, in starting, rotates according to Θ(theta) = 0.13t^2, where t in seconds gives Θ in radians. When t = 5.0 s, what are the astronaut's angular velocity?
    What is the astronauts linear speed?
    What is the astronauts tangential acceleration (magnitude only)?
    What is the astronauts radial acceleration (magnitude only)?
  2. jcsd
  3. Mar 24, 2005 #2
    By deriving:

    [tex] \theta(t) = .13t^2 [/tex] <-- Position Function
    [tex] \omega(t) = .26t [/tex] <-- Velocity Function
    [tex] \alpha(t) = .26 [/tex] <-- Acceleration Function

    Find the angular accelerations and speeds, then think of a relationship between the angular accel/speed and linear accel/speed using the given informaiton.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook