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!

Artificial Gravity and a Rotating Space Station

  1. May 31, 2009 #1
    lakjdlkasdlkas
     
    Last edited: May 31, 2009
  2. jcsd
  3. May 31, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor


    This can be modeled with the equations [/itex]x= 500 cos(\omega t)[/itex], [itex]y= 500 sin(\omega t)[/itex] where [itex]\omega[/itex] is the angular velocity. Differentiating to get the velocity, [itex]v_x= -500\omega sin(\omega t)[/itex], [itex]v_y= 500\omega sin(\omega t)[/itex]. The acceleration is the derivative of that, [itex]a_x= -500 \omega^2 cos(\omega t)[/itex], [itex]a_y= -500 \omega^2 sin(\omega t)[/itex]. The magnitude of the acceleration is [itex]\sqrt{(-500 \omega^2 cos^2(\omega t))^2+ (500 \omega^2sin^2(\omega t)}[/itex][itex]= 500\omega^2[/itex] and that must be equal to the gravity of earth, 9.81 m/s2. Set them equal and solve for [itex]\omega[/itex]. To find the diameter at which to set the inner ring, go back to the original equation with that value for
    [itex]\omega[/itex], a variable, r, in place of the 500, do the same calculations, set equal to the gravitational acceleration on mars and solve for r.

     
  4. May 31, 2009 #3

    nrqed

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member



    I woudl make a free body diagram of a person standing on the space station. There is only one force acting on the person. for a person to feel as if they were on Earth, that force must be equal to mg. Now use Newton's second law, so you get mg = ma.
    For the acceleration, use the formula for centripetal acceleration. You will then find the speed easily
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Artificial Gravity and a Rotating Space Station
  1. Rotating Space Station (Replies: 4)

Loading...