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Average Angular Velocity of the Earth?

  1. Nov 4, 2009 #1
    1. The earth spins on its axis once a day and orbits the sun once a year (365.24 days). Take the positive direction for the angular displacement to be the direction of the earth's motion. Express your answers in radians/second.



    2. Wavg = Delta Theta / Delta Time
    Delta Theta is in radians



    3. Since the Earth rotates once during a day, the delta theta equals 2 Pi radians.
    Time = 60 seconds (in a minute) * 60 minutes (in an hour) * 24 hours (in a day) = 84600 seconds.
    2 Pi radians / 84600 seconds = 7.27 * 10^-5 rads/sec

    Appartenly this is wrong accoring to the homework program WebAssign. What is wrong with my work?

    Also, I got 1.99 * 10^-7 rad/sec for the angular velocity of the earth around the sun, which is apparently also wrong.

    Help?
     
    Last edited: Nov 4, 2009
  2. jcsd
  3. Nov 5, 2009 #2

    Redbelly98

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    Rotation in 1 day is not exactly 2π, since in that time the Earth has moved along 1/365.24 of it's orbit.
     
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