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Math Help - Angular Speed...

  1. #1
    Junior Member
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    Exclamation Angular Speed...

    The Question is kind of Simple. "Find the angular speed of a point on the Earth's surface". That is all that is given, assuming the the radius is 6400km. How do I set this up???
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  2. #2
    MHF Contributor arbolis's Avatar
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    Teyateyaneng
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    Ok. Sorry for my last post, it was bad.
    In one day (24 hours), the Earth has done a revolution, that is if you were on its surface, you would have done 2\pi r kilometers.
    It's angular speed is \frac{2\pi rad}{24 hours}. You realize that the angular speed of Earth is independent of the radius, so the radius they gave you doesn't matter.
    Now just convert the answer into \frac{rad}{s}.

    EDIT: You set up this by thinking like that : I consider the Earth as a circle (to simplificate a lot). Compare it with the unit circle and the angles in radian. You know that 2\pi radian is the whole circle, that is an angle of 360. You also know that the Earth will turn this angle in about 24 hours.
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