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Math Help - Angular Speed.....

  1. #1
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    Post Angular Speed.....

    Find the angular speed of a point on the earth surface. That is all that is given, assume that Radius is 6400km. how do I set this up.
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  2. #2
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    angular velocity is the same for all points on the earth except the poles.

    \omega = \frac{1 \, revolution}{day}
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  3. #3
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    Hello, Brndo4u!

    There is either too much information or insufficient information.


    Find the angular speed of a point on the Earth's surface.
    Assume that radius of the Earth is 6400 km.

    Every point on the Earth, except the two poles, turns though 360 every 24 hours.

    . . Hence, the point moves: . \frac{360}{24} \:=\:15\text{ degrees per hour.}

    And the radius of the Earth is irrelevant.



    If the speed is to be in kilometers per hour,
    . . we should have been given the latitude of the point.

    Assuming that point is on the Equator,
    . . the circumference is: . 2\pi\cdot6400 \:\approx\:40,\!212.4 km.

    Then the point moves at: . \frac{40,\!212.4}{24} \:\approx\:1675.5 km/hr.

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