physics
mechanics
Easy

Question

The mean radius of the earth is R, its angular speed on its own axis is omega and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geo-stationary satellite will be

  1. R squared g divided by omega ∣
  2. R squared omega squared divided by g
  3. Rg invisible function application divided by omega squaredR squared g divided by omega squared

The correct answer is: Rg invisible function application divided by omega squaredR squared g divided by omega squared


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell T equals fraction numerator 2 pi r to the power of 3 divided by 2 end exponent over denominator square root of G M end root end fraction end cell row cell not stretchy rightwards double arrow r cubed equals fraction numerator T squared G M over denominator 4 pi squared end fraction equals fraction numerator R squared g over denominator omega squared end fraction end cell end table

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