Physics-
General
Easy

Question

What should be the angular velocity of earth so that a body on its equator is weightless?

  1. fraction numerator 1 over denominator 8000 end fraction rad s to the power of negative 1 end exponent  
  2. fraction numerator 1 over denominator 8 end fraction r a d blank s to the power of negative 1 end exponent  
  3. fraction numerator 1 over denominator 800 end fraction r a d blank s to the power of negative 1 end exponent  
  4. fraction numerator 1 over denominator 80 end fraction r a d blank s to the power of negative 1 end exponent  

The correct answer is: fraction numerator 1 over denominator 800 end fraction r a d blank s to the power of negative 1 end exponent


    For weightlessness state of a body on equator
    m g equals m R omega to the power of 2 end exponent
    or omega equals square root of fraction numerator g over denominator R end fraction end root equals square root of fraction numerator 10 over denominator 6400 cross times 100 end fraction end root equals fraction numerator 1 over denominator 800 end fraction rads to the power of negative 1 end exponent

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