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If the spinning speed of the earth increases, then the weight of the body at the equator will
  • a)
    decrease
  • b)
    remain same
  • c)
    be doubled
  • d)
    increase
  • e)
    None of the above/More than one of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the spinning speed of the earth increases, then the weight of the b...
The correct answer is decrease.
Key Points
  • If the earth is not spinning, the weight of the body has been mg. the earth rotating around its polar axis will make the body under circular motion too. Suppose the object is present at an angle ϕ with the polar axis, then the distance (radius) from the axis is Rsinϕ. The centripetal force is given by mv2ror, if the object is at a distance r from the axis. Therefore, we may write
  • mg′=mg−mω2Rsinϕ
  • cancelling the m, we get
  • g′=g−ω2Rsinϕ
  • In the question it has been asked to find what happens to the g when our object is at equator. So, we are given ϕ=900
  • This clearly helps us see that the object at the equator will have g’ that is smaller than the actual g.
  • Therefore, the correct answer is (1), The weight of the body decreases.
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If the spinning speed of the earth increases, then the weight of the body at the equator willa)decreaseb)remain samec)be doubledd)increasee)None of the above/More than one of the aboveCorrect answer is option 'A'. Can you explain this answer?
Question Description
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