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Question

A mass of 2 blank k g is whirled in a horizontal circle by means of a string at an initial speed of 5 r e v o l u t i o n s blank p e r blank m i n u t e. blankKeeping the radius constant the tension in the string is doubled. The new speed is nearly

  1. 14 blank r p m  
  2. 10 blank r p m  
  3. 2.25 blank r p m  
  4. 7 blank r p m  

The correct answer is: 7 blank r p m


    Tension in the string T equals m omega to the power of 2 end exponent r equals 4 pi to the power of 2 end exponent n to the power of 2 end exponent m r
    therefore T proportional to n to the power of 2 end exponent rightwards double arrow fraction numerator n subscript 2 end subscript over denominator n subscript 1 end subscript end fraction equals square root of fraction numerator T subscript 2 end subscript over denominator T subscript 1 end subscript end fraction end root rightwards double arrow n subscript 2 end subscript equals 5 square root of fraction numerator 2 T over denominator T end fraction end root equals 7 blank r p m

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