The height of Watt’s governor is proportional to

(where N : rpm of balls)

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UKPSC JE Mechanical 2013 Official Paper I
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  1. N
  2. N2
  3. \(\frac{1}{N}\)
  4. \(\frac{1}{N^2}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{N^2}\)
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Detailed Solution

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Concept: 

The height of a Watt governor is given by

\(h = \frac{{895}}{{{N^2}}}\;m\)

\(h \propto \frac{{1}}{{{N^2}}}\;m\)

N is revolution per minute

Additional Information

Height of a porter governor is given by,

Gov2

\({N^2} = \frac{{895}}{h}\left( {\frac{{\left( {2mg + \left( {Mg \pm f} \right)\left( {1 + k} \right)} \right)}}{{2mg}}} \right)\)

Here \(k = \frac{{tan\beta }}{{tan\theta }}\)

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