Question

For the same height, link lengths, mass of sleeve and equilibrium speed, the mass of Proell as compared to Porter governor is

• A. same
• B. more
• C. less
• D. cannot be predicted

Answer 1

The correct option is C less


$\frac{w}{g}.CD.{\omega }^2.BD=\frac{W}{2}.IB+W.IE$

$w(\frac{CD.BD.{\omega }^2}{g}-IE)=\frac{W}{2}.IB$

$w_{Proell}=\frac{\frac{W}{2}.IB}{(\frac{CD.BD.{\omega }^2}{g}-IE)}$


$\frac{w}{g}.CD.{\omega }^2.BD=\frac{W}{2}IB+W.IE$

$w_{porter}=\frac{\frac{W}{2}IB}{\frac{CD.BD.{\omega }^2}{g}-IE}$

Clearly $(CD{)}_{proell}>(CD{)}_{porter}$

$(BD{)}_{proell}>(BD{)}_{porter}$

$(IE{)}_{proell}>(IE{)}_{porter}$

and $(IB{)}_{proell}>(IB{)}_{porter}$

$\therefore w_{proell}<w_{porter}$