The ratio of the height of a Porter governor (when the length of

The ratio of the height of a Porter governor (when the length of
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The ratio of the height of a Porter governor (when the length of arms and links are equal) to the height of a Watt’s governor is

​where m = Mass of the ball, and M = Mass of the load on the sleeve.

A. <span class="math-tex">\(\frac{m}{{m + M}}\)</span>

B. <span class="math-tex">\(\frac{M}{{m + M}}\)</span>

C. <span class="math-tex">\(\frac{{m + M}}{M}\)</span>

D. <span class="math-tex">\(\frac{{m + M}}{m}\)</span>

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Concept:

The Porter governor is a modification of a Watt’s governor, with a central load attached to the sleeve.

For porter governor (When the length of arms is equal to the length of links):

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

For Watt Governor:

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

The ratio of the height of a Porter governor (when the length of arms and links are equal) to the height of a Watt’s governor is \(\frac{{m + M}}{m}\)