The arms of a Hartnell governor are of equal length. When the sleeve is in the mid- position, the masses rotate in a circle with a diameter of 150 mm (the arms are vertical in the mid-position). Neglecting friction, the equilibrium speed for this position is 360 rpm. Maximum variation of speed, taking friction into account, is to be 6% of the mid- position speed for a maximum sleeve movement of 30 mm. The sleeve mass is 5 kg and the friction at the sleeve is 35 N. Assuming that the power of the governor is sufficient to overcome the friction by 1% change of speed on each side of the mid-position, find (neglecting obliquity effect of arms), the (i) mass of each rotating ball (ii) spring stiffness (iii) initial compression of the spring
The arms of a Hartnell governor are of equal length. When the sleeve is in the mid- position, the masses rotate in a circle with a diameter of 150 mm (the arms are vertical in the mid-position). Neglecting friction, the equilibrium speed for this position is 360 rpm. Maximum variation of speed, taking friction into account, is to be 6% of the mid- position speed for a maximum sleeve movement of 30 mm. The sleeve mass is 5 kg and the friction at the sleeve is 35 N. Assuming that the power of the governor is sufficient to overcome the friction by 1% change of speed on each side of the mid-position, find (neglecting obliquity effect of arms), the (i) mass of each rotating ball (ii) spring stiffness (iii) initial compression of the spring
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:The arms of a Hartnell
governor are of equal length.
When the sleeve is in the mid-
position, the masses rotate in
a circle with a diameter of 150 mm (the arms
are vertical in the mid-position). Neglecting
friction, the equilibrium speed for this position
is 360 rpm. Maximum variation of speed, taking
friction into account, is to be 6% of the mid-
position speed for a maximum sleeve movement
of 30 mm. The sleeve mass is 5 kg and the friction
at the sleeve is 35 N.
Assuming that the power of the governor is
sufficient to overcome the friction by 1% change
of speed on each side of the mid-position, find
(neglecting obliquity effect of arms), the
(i) mass of each rotating ball
(ii) spring stiffness
(iii) initial compression of the spring
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