Question.03In a Hartnell governor, Figure Q3, the length of the ball is 190 mm, that of the sleevearm is 140 mm, and the mass of each ball is 3.2 kg. The distance of the pivot of eachbell-crank lever from the axis of rotation is 170 mm, and the speed when the ball isvertical is 320 rev/min. The speed is to increase 0.6 percent for a lift of 12 mm of thesleeve.(a) Neglecting the dead load on the sleeve, find the necessary stiffness of thespring and the required initial compression.(b) What spring stiffness and initial compression would be required if the speed isto remain the same for the changed position of the sleeve (ie. the governor isto be isochronous).F190mm140mm+170mm-Figure Q3LARAAAAAAAg Example C04.03r= 0-17 m:. P,= 0-0804 × 300² × 0-17= 1230 NAt 300 rev/min,QuestionIn a Hartnell governor, the length of the ball is 190 mm, that of the sleeve arm is 140mm, and the mass of each ball is 2.7 kg. The distance of the pivot of each bell-cranklever from the axis of rotation is 170 mm, and the speed when the ball is vertical is 300rev/min. The speed is to increase 0.6 percent for a lift of 12 mm of the sleeve.For a 0-6 per cent increase in speed, N= 301-8 rev/min0-19r = 0-17 + 0-012 ×0-14and= 0-1863 m(a) Neglecting the dead load on the sleeve, find the necessary stiffness of the springand the required initial compression.(b) What spring stiffness and initial compression would be required if the speed isto remain the same for the changed position of the sleeve (i.e. the governor is to:. at 301-8 řev/min,P2= 0-0804 x 301-8² × 0-1863= 1364 NР, — Р,compression of springi spring stiffness =be isochronous).1364 – 12300-012= 11 160 N/mSolutionInitial compressioninitial spring forcestiffness12300-11 m11 160190mm(b)For isochronism, the equilibrium speed remains constant for all radiiof rotation. If P, and P, are the spring forces for isochronism correspond-ing to radii of rotation of 0-17 m and 0-1863 m respectively,140mm170mmthenP= 0-0804 x 300 × 0-17 = 1231 NFigure Q4.3andP= 0-0804 x 3002 x 0-1863 = 1349 N1349 – 1231(a): stiffness == 9830 N/m0-012Let P be the force exerted by the spring and F the centrifugal force on one ball.Then, taking moments about O, Figure Q4.3,1231Initial compression =9830= 0-1252 mFx0.19 — P/2 х 0.14Note:(27.2-7Px 0-14Isochronism means the condition of occurring at the same time as anotheri.e.X+ x 0-19 =event.:: P= 0-0804N²r

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Question.03 In a Hartnell governor, Figure Q3, the length of the ball is 190 mm, that of the sleeve arm is 140 mm, and the mass of each ball is 3.2 kg. The distance of the pivot of each bell-crank lever from the axis of rotation is 170 mm, and the speed when the ball is vertical is 320 rev/min. The speed is to increase 0.6 percent for a lift of 12 mm of the sleeve. (a) Neglecting the dead load on the sleeve, find the necessary stiffness of the spring and the required initial compression. (b) What spring stiffness and initial compression would be required if the speed is to remain the same for the changed position of the sleeve (i.e. the governor is to be isochronous). 190mm 140mm- +170mm-

Question.03 In a Hartnell governor, Figure Q3, the length of the ball is 190 mm, that of the sleeve arm is 140 mm, and the mass of each ball is 3.2 kg. The distance of the pivot of each bell-crank lever from the axis of rotation is 170 mm, and the speed when the ball is vertical is 320 rev/min. The speed is to increase 0.6 percent for a lift of 12 mm of the sleeve. (a) Neglecting the dead load on the sleeve, find the necessary stiffness of the spring and the required initial compression. (b) What spring stiffness and initial compression would be required if the speed is to remain the same for the changed position of the sleeve (i.e. the governor is to be isochronous). 190mm 140mm- +170mm-

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

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Example C04.03
r= 0-17 m
:. P,= 0-0804 × 300² × 0-17
= 1230 N
At 300 rev/min,
Question
In a Hartnell governor, the length of the ball is 190 mm, that of the sleeve arm is 140
mm, and the mass of each ball is 2.7 kg. The distance of the pivot of each bell-crank
lever from the axis of rotation is 170 mm, and the speed when the ball is vertical is 300
rev/min. The speed is to increase 0.6 percent for a lift of 12 mm of the sleeve.
For a 0-6 per cent increase in speed, N= 301-8 rev/min
0-19
r = 0-17 + 0-012 ×
0-14
and
= 0-1863 m
(a) Neglecting the dead load on the sleeve, find the necessary stiffness of the spring
and the required initial compression.
(b) What spring stiffness and initial compression would be required if the speed is
to remain the same for the changed position of the sleeve (i.e. the governor is to
:. at 301-8 řev/min,
P2= 0-0804 x 301-8² × 0-1863
= 1364 N
Р, — Р,
compression of spring
i spring stiffness =
be isochronous).
1364 – 1230
0-012
= 11 160 N/m
Solution
Initial compression
initial spring force
stiffness
1230
0-11 m
11 160
190mm
(b)
For isochronism, the equilibrium speed remains constant for all radii
of rotation. If P, and P, are the spring forces for isochronism correspond-
ing to radii of rotation of 0-17 m and 0-1863 m respectively,
140mm
170mm
then
P= 0-0804 x 300 × 0-17 = 1231 N
Figure Q4.3
and
P= 0-0804 x 3002 x 0-1863 = 1349 N
1349 – 1231
(a)
: stiffness =
= 9830 N/m
0-012
Let P be the force exerted by the spring and F the centrifugal force on one ball.
Then, taking moments about O, Figure Q4.3,
1231
Initial compression =
9830
= 0-1252 m
Fx0.19 — P/2 х 0.14
Note:
(27.
2-7
P
x 0-14
Isochronism means the condition of occurring at the same time as another
i.e.
X+ x 0-19 =
event.
:: P= 0-0804N²r

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