(Homework's) QI/ Two shafts which are 300 mm apart are to be connected by spur gearing. The driving shaft rotates at 1400 rpm and the driven is to be rotate at an approximate speed of 400 rpm If the moduke pitch of the gears is 8 mm, determine the number of teeth on the gears and the actual speed of the driven shaft. Assume that the gears availabk are of teeth rising in steps of 3 and the smalest gear dose not has teeth kess than 15. Q2/ Find the pitch diameter, diametral pitch and module of a toothed gear having 36 teeth and circular pitch of 13 mm OV Tuo uhaal f18 and 45 teath ra gannad tomather Datarmino the tun

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter14: Numerical Methods
Section14.3: Refinements To The Bisection Method
Problem 3E
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(Homework's)
Q1/ Two shafts which are 300 mm apart are to be connected by spur gearing. The driving shaft rotates at
1400 rpm and the driven is to be rotate at an approximate speed of 400 rpm If the moduke pitch of the
gears is 8 mm, determine the number of teeth on the gears and the actual speed of the driven shaft. Assume
that the gears available are of teeth rising in steps of 3 and the smallest gear dose not has teeth kess than 15.
Q2/ Find the pitch diameter, diametral pitch and module of a toothed gear having 36 teeth and circular pitch of
13 mm.
Q3/ Two wheels of 18 and 45 teeth respective ly are geared together. Determine the pitch circke radius of the two
wheeks, if the circular pitch is 50 cm.
Q4/ In a compound train of gears spur gear 1, with 40 teeth and rotating at 15 rpm, drives a pinion 6 with 15
teeth at 300 rpm across two intermediate spindles. The first intermediate has gears 2 and 3 and the second
carries gears 4 and 5. Gear 2 gearing with gear 1 while 3 gearing with gear 4 and 5 gearing with gear 6. If
gears 2, 4 and 5 have 20, 15 and 30 teeth respective ly, calculate the number of teeth on gear 3.
(7-10)
Q5/ An epicyclic gear train shown gear B has 80 teeth and is rigidly fixed
to the motor shaft. Gear C has 16 teeth and gears with B and also
with gear D which has 20 teeth. The arm rotates about the same shaft
on which B is fixed and carries gear C and D. If the arm runs at 1000
rpm, find the speed of gear C and D.
and B are intemal gears and the gear
Q6/ An epicyclic gear train shown, the gears
C-D is a compound gear. The gears E and F have the same pitch and number of
teeth (T, = T; = 18). T. = 28 and Ta = 26. (1) Find the number of teeth on A and
B; (2) If the arm G makes 100 rpm clockwise and A is fixed, find the speed of
B; and (3) If the arm G makes 100 rpm clockwise and wheel A makes 10 rpm
counter clockwise ; find the speed of wheel B. (Note A and B not a compound
gears)
Q7/ An epicyclic train of gear as shown in figure, how many revolution does the
arm, to which the pinions B and C are attached, make: (a) When A makes
one revolution clockwise and D makes half
and (b) When A makes one revolution clockwise and D is fixed. The
number of teeth in the gear A and D are 40 and 90 respectively.
revolution anticlockwise,
Q8/ An epicycic reduction gear shown in figure, has a shaftA fixed to
arm. The arm has a pin fixed to its outer end and two gears C and E
which are rigidly fixed (C-E compound gear) revolve on this pin.
Gear C meshes with annukar gear D and gear E with pinion F. G is
the driver gear and D is kept stationary. The number of the teeth is as-
follows: Tp = 80, Te =10, TE = 24 and Tp = 10. The gear G runs at
200 rpm, find the speed of shaft A.
Q9/ An epicyclic train as shown in figure below is composed of a fixed annular
wheel A having 150 teeth. Meshing with A is a wheel B which drives wheel
D through an idle wheel C, D being concentric with A. Wheek B and C are
carried on an arm which revolves clockwise at 100 rpm about the axis of A
or D. If the wheels B and D are having 25 teeth and 40 teeth respectively,
find the number of teeth of C and the speed and direction of rotation of C.
Q10/ An epicycic gear train shown in figure, the arm is keyed to the same shaft as the
load drum and the wheel A is keyed to the second shaft which carries a chain wheel,
the chain being operated by hand. The two shafts have common axis but can rotate
independently. The wheek B and C are compound and rotate together on a pin
carried at the end of arm. The wheel D has internal teeth and is fixed to the outer
casing of the block so it does not rotate. The wheels A and B have 16 and 36 teeth
respectively and the gears have equal module of 3 mm The speed of A is 100 rpm
when the speed of arm is 10 rpm. Find the number of teeth on wheels C and D.
(8-10)
Transcribed Image Text:(Homework's) Q1/ Two shafts which are 300 mm apart are to be connected by spur gearing. The driving shaft rotates at 1400 rpm and the driven is to be rotate at an approximate speed of 400 rpm If the moduke pitch of the gears is 8 mm, determine the number of teeth on the gears and the actual speed of the driven shaft. Assume that the gears available are of teeth rising in steps of 3 and the smallest gear dose not has teeth kess than 15. Q2/ Find the pitch diameter, diametral pitch and module of a toothed gear having 36 teeth and circular pitch of 13 mm. Q3/ Two wheels of 18 and 45 teeth respective ly are geared together. Determine the pitch circke radius of the two wheeks, if the circular pitch is 50 cm. Q4/ In a compound train of gears spur gear 1, with 40 teeth and rotating at 15 rpm, drives a pinion 6 with 15 teeth at 300 rpm across two intermediate spindles. The first intermediate has gears 2 and 3 and the second carries gears 4 and 5. Gear 2 gearing with gear 1 while 3 gearing with gear 4 and 5 gearing with gear 6. If gears 2, 4 and 5 have 20, 15 and 30 teeth respective ly, calculate the number of teeth on gear 3. (7-10) Q5/ An epicyclic gear train shown gear B has 80 teeth and is rigidly fixed to the motor shaft. Gear C has 16 teeth and gears with B and also with gear D which has 20 teeth. The arm rotates about the same shaft on which B is fixed and carries gear C and D. If the arm runs at 1000 rpm, find the speed of gear C and D. and B are intemal gears and the gear Q6/ An epicyclic gear train shown, the gears C-D is a compound gear. The gears E and F have the same pitch and number of teeth (T, = T; = 18). T. = 28 and Ta = 26. (1) Find the number of teeth on A and B; (2) If the arm G makes 100 rpm clockwise and A is fixed, find the speed of B; and (3) If the arm G makes 100 rpm clockwise and wheel A makes 10 rpm counter clockwise ; find the speed of wheel B. (Note A and B not a compound gears) Q7/ An epicyclic train of gear as shown in figure, how many revolution does the arm, to which the pinions B and C are attached, make: (a) When A makes one revolution clockwise and D makes half and (b) When A makes one revolution clockwise and D is fixed. The number of teeth in the gear A and D are 40 and 90 respectively. revolution anticlockwise, Q8/ An epicycic reduction gear shown in figure, has a shaftA fixed to arm. The arm has a pin fixed to its outer end and two gears C and E which are rigidly fixed (C-E compound gear) revolve on this pin. Gear C meshes with annukar gear D and gear E with pinion F. G is the driver gear and D is kept stationary. The number of the teeth is as- follows: Tp = 80, Te =10, TE = 24 and Tp = 10. The gear G runs at 200 rpm, find the speed of shaft A. Q9/ An epicyclic train as shown in figure below is composed of a fixed annular wheel A having 150 teeth. Meshing with A is a wheel B which drives wheel D through an idle wheel C, D being concentric with A. Wheek B and C are carried on an arm which revolves clockwise at 100 rpm about the axis of A or D. If the wheels B and D are having 25 teeth and 40 teeth respectively, find the number of teeth of C and the speed and direction of rotation of C. Q10/ An epicycic gear train shown in figure, the arm is keyed to the same shaft as the load drum and the wheel A is keyed to the second shaft which carries a chain wheel, the chain being operated by hand. The two shafts have common axis but can rotate independently. The wheek B and C are compound and rotate together on a pin carried at the end of arm. The wheel D has internal teeth and is fixed to the outer casing of the block so it does not rotate. The wheels A and B have 16 and 36 teeth respectively and the gears have equal module of 3 mm The speed of A is 100 rpm when the speed of arm is 10 rpm. Find the number of teeth on wheels C and D. (8-10)
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