Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 8, Problem 15P
For Problems 10− 17, repeat Problem 1 for the following gears in the metric module system. Replace Part (c) with equivalent
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Students have asked these similar questions
In the epicyclic gear train shown in the given figure, P
is fixed. P has 120 teeth and Q has 30 teeth. If the arm
R makes three revolutions, the number of revolution
made by Q will be
R
The figure shows a rotating geared system. A torque of 3N is applied to an input gear in order to accelerate a flywheel at 0.1 rad/s2. The input gear has 11 teeth, and the output gear has 99 teeth. What is the flywheel's inertia?
T=3N
O
O
Input gear
11 teeth.
Output gear
99 teeth
270 kgm²
57 kgm2
2.7 kgm2
Don't Know
27 kgm2
Flywheel
0.1 rad/s²
Figure Q2-1 shows a schematic of the power train for 2012 Nissan Leaf
pure electric cars, which includes a two stage gearbox (a compound
train). The numbers of teeth of the gears in the gearbox are N1=N3=17,
N2=31 and N4=74. The motor speed at an engine power of P = 80 kW is
nmotor (n1) = 9,795 rpm.
N2=31 T
2012 LEAF Driveline from Motor to Axle:
17T
31T
N1=N3
=17 T
17T
74 T
-
Wheels
I N4=74 T
Motor
Figure Q2-1
What are the necessary and sufficient requirements for the two stage
gearbox to mesh properly for power transmission?
i)
Calculate the rotating speed (nwheel or n4) and the torque Twheel or T4
on the axle of the driven wheels. Neglect power loss of the gearbox.
ii)
nmotor(n1)=9,795 rpm in kilometre per hour? You may assume the
diameter of the wheels to be D = Ø600 mm.
What is the speed of the Nissan Leaf car when the motor speed is at
AXLE
AXLE
Chapter 8 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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- A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the chainwheel (see figure). The back half of a bicycle is given. A line labeled "Freewheel" is pointing at the center of the rear wheel. A line labeled "Chainwheel" is pointing to the center piece connecting the two pedals. The table shows the numbers of teeth in the freewheel and the chainwheel for the first five gears of an 18-speed touring bicycle. The chainwheel completes one rotation for each gear. GearNumber Number ofTeeth inFreewheel Number ofTeeth inChainwheel 1 32 24 2 26 24 3 22 24 4 32 40 5 19 24 Find the angle through which the freewheel turns for each gear. Give your answers in both degrees and radians. (Round your answers to one decimal place.) gear 1 = rad= gear 2= ° rad= gear 3= ° rad= gear 4= ° rad= gear 5= ° rad=arrow_forwardA compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and Te-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress max in the compound shaft. (b) Determine the rotation angle (c) Determine the rotation angle of flange C with respect to flange A. of gear E with respect to flange A. Answers: (a) Tmax (b) CIA (C) ΦΕΙΛ = = e 5 11.48 i -2.197 = i -2.74 B TB L2 (3) ksi. Tp TE ᾽Εarrow_forwardA compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G = 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and TE-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle CIA of flange Ćwith respect to flange A. (c) Determine the rotation angle EA of gear E with respect to flange A. Answers: (a) Tmax= (b) PCIA (c) ΦΕΙΛ Ξ A i = i (1) 5 B TB L2 (3) L3 ksi. Tp D (4) LA TE E xarrow_forward
- Figure shown below illustrates the gears in a speed-change gearbox used in machine tool applications. By sliding the cluster gears on shafts Band C, nine speed changes can be obtained as shown in Table given below. The problem of the machine tool designer is to select tooth numbers for the various gears (2 to 10) so as to produce a reasonable distribution of speeds for the output shaft. The gears 2, 6 and 9 are having 20, 25 and 50 teeth respectively. The input shaft speed is 450 rpm and the output speed can vary from 137 rpm to 580 rpm depending on the sequence of the gears. If the output speed obtained through the gear sequence 2-5-5-8 is 257 rpm and if the minimum and maximum number of teeth in the gear system are 20 and 50 respectively, (i) Suitable tooth numbers for the remaining gears (3,4,5,7,8 & 10)arrow_forwardThe motion transmitted between the teeth of gears in mesh is *arrow_forwardThe teeth of the gear arrangement have Gear A=40teeth, Gear B=70 teeth and Gear C= 50teeth, a pinion (driver Gear) that rotates at 625 rpm, and idler Gear B and a driven gear (Gear C). The gears have a module of 5mm and a pressure angle of 200. Find the pitch diameter of gear C in mm.arrow_forward
- For a pair of spur gears, one design decision is to specify the pressure angles. Please select the common values of pressure angle per textbook. 300 200 250arrow_forwardFor the gear train in a watch shown in the following figure. The teeth number are Z1=24, z2=48, Z3=20, Z4=25, z5=1, Z6=40. Please calculate speed ratio i16 4 2 亚 3,arrow_forwardThe following gear wheels are available to form a gear train. Design a compound gear train to obtain minimum velocity ratio using five shafts, where driver and driven shaft axes should be parallel to each other. Sketch the arrangement and also list down the conditions used to get minimum velocity ratio. Gear Туре Spur Module (mm) No. of teeth A 90 B Bevel 80 Spur 80 D Bevel 4 24 E Spur Bevel 20 F 4 30 Helical 3 76 H Bevel 4 70 Helical 3 30 J Helical 3 24 K Spur 100 Helical 70 23arrow_forward
- 1. The transmission ratio of two meshing spur gears i12=2.5, center distance a =154mm, module m=4mm. Calculate the diameter of reference circles and the diameter of addendum circles of two gears.arrow_forwardIn the figure below, Gears B and C represent a compound gear and have the following details. The input Torque is 42Nm and the gear system has an efficiency of 72%. If Gear A rotates clockwise at 2400 revs/minute (gear D has been worked out as rotating 24000 revs/minute) calculate the output power and fixing torque.arrow_forwardThe figure below shows the power transmitted through a gear drive to multiple output shafts. Gear A is mounted on an electric motor with a rotational speed of 600rpm. Gear A drives a simple gear train consisting in gears B, C, D, and E and transfers the input power to each gear to the shaft on which is mounted. The power delivered from shafts B, C, D, and E are: 8hp, 12hp, 5hp, and 5hp, respectively. For simplicity, all gears have a diametral pitch of 3 and the following numbers of teeth: NA=75, NB=15, NC=120, ND=15, NE=36. The torque on shaft D is most likely: 2015 lb in 105 lb in 250 lb in 630 lb inarrow_forward
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