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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The figure shows a schematic representation of a gear system. The gears are meshed with one
another and can therefore not slip. The ring gear R is fixed, i.e. wR = 0. Gear A has an inner hub
with radius rA(inner) = 0.3 m which is fixed to the rest of the gear, having a radius of FAlouter) = 0.8
m, and moves together as a unit. Gear A is in mesh with gear B which has a diameter of de = 1.5
m. Gear B has a clockwise angular velocity of wg = 2.1 rad/s. Determine the angular speed of gear
A.
B
TA(outer
R
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
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_forwardFigure 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 AXLEarrow_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_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_forward
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