Chapter 8, Problem 16P

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=

Abanoub Gendy-gear_ret o_wcrksheet.pdf Gear Ratio Worksheet Directions: Find the gear ratio of each pair of gears. Make sure to pay attention to the driver and follower. The arrow points to the driver. Simplify all ratios and show all work. 1. 8 32 GR = 6. 40 64 GR =

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)

Gear 1 has a module of 2 and 26 teeth. This gear drives Gear 2 whose speed is 271.0 rpm. The shaft centre distance is 264 mm. What is the rotational speed (rpm) of Gear 1? Use 3 decimal places in your calculations. Supplementary Information Gears Formulae Diametral Pitch P = N/d module m = d/N p =nd/N=Tm WL-WArm e' Wf - WArm Product of the driving tooth numbers] 土 Product of the driven tooth numbers %3D Nr +1 N, Wsun Warm Standard Tooth Sizes and Systems for gears Diametral Pitch Coarse Fine Modules 2, 21/2, 21/2, 3, 4, 6, 8, 10, 12, 16 20, 24, 32, 40, 48, 64, 80, 96, 120, 150, 200 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 16, 20, 25, 32, 40, 50 Preferred Next Choice 1.125, 1.375, 1.75, 2.25, 2.75, 3.5, 4.5, 5.5, 7, 9, 11. 14. 18. 22, 28, 36, 45 Dedendum b 1.25/Pa or 1.25m Addendum a Tooth System Full depth Pressure Angle Ø deg. 20 I/Pa or m 22v2 1/Pa or m 1.25/P or 1.25m 25 1/P or m 1.25/Pa or 1.25m Stub 20 0.8/P or 0.8m 1/P or m Answer: oロ C Search for anything

The 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 23

A pair of gear/pinion of 42 tooth and 18 tooth with a diametral pitch of 0.7874 teeth/cm and the addendum is 0.8/p and dedendum 1/p. The gear pressure angle is 200 . Compute the center distance of the pair of gears in meters.

The 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.

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     250

In 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.