What is Gear: Definition and 400 Discussions

A gear is a rotating circular machine part having cut teeth or, in the case of a cogwheel or gearwheel, inserted teeth (called cogs), which mesh with another toothed part to transmit torque. A gear may also be known informally as a cog. Geared devices can change the speed, torque, and direction of a power source. Gears of different sizes produce a change in torque, creating a mechanical advantage, through their gear ratio, and thus may be considered a simple machine. The rotational speeds, and the torques, of two meshing gears differ in proportion to their diameters. The teeth on the two meshing gears all have the same shape.Two or more meshing gears, working in a sequence, are called a gear train or a transmission. The gears in a transmission are analogous to the wheels in a crossed, belt pulley system. An advantage of gears is that the teeth of a gear prevent slippage. In transmissions with multiple gear ratios—such as bicycles, motorcycles, and cars—the term "gear" (e.g., "first gear") refers to a gear ratio rather than an actual physical gear. The term describes similar devices, even when the gear ratio is continuous rather than discrete, or when the device does not actually contain gears, as in a continuously variable transmission.Furthermore, a gear can mesh with a linear toothed part, called a rack, producing translation instead of rotation.

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  1. D

    What SI Gear Standards Do You Use?

    I am an American author, working on a revision for my Theory of Machines textbook. In the past, I used only US Customary units, but now see a need to introduce SI units. This is particularly a problem with regard to gear standards. An internet search shows that there are dozens of SI-based gear...
  2. EastWindBreaks

    Minimum number of teeth given the gear train ratio?

    Homework Statement Homework EquationsThe Attempt at a Solution for this class, we were not taught with contact ratio equations, nor the pressure angle is given, so for this type of problems, do we just assume that minimum number of teeth on a pinion will be 12? 3 integer factors of 180 can...
  3. EastWindBreaks

    Simple Gear Train: Pitch Circle Diameter and Typo in Homework

    Homework Statement Homework EquationsThe Attempt at a Solution if you do 38*25/pi , you would get 302.394 for the exact pitch circle diameter, similarly, exact d2 should be 907.183 mm, is it a typo? or did I miss something?
  4. K

    Find the angular speed of the smaller gear

    1.Why does the angular speed of small gear depend only on larger gear only? 2.Why does the length of linkage connecting two gears does not have any influence on the angular speed of smaller gear? The first question can be answered by looking at slack and tightening of chain caused by rotation...
  5. I

    Automotive Compound Epicyclical gear system

    Trying to calculate how to produce a 1:12 ratio gear train with epicyclical gears. Can anyone send some equations or links to help explain how to do this? I have looked in textbooks and online and found many examples of achieving this with a simple compound spur gear train with 3 or less stages...
  6. yavorh

    Mass moment of inertia of an airplane about its main gear

    Homework Statement Okay, so this isn't so much a problem as a design issue while following an example given in a book. (Relevant material is here: http://www.aero.us.es/adesign/Slides/Extra/Stability/Design_Control_Surface/Chapter%2012.%20Desig%20of%20Control%20Surfaces%20(Elevator).pdf ) Now...
  7. F

    Automotive Car Differential - spider gear

    Hello, I need a quick clarification on how the differential works. I understand its purpose and how it operates but I am not sure how, when a car is turning, the spider gear starts spinning to provide the outer wheel with a higher angular velocity? Is it simply because the outer wheel starts to...
  8. O

    Selecting the Right Gearbox for Rotating a 500kg Engine Manually | Expert Advice

    Hi guys badly needed your help, i need to rotate the engine assy. with a mass of 500 kg using a steering wheel so i need to define what is the right gearbox, please be noted that it will be manually rotated by a person see attached drawing for your reference I'm hoping for your quick...
  9. M

    Question about calculation of planetary gear ratios

    So I've found the following formula for calculating the gear ratio of a planetary gear. Tr Turns of the ring gear Ts Turns of the sun gear Ty Turns of the planetary gear carrier R Ring gear teeth S Sun gear teeth P Planet gear teeth ( R + S ) ×Ty = R × Tr + Ts × S The example I saw on the same...
  10. A

    Lock Gears Without Motor Power: Tips & Tricks

    SO, here is the case guys. I have a mechanism to turn plate by a motor. Both motor and plate was connected through 2 spur gears. But here is the problem, when wind strike the plate, the plate start to rotate even without the power of the motor. What is the best way so i can prevent the plate...
  11. V

    Calculating force: pulley and gear on the same axle / shaft

    Dear Forum, Please see the attached file below. I have trouble understanding what happens at the light green gear which drives the big brown one. I read somewhere that the force that the belt applies on the surfaces of the two pulley's is the same, so 353, 68 Nm. The torque and rpm on both...
  12. deuel18

    Difference in power transfer with gear location

    I'd like to know if there's a power transfer loss depending on how gears are connected and placed relative to each other. For the two distinct image down below, imagine ALL GEARS HAVE EXACTLY THE SAME DIAMETERS and the setup is such that the viewers are seeing the top (aerial view) and the gears...
  13. S

    Ability to backdrive a gear reducer

    How can I determine if a single worm gear reducer will backdrive? The gearbox has a 15:1 ratio which has around 90 percent efficiency. The gearboxes output shaft also turns a pair of sprockets that creates a 3:1 ratio. This in turns 8" inch diameter steel wheel on a 28000lb trolley, that rides...
  14. M

    B What is the formula for calculating RPM of a gear with a known force?

    Hey guys I do apologize in advance for any errors or misunderstandings in my question, been that english is not my native language. I was wondering how to calculate the RPM of a gear (or a wheel) applied with a known force. I'm guessing I'm not using the correct terminologies using Google...
  15. L

    Simple gear pair: efficiency and output torque

    Hi. I have a question about output torque and efficiency of a simple gear pair as shown on the picture. So, I have a pinion and a gear. I give an input torque Tp in the clockwise direction. Therefore, the pinion will rotate with ωp angular velocity in clockwise and the gear ωg in...
  16. I

    Calculating the load on planetary gear from driving torque

    Hello, I am very new to gears I am fairly confused about planetary gears. I want to know the load on the gears contact point between the sun and the planets and the planets and the ring, assuming the ring not moving. Given I have the solid works file ,the pressure angle, and the gear ratios, I...
  17. F

    Find the gear ratio for maximum angular acceleration

    Homework Statement A constant torque is applied to a pinion which has a moment of inertia of I_m. The pinion(A) drives two gears, one (B) which is connected to a mass which has a moment of inertia = I_m and the other(C) is connected to a mass which has a moment of inertia = 2I_m. The gear...
  18. D

    How to attach a gear to a static shaft?

    Homework Statement A shaft is being used as a cantilever and is held in the housing by its fit. It is to remain static whilst a gear is attached to the free end, how to you retain the gear on the free end of the shaft? Sketch a suitable method Homework Equations n/a The Attempt at a Solution...
  19. L

    Sprockets, chains, and gears question

    hello. I'm tring to find a compatible sprocket for my chain. I need to know what these abbreviations mean here: http://www.ebay.com/sch/i.html?_odkw=sprocket+40&_sop=15&_osacat=0&_from=R40&_trksid=p2045573.m570.l1313.TR0.TRC0.H0.Xsprocket+40+3%2F4.TRS0&_nkw=sprocket+40+3%2F4&_sacat=0 For...
  20. D

    How to calculate the gear ratio of this moonphase watch

    I would like to calculate the gear ratio of this moonphase watch, however i cannot calculate the exact day of its mentioned. What's wrong with my calculation? https://www.ochsundjunior.swiss/watches/moon-phase/tech-specs/ my calculation is 1/(2/12*14/18*14/109)/2=30.03 which is different from...
  21. T

    Automotive Calculating gear speed in rpm?

    Hi guys, How would I go about calculating gear speed in rpm? If I know the input shaft speed, output shaft speed, gear ratios and tyre size. Thanks.
  22. W

    Calculating gear ratios for a drivetrain

    I'm trying to calculate the required gear sizes for the system shown below: The driven wheel is connected to a 600mm diameter bicycle wheel and the driver wheel connected to a 580 mm long lever arm which has a forward driving force of 40 N. I want to calculate the most efficient sizing of...
  23. Sirsh

    4DOF Spur Gear System - Eigenvalues not corresponding with the Eqns?

    Hi there, I am modelling a four degree of freedom system which is the dynamics of two spur gears in mesh, having two rotational and two translation degrees of freedom, respectively, a diagram exhibiting the system can be seen below. I have derived the equations of motion (EOM) and...
  24. K

    How to calculate the required specifications of a motor?

    I am planning to design a reciprocating rack and pinion, as shown in this figure I plan to attach a cutter to this setup to cut anything.I need to know how to calculate the motor specifications for the given mass of the gear, cutter and cutter velocity I plan to make it with a plywood
  25. Parsifal1

    Radius Calculation for Gear Rotation with Rack and Pinion

    I want to find how far a gear from a rack and pinion will rotate from the displacement of the rack and the angle that it will have turned using: s=r*angular displacement. So what is the radius in this case?
  26. F

    Angle of twist of a gear relative to another

    Homework Statement why we need to consider 2 moment caused by the 85Nm in this question ? The question ask for the determine the angle of twist of gear A relative to D . Homework EquationsThe Attempt at a Solution Why shouldn't the angle of twist = (85)(0.4) / ( (0.5pi)( 0.015^4-...
  27. Navier-Stokes

    How do I understand this gear diagram?

    I'm finding it a bit too confusing to imagine how it actually would look like. But once I understand that, I'd easily be able to solve the problem! link: http://i.imgur.com/DApJzGx.jpg The attempt at a solution: I'm thinking that the dotted line might be the place where the gears mesh...
  28. S

    Q3.10: Power Calculation w/ Reduction Gear

    Homework Statement : [/B] Qstn no. 3.10 in the attached image. [ Moderator note: Copy of relevant portion of attachment inserted to make it visible here] Homework Equations : For power calculation, [/B] Power = torque * angular velocity... Also, reduction gear is used to deliver lower outout...
  29. M

    Calculating Spur Gear Transmissions - Step-by-Step Guide

    Hello. I need to calculate spur gear transmissions. I need a bit of guidance for the first steps. The data is the next: n= 1000 rev/min Mt torque= 28.65 Nm i transmission ratio= 4 P load in the shaft= 3kW I am a bit lost to star selecting the material (depending the load and work...
  30. M

    Calculating tq for incline / best practices for gear reduction

    I am calculating the amount of torque required to give mobility to a 7000 lbs oilfield service vehicle. The vehicle has a rectangular frame with fairly even weight distribution. The radius, from wheel center to edge of tire is 11.5 inches. These tires are treaded with various half-inch tall...
  31. Jonski

    What is the Angular Velocity of Gear 5 in a Differential Gear System?

    Homework Statement Gear 2 in the figure below is driven at a speed of 80 rpm in the CCW direction viewed from the right end. Gear 4 meshes with a fixed ring gear (gear 7) and with gear 5. Find the angular velocity of gear 5. N2= 16 T, N3= 32 T, N4= 30 T, N5= 22 T and N7= 77 T. Homework...
  32. V

    Contact analysis in Flexible gear

    Hi everybody, I'm working on an analysis model of flexible gear in ANSYS workbench. This model has 3 components: flexible gear(FG), wave generator(WG) and rigid gear(RG) Applied force have two case: WG makes FG deforming from circular shape to ellipse shape, the FG contacts and engages to RG...
  33. Gurfin321

    Automotive Electric Longboard Gear Ratio

    I would like to know what gear ratio i would need for my electric longboard. The goal is to run the longboard at 30 - 40 km/h at max power. Me and the longboards weight is approximately 65 kg. The brushless motor i am running has an rpm of approximately 18000 rpm (as it is an airplane engine)...
  34. Gurfin321

    Electric Longboard Gear Ratio

    I would like to know what gear ratio i would need for my electric longboard. The goal is to run the longboard at 30 - 40 km/h at max power. Me and the longboards weight is approximately 65 kg. The brushless motor i am running has an rpm of approximately 18000 rpm (as it is an airplane engine)...
  35. G

    Category ratings on test gear (maximum voltage)

    Hi all. What does the voltage rating in each category I/II/III/IV actually mean? For example, my multimeter is Cat III rated to 300V. Is this RMS? Peak? Peak-peak? Our supply here is 230V RMS AC, but this means the momentary peak is about + and - 330V (relative to neutral/ground) and the...
  36. Y

    A reverted compound gear train with value of 73.10+/-.01

    Homework Statement My professor said that we needed to acquire a program that can solve the equation: I have not had any success. Can anyone point me in the right direction? Homework Equations 73.09 < (N3N5)/(N2N4) < 73.11 The Attempt at a Solution
  37. Divya Shyam Singh

    Why is the addendum of the gear kept equal to the module?

    In general calculations of gear design, addendum is taken as a factor of the module of the gear such as equal to module or 0.8 times the module and dedendum is taken as 1.25 times the module. Why are both these defined in terms of module? How did we reach to this conclusion?
  38. shintashi

    For gear teeth to linear shaft, what's the center point?

    I used to know this back when i worked with Flash animation, but I'm working on a 3D printer now and I've forgotten, when you have a set of teeth, on a linear shaft and a gear, do you base the unrolling of the gear, for the spacing, on the inside of the teeth, the outside of the teeth, or the...
  39. Siddiqui

    Should I Consider Moment of Inertia for Coupled Motors with 26:1 Gear Ratio?

    Hello I am using two motor which are coupled with the mechanical coupling. The coupling has moment of inertia. The gear ratio of both motors is same 26:1. I want to know i also need to divide the coupling moment of inertia with the gear ratio? Thany
  40. B

    One way clutch for motorized cable reel?

    I am newbie in the area of clutches. I am making a motorized cable reel (DC motor) which I needed to make it easy for anyone to pull the cable reel out manually without much effort. Only pulling the cable out is manual. The retraction of the cord is done automatically via the DC motor. So, based...
  41. ollie_craw

    Biking up a hill in different gears

    Homework Statement Hi there, I am doing a project for my physics class where I am attempting to calculate the amount of force and work required to go up a 10% grade hill in a variety of different gears and I am running into a lot of issues. I have already collected my data and have calculated...
  42. Eddie714

    What is the Proper Involute Profile for Worm Gear Drive Teeth Design?

    Hello i am having trouble figuring out the proper profile to use for the worm and the gear. I need to model it in solidworks and everything i am finding online is for spur gears. I need to get the worm and gear to mesh correctly so i can do some finite element analysis on it. I have calculated...
  43. Ty Harris

    How much weight/force to move gear reduction

    I need some math help. I am very good with my hands and building mechanical things, but not-so-good with math calculations. ( I got a D in high school physics but can fix damned near anything...) I would appreciate some help figuring this out. I have attached a diagram showing what I am trying...
  44. kolleamm

    How are these little internal gear teeth made?

    This is a servo horn. I'd like to make my own if possible, but I have a hard time figuring out how in the world they make the teeth inside these parts. I'm not really sure what to ask in google.
  45. Jonski

    Finding Angle of Twist at Gear A Relative to Motor

    Homework Statement What is the angle of twist at gear A relative to the motor? (Round to the closest 6th decimal) Homework Equations I know to find the angle its θ = ∑ (TL/JG) but it can also be θ = Lτ/Gr The Attempt at a Solution So i used both these equations, and I got...
  46. S

    I Effects of lug height on final gear ratio for a snowmobile....

    So, great site. I have a quick question that I think has a simple answer. On a snowmobile forum I visit there has an ongoing debate. The question is, all other factors being the same, does changing the lug height on a track, change the final drive ratio of the snowmobile? I think I know the...
  47. J

    Calculating Gear RPM: Understanding Tire and Shaft Rotation | 60 Tooth Gear

    Hey Guys, So in the attached image I'm trying to determine what the rpm of the 60 tooth gear will be given the 8.4" tire will be rotating at .68 rpm, everything else is just an assumption on my part. I'm assuming the following which is probably wong: The tire being rotated at .68 rpm will...
  48. 9

    Automotive Understanding Gear Ratios: Inputs vs Reality

    The gear ratio is the ratio of angular displacement, angular velocity, angular acceleration, torque etc of the input with respect to output. However, I would like to know that which of these variables will be scaled exactly to the gear ratio in reality, as there might be some friction in the...
  49. G

    Effect of Gear Mass on Motor Torque

    I am new here to the forum, so I hope I am posting in the right section. I am working on a school project, planning to design a robotic wing. I am first devising a way to use gears with a servo motor (Hitec MG995 - http://www.electronicoscaldas.com/datasheet/MG995_Tower-Pro.pdf) as the driver...
  50. L

    How to show how speed varies with incline, and with Gear ratio

    Hey guys, I'm having difficulty with my university project which is to build an electric bike. My design is to have a friction wheel attached to the shaft of my 800W 2800rpm electric motor which is rated at 2.8Nm. I have two issues with my spreadsheets at the moment. Can someone please help...
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