need help The following figure shows a single-stage gear train. Gear trains are used in many products, such as clocks and automotive transmissions, to reduce or increase theangular velocity of a component. The size of each gear is measured by the number of teeth rather than the radius. Suppose the first gear has n1 teeth and thesecond gear has n2 teeth.Gear 1Gear 2(n1, @))(n2, W2)Because the spacing of the teeth is the same for both gears, the ratio of their radii will be equivalent to the corresponding ratio of the number of teeth. When twogears are meshed together, they share the same linear velocity. If w1 and w2 are the angular velocities of the first and second gears, respectively, thenV2= V1r2@2r1@2r2@2 =n2The first gear in a single-stage gear train has 45 teeth and an angular velocity of 3 revolutions per second. The second gear has 6 teeth. Find the angular velocityof the second gear. (Round your answer to two decimal places.)© Cengage Learning

Given information: The number of teeth in the first gear train (n1) = 45 The angular velocity of…

The first gear in a single-stage gear train has 45 teeth and an angular velocity of 3 revolutions per second. The second gear has 6 teeth. Find the angular velocity of the second gear. (Round your answer to two decimal places.)

The first gear in a single-stage gear train has 45 teeth and an angular velocity of 3 revolutions per second. The second gear has 6 teeth. Find the angular velocity of the second gear. (Round your answer to two decimal places.)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question 3 (a) A compound gear train consists of 7 gears (1– 7) in total with the number of teeth given in the table below. Gears 2 and 3 and gears 5 and 6 are a compound gear set. Gear 1 rotates in a clockwise direction. N1 = 45, N2 = 30, N3 = 60, N4 = 20, Ns = 45, N6 = 54, N7= 25 i. Briefly sketch and label the gear train. Note a 2D sketch is sufficient and the diameters of the gears are not required at this stage so use your own judgement on sizing but clearly state any assumptions. ii. Determine the Velocity Ratio and Train Value of the gear Train. iii. If the input speed is 200rev/mins determine the output speed and direction. iv. Determine the speed of gear 4. (b) A 1m long rectangular beam supported at either end is subjected to a 5kN point load in the centre. Determine the maximum bending and maximum shear stress if the beam is 20mm thick and 200mm wide.
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
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 =
Gear box in a car is shown in Figure Q(2). Using Tables given below and an input speed (Gear 2) of 2000 rev/min, Determine the following: (1) The number of teeth (z) in gears 3, 6, 7 & 11. Speed Ratio (Rv) (Ratio of output gear speed to input gear speed) Stages Gear No of teeth (Z) Diameter 2 3 16 1 0.4 120 mm 4 33 1.5 7 75 mm 3 1 10 20 11 4 0.5 48 (ii) The drive shaft speed for third gear drive (2-3-4-7) (iii) The drive shaft speed for reverse gear (2-3-6-10-11-9) (iv) The module (m) of stage 2 Input Output Sequence Gear Drive 2-3-6-9 Second 2-3-5-8 2-3-4-7 Fourth Straight through Reverse 2-3-6-10-11-9 First Third
You have five gears meshed to each other running in a line. The first gear Z=100, second gear Z=50, third gear Z=200, fourth gear Z=150 and fifth gear Z=200. The first gear turns clockwise at 100 revolutions per minute. What direction will gear number 5 runs and at what speed? (1)
Gear box in a car is shown in Figure Q(2). Using Tables given below and an input speed (Gear 2) of 3000 rev/min, Determine the following: (i) The number of teeth (z) in gears 3, 6, 7 & 11. Stages Gear No of Diameter Speed Ratio (Rv) (Ratio of output gear speed to input gear speed) teeth (Z) 2 3 15 1 120 mm 0.375 4 7 36 75 mm 1.5 6 3. 1 10 17 11 4 0.5 44 The drive shaft speed for third gear drive (2-3-4-7) (ii) The drive shaft speed for reverse gear (2-3-6-10-11-9) (iv) The module (m) of stage 1 Input Output Sequence Gear Drive First 2-3-6-9 Second 2-3-5-8 Third 2-3-4-7 Fourth Straight through Reverse 2-3-6-10-11-9 Figure Q(2)
Ex. #1] Given a gear of 16 teeth, 4 diametral pitch. The dedendum equals 1/P, inch, the clearance is to be one-eight of the addendum, and the backlash is to be 2 percent of the circular pitch. Calculate the following, giving the results to 3 decimal places: a) the pitch diameter; b) the addendum and dedendum diameter; c) the whole depth; d) the backlash; e) the tooth thickness; and f) the space width. Given: A spur gear T = 16 teeth Backlash = 0.02 P Add = 1/Pd Clearance = (1/8) addendum Required: Determine the a) D, b) Add and Ded diameters, c) whole depth, d) backlash, e) tooth thickness, f) space width. Solution: (To be discussed during the lecture period)
Words: Dividing, Driven, Gear, Number, Larger, Multiplication, Ratios,Gear ________________ express the mathematical relationship of one gear to another. ________________ ratios can varyby changing the diameter and ________________ of teeth of the gears in mesh. A gear ratio also expresses the amount oftorque ________________ between two gears. The ratio is obtained by ________________ the diameter or number of teethof the ________________ gear by the diameter or teeth of the drive gear. If the smaller driving gear had eleven teeth and the________________ gear had forty-four teeth, the ratio is 4:1.
The progressive or gradual engagement of the teeth of helical gears gives the ability to transmit heavy loads at high speeds Select one: O True O False s page Ne Type here to search
Bevel Gear A pair of bevel gears connects shafts at right angle with speed ratio of 2:3. The larger gear has 30 teeth with 4-tooth per inch diametral pitch. The gear is made up of 20°involute full depth. Determine the following: a) the number of teeth of pinion b) the pitch angle of gear c) the pitch angle of pinion d) the pinion diameter e) the gear diameter f) the length of cone g) the expected value of addendum h) the expected value of addendum angle i) the face angle of pinion j) the face angle of gear k) the dedendum l) the dedendum angle m) the cutting angle of pinion n) the cutting angle of gear.
7. The following data relate to a pair of 20° involute gears in mesh : Module = 6 mm, Number of teeth on pinion = 17, Number of teeth on gear = 49; Addenda on pinion and gear wheel = 1 module. Find : (a) The number of pairs of teeth in contact (b) The angle turned through by the pinion and the gear wheel when one pair of teeth is in contact (c) The ratio of sliding to rolling motion when the tip of a tooth on the larger wheel (i) is just making contact (ii) is just leaving contact with its mating tooth (iii) is at the pitch point.
A system of 5 gears (gear A, B, C, D, E) with the number of teeth 20, 25, 35, 26 and 34, respectively. Gear A has a rotational speed of 600 rpm counterclockwise. a) Determine the direction and magnitude of the rotational speed for each gear (gear B, C, D, E) b) Determine the transmission number (speed ratio)