Consider the reverted compound helical gear train shown with the given numbers of teeth. The normal...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the reverted compound helical gear train shown with the given numbers of teeth. The normal module of Gear 1 is 3.5 mm and the normal module of Gear 3 is 5 mm. Gear 1 has left-hand helix and Gear 3 has right-hand helix. The helix angle of Gear 1 is 25°. The input shaft is driven at a speed of 300 rpm by a motor that delivers a power of 5 kW. Looking from the left side of the figure, the output shaft rotates clockwise (CW). Note that shaft AB is parallel to input and output shafts, and assume 100% efficiency for each gear pair. All gears have stub depth teeth with normal pressure angle of 20°. Output Gear 4 40 teeth Gear 3 Gear 1 20 teeth 24 teeth Gear 2 Input 60 teeth B Answer the following questions: (a) Calculate the helix angle for Gear 3. [4 M] (b) Calculate the pitch diameters for Gears 1 and 3. [2 M] (c) What are the helix angles for Gears 2 and 4? [2 M] (d) What is the hand of Gear 2 and that of Gear 4? [2 M] (e) Considering the axes-system given in the picture, what is the direction of the axial force on Gear 2 and that on Gear 4? [3 M] (f) Calculate all the forces acting on Gear 2. [4 M] (g) Draw a free body diagram of Gear 2 showing all the forces calculated above in their proper directions as per the given axes-system. [3 M] Consider the reverted compound helical gear train shown with the given numbers of teeth. The normal module of Gear 1 is 3.5 mm and the normal module of Gear 3 is 5 mm. Gear 1 has left-hand helix and Gear 3 has right-hand helix. The helix angle of Gear 1 is 25°. The input shaft is driven at a speed of 300 rpm by a motor that delivers a power of 5 kW. Looking from the left side of the figure, the output shaft rotates clockwise (CW). Note that shaft AB is parallel to input and output shafts, and assume 100% efficiency for each gear pair. All gears have stub depth teeth with normal pressure angle of 20°. Output Gear 4 40 teeth Gear 3 Gear 1 20 teeth 24 teeth Gear 2 Input 60 teeth B Answer the following questions: (a) Calculate the helix angle for Gear 3. [4 M] (b) Calculate the pitch diameters for Gears 1 and 3. [2 M] (c) What are the helix angles for Gears 2 and 4? [2 M] (d) What is the hand of Gear 2 and that of Gear 4? [2 M] (e) Considering the axes-system given in the picture, what is the direction of the axial force on Gear 2 and that on Gear 4? [3 M] (f) Calculate all the forces acting on Gear 2. [4 M] (g) Draw a free body diagram of Gear 2 showing all the forces calculated above in their proper directions as per the given axes-system. [3 M]
Expert Answer:
Answer rating: 100% (QA)
a The helix angle for Gear 3 can be calculated using the formula helix angle tan1tanhelix angle of g... View the full answer
Related Book For
Shigleys Mechanical Engineering Design
ISBN: 978-1121345317
9th edition
Authors: Richard G. Budynas, J. Keith Nisbett
Posted Date:
Students also viewed these physics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The hub diameter and projection for the gear of Prob. 1351 are 100 and 37.5 mm, respectively. The face width of the gear is 50 mm. Locate bearings C and D on opposite sides, spacing C 10 mm from the...
-
A gearbox is needed to provide an exact 36:1 decrease in speed, while minimizing the overall gearbox size. The input and output shafts should be in-line. Specify appropriate teeth numbers. Input...
-
Draw structures for the following molecules (a) Acrylonitrile, C3H3N, which contains a carbon-carbon double bond and a carbon-nitrogen triple bond (b) Ethyl methyl ether, C3H8O, which contains an...
-
For each of the following separate cases, compute cash flows from operations. The list includes all balance sheet accounts related to operatingactivities. Case A Case B Case C Net Income.....
-
The Koch snowflake is a fractal formed by repeatedly adding smaller equilateral triangles to the sides of an initial triangle. If the perimeter of the initial equilateral triangle is 36 units,...
-
A water jet pump (see Fig. P5.17) involves a jet cross-sectional area of \(0.01 \mathrm{~m}^{2}\), and a jet velocity of \(30 \mathrm{~m} / \mathrm{s}\). The jet is surrounded by entrained water. The...
-
1. Describe the conditions necessary to develop a stock market in an emerging economy. 2. How do these conditions compare to the situation in China? 3. How likely is China to develop a stock market...
-
Mumford Limited had the following financial statement account balances for 2022. Net Sales $356,420 Cost of Goods Sold 152,000 Average Accounts Receivable 19,710 Average Inventory 4,845 average...
-
On December 1, Year 1, John and Patty Driver formed a corporation called Susquehanna Equipment Rentals. The new corporation was able to begin operations immediately by purchasing the assets and...
-
An arrow is fired at 80 m/s at 30 from 1.5 m above the ground. The arrow hits a target 485 m away. How long does it take for the arrow to reach the target. What is the height of the target?
-
Given the following account balances before closing entries, what would be the balance for Retained Earnings on the Post - Closing Trial Balance (assuming the beginning Retained Earnings balance is...
-
How do religious institutions function as mechanisms of social control, utilizing doctrines, rituals, and moral guidelines to shape behavior and enforce conformity within religious communities and...
-
Describe the advantages and disadvantages of object-oriented databases. Explain the differences between rational and object-oriented databases. Explain the security features of object-oriented...
-
Alternative Financing Plans Frey Co. is considering the following alternative financing plans: Plan 1 Issue 5% bonds (at face value) $6,000,000 Issue preferred $1 stock, $20 par Issue common stock,...
-
A concave spherical mirror has a radius of curvature of magnitude 21.0 cm. (a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".) object...
-
(a) Derive the expression for the energy stored in a parallel plate capacitor. Hence obtain the expression for the energy density of the electric field. (b) A fully charged parallel plate capacitor...
-
Use a calculator to evaluate the expression. Round your result to the nearest thousandth. V (32 + #)
-
A mechanical system comprises three subsystems in series with reliabilities of 98, 96, and 94 percent. What is the overall reliability of the system?
-
Consider a tie rod transmitting a tensile force F. The corresponding tensile stress is given by = F/A, where A is the area of the cross section. The deflection of the rod is given by Eq. (43), which...
-
The 24T 6-pitch 20¦ pinion 2 shown in the figure rotates clockwise at 1000 rev/min and is driven at a power of 25 hp. Gears 4, 5, and 6 have 24, 36, and 144 teeth, respectively. What torque...
-
For the attached flows over slender delta wings, show that at low angles of attack Eqs. 1.11 and 1.33 are identical. Eq 1.11 Eq 1.13 = 1 2 AR CL=
-
The ellipsoid given in Problem 2.3 is also undergoing a pulsative major axis change with the same period but with phase difference \(\phi\). Express the equation of surfaces. Problem 2.3 An oblate...
-
Express the components of stress tensor in generalized coordinates in terms ofvelocity gradients.
Study smarter with the SolutionInn App