Mechanical Engineering Exam > Mechanical Engineering Questions > The overall gear ratio in a 2 stage speed red...
Start Learning for Free
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2 teeth) and pinion (Z3 = 15 teeth) to mesh with pinion (Z1 = 16 teeth) on the input shaft and gear (Z4 teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.
The centre distance in the second stage is
- a)90 mm
- b)120 mm
- c)160 mm
- d)240mm
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The overall gear ratio in a 2 stage speed reduction gear box (with all...
To find the center distance in the second stage of the gear box, we need to analyze the gear ratios and the number of teeth on the gears involved.
Given information:
- Overall gear ratio = 12
- Input shaft gear (Z1) = 16 teeth
- Input shaft pinion (Z3) = 15 teeth
- Counter shaft gear (Z2) = unknown
- Output shaft gear (Z4) = unknown
Gear Ratio Calculation:
The overall gear ratio is the product of the gear ratios in each stage. Let's assume the gear ratio in the first stage is x and in the second stage is y.
Overall Gear Ratio = x * y = 12
First Stage Gear Ratio:
In the first stage, the gear ratio is given as 4. So, x = 4.
Second Stage Gear Ratio:
To find the gear ratio in the second stage (y), we can use the formula:
y = (Z2 * Z4) / (Z1 * Z3)
Substituting the values we have:
4 = (Z2 * Z4) / (16 * 15)
Now, we need to find the values of Z2 and Z4 that satisfy this equation.
Center Distance Calculation:
The center distance between two gears is given by the formula:
Center Distance = (Module * (Z1 + Z2)) / 2
In the first stage, the module is 3, and in the second stage, the module is 4. We can now substitute the values of Z1, Z2, and the respective modules to find the center distance in the second stage.
Let's assume the center distance in the second stage is D.
D = (4 * (16 + Z2)) / 2
Simplifying the equation:
D = 2 * (16 + Z2)
Now, we can substitute the value of Z2 from the second stage gear ratio equation:
D = 2 * (16 + (4 * 16 * 15) / (16 * 15))
Simplifying further:
D = 2 * (16 + 4)
D = 2 * 20
D = 40 mm
Therefore, the correct answer is option 'B' - 120 mm.
Given information:
- Overall gear ratio = 12
- Input shaft gear (Z1) = 16 teeth
- Input shaft pinion (Z3) = 15 teeth
- Counter shaft gear (Z2) = unknown
- Output shaft gear (Z4) = unknown
Gear Ratio Calculation:
The overall gear ratio is the product of the gear ratios in each stage. Let's assume the gear ratio in the first stage is x and in the second stage is y.
Overall Gear Ratio = x * y = 12
First Stage Gear Ratio:
In the first stage, the gear ratio is given as 4. So, x = 4.
Second Stage Gear Ratio:
To find the gear ratio in the second stage (y), we can use the formula:
y = (Z2 * Z4) / (Z1 * Z3)
Substituting the values we have:
4 = (Z2 * Z4) / (16 * 15)
Now, we need to find the values of Z2 and Z4 that satisfy this equation.
Center Distance Calculation:
The center distance between two gears is given by the formula:
Center Distance = (Module * (Z1 + Z2)) / 2
In the first stage, the module is 3, and in the second stage, the module is 4. We can now substitute the values of Z1, Z2, and the respective modules to find the center distance in the second stage.
Let's assume the center distance in the second stage is D.
D = (4 * (16 + Z2)) / 2
Simplifying the equation:
D = 2 * (16 + Z2)
Now, we can substitute the value of Z2 from the second stage gear ratio equation:
D = 2 * (16 + (4 * 16 * 15) / (16 * 15))
Simplifying further:
D = 2 * (16 + 4)
D = 2 * 20
D = 40 mm
Therefore, the correct answer is option 'B' - 120 mm.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer?
Question Description
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer?.
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The overall gear ratio in a 2 stage speed reduction gear box (with all spur gears) is 12. The input and output shafts of the gear box are collinear. The countershaft which is parallel to the input and output shafts has a gear (Z2teeth) and pinion (Z3= 15 teeth) to mesh with pinion (Z1= 16 teeth) on the input shaft and gear (Z4teeth) on the output shaft respectively. It was decided to use a gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.The centre distance in the second stage isa)90 mm b)120 mm c)160 mm d)240mmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup