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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.
Que: Z2 and Z4 are
- a)64 and 45
- b)45 and 64
- c)48 and 60
- d)60 and 48
Correct answer is option 'A'. Can you explain this answer?
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The overall gear ratio in a 2 stage speed reduction gear box (with all...
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The given problem:
- Overall gear ratio in a 2-stage speed reduction gear box is 12.
- Input and output shafts are collinear.
- Countershaft is parallel to the input and output shafts.
- Gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.
Solution:
Step 1: Determine the gear ratios for each stage
- The overall gear ratio is 12.
- Let the gear ratio for the first stage be x.
- Therefore, the gear ratio for the second stage will be 12/x.
- According to the problem, the gear ratio for the first stage is 4.
- Therefore, the gear ratio for the second stage will be 12/4 = 3.
Step 2: Determine the gear and pinion ratios for each stage
- In the first stage, the gear module is 3.
- The gear ratio for the first stage is 4, which means the gear has 4 times the number of teeth as the pinion.
- Let the number of teeth on the pinion be Z3.
- Therefore, the number of teeth on the gear will be 4 * Z3.
- In the second stage, the gear module is 4.
- The gear ratio for the second stage is 3, which means the gear has 3 times the number of teeth as the pinion.
- Let the number of teeth on the gear be Z4.
- Therefore, the number of teeth on the pinion will be Z4 / 3.
Step 3: Solve for Z3 and Z4
- From step 2, we have:
- Z2 = 4 * Z3
- Z4 = 3 * Z3
- Substituting Z4 = 3 * Z3 into Z2 = 4 * Z3, we get:
- Z2 = 4 * (Z4 / 3)
- Z2 = (4/3) * Z4
- From the given options, we need to find the values of Z2 and Z4 that satisfy the equation Z2 = (4/3) * Z4 and have a gear ratio of 12.
- Let's check the options:
- Option A: Z2 = 64 and Z4 = 45
- (4/3) * 45 = 60, which is not equal to 64.
- Option B: Z2 = 45 and Z4 = 64
- (4/3) * 64 = 85.33, which is not equal to 45.
- Option C: Z2 = 48 and Z4 = 60
- (4/3) * 60 = 80, which is not equal to 48.
- Option D: Z2 = 60 and Z4 = 48
- (4/3) * 48 = 64, which is equal to 60.
- Therefore, the correct answer is option A: Z2 = 64 and Z4 = 45.
- Overall gear ratio in a 2-stage speed reduction gear box is 12.
- Input and output shafts are collinear.
- Countershaft is parallel to the input and output shafts.
- Gear ratio of 4 with 3 module in the first stage and 4 module in the second stage.
Solution:
Step 1: Determine the gear ratios for each stage
- The overall gear ratio is 12.
- Let the gear ratio for the first stage be x.
- Therefore, the gear ratio for the second stage will be 12/x.
- According to the problem, the gear ratio for the first stage is 4.
- Therefore, the gear ratio for the second stage will be 12/4 = 3.
Step 2: Determine the gear and pinion ratios for each stage
- In the first stage, the gear module is 3.
- The gear ratio for the first stage is 4, which means the gear has 4 times the number of teeth as the pinion.
- Let the number of teeth on the pinion be Z3.
- Therefore, the number of teeth on the gear will be 4 * Z3.
- In the second stage, the gear module is 4.
- The gear ratio for the second stage is 3, which means the gear has 3 times the number of teeth as the pinion.
- Let the number of teeth on the gear be Z4.
- Therefore, the number of teeth on the pinion will be Z4 / 3.
Step 3: Solve for Z3 and Z4
- From step 2, we have:
- Z2 = 4 * Z3
- Z4 = 3 * Z3
- Substituting Z4 = 3 * Z3 into Z2 = 4 * Z3, we get:
- Z2 = 4 * (Z4 / 3)
- Z2 = (4/3) * Z4
- From the given options, we need to find the values of Z2 and Z4 that satisfy the equation Z2 = (4/3) * Z4 and have a gear ratio of 12.
- Let's check the options:
- Option A: Z2 = 64 and Z4 = 45
- (4/3) * 45 = 60, which is not equal to 64.
- Option B: Z2 = 45 and Z4 = 64
- (4/3) * 64 = 85.33, which is not equal to 45.
- Option C: Z2 = 48 and Z4 = 60
- (4/3) * 60 = 80, which is not equal to 48.
- Option D: Z2 = 60 and Z4 = 48
- (4/3) * 48 = 64, which is equal to 60.
- Therefore, the correct answer is option A: Z2 = 64 and Z4 = 45.
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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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. Can you explain this answer?
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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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. 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 (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.Que: Z2 and Z4 area)64 and 45 b)45 and 64 c)48 and 60 d)60 and 48Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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