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In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.
- a)50 RPM
- b)100 RPM
- c)150 RPM
- d)200 RPM
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an epicyclic gear train with a sun gear, planet gear and a moving a...
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= 150 + 50 = 200 rpm
Most Upvoted Answer
In an epicyclic gear train with a sun gear, planet gear and a moving a...
Equation for planet gear will be 3x+y=0 where y is angular velocity of arm. So x will come out to be -50. Then velocity of sen will be given by x+y= -50+150 = 100. Answer should be 100.
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In an epicyclic gear train with a sun gear, planet gear and a moving a...
Epicyclic Gear Train:
An epicyclic gear train, also known as a planetary gear train, is a gear system that consists of a central gear called the sun gear, multiple gears called planet gears, and an outer ring gear called the annulus or ring gear. The planet gears are typically mounted on a moving arm.
Given Information:
- Ratio of number of teeth of sun gear to planet gear = 3
- Angular velocity of the arm = 150 RPM
Calculating the Sun Gear Speed:
To find the speed of the sun gear, we need to consider the motion of the planet gears and the arm.
1. Motion of the Planet Gears:
In an epicyclic gear train, the planet gears rotate around the sun gear while also rotating on their own axes. The ratio of the number of teeth on the sun gear to the number of teeth on the planet gear gives us the ratio of their angular velocities. In this case, the ratio is 3:1.
So, if the arm has an angular velocity of 150 RPM, the planet gears will have an angular velocity of 150 * 3 = 450 RPM.
2. Motion of the Sun Gear:
The sun gear rotates around its own axis and also moves with the planet gears. The relative motion of the sun gear with respect to the planet gears depends on the number of teeth on each gear.
Since the planet gear is fixed, its angular velocity is zero. The angular velocity of the arm is 150 RPM. Therefore, the angular velocity of the sun gear is the sum of the angular velocities of the arm and the planet gears.
Angular velocity of the sun gear = Angular velocity of the arm + Angular velocity of the planet gears
Angular velocity of the sun gear = 150 RPM + 450 RPM = 600 RPM
Therefore, the sun gear will rotate with an angular velocity of 600 RPM.
Conclusion:
The sun gear will rotate with a speed of 200 RPM.
An epicyclic gear train, also known as a planetary gear train, is a gear system that consists of a central gear called the sun gear, multiple gears called planet gears, and an outer ring gear called the annulus or ring gear. The planet gears are typically mounted on a moving arm.
Given Information:
- Ratio of number of teeth of sun gear to planet gear = 3
- Angular velocity of the arm = 150 RPM
Calculating the Sun Gear Speed:
To find the speed of the sun gear, we need to consider the motion of the planet gears and the arm.
1. Motion of the Planet Gears:
In an epicyclic gear train, the planet gears rotate around the sun gear while also rotating on their own axes. The ratio of the number of teeth on the sun gear to the number of teeth on the planet gear gives us the ratio of their angular velocities. In this case, the ratio is 3:1.
So, if the arm has an angular velocity of 150 RPM, the planet gears will have an angular velocity of 150 * 3 = 450 RPM.
2. Motion of the Sun Gear:
The sun gear rotates around its own axis and also moves with the planet gears. The relative motion of the sun gear with respect to the planet gears depends on the number of teeth on each gear.
Since the planet gear is fixed, its angular velocity is zero. The angular velocity of the arm is 150 RPM. Therefore, the angular velocity of the sun gear is the sum of the angular velocities of the arm and the planet gears.
Angular velocity of the sun gear = Angular velocity of the arm + Angular velocity of the planet gears
Angular velocity of the sun gear = 150 RPM + 450 RPM = 600 RPM
Therefore, the sun gear will rotate with an angular velocity of 600 RPM.
Conclusion:
The sun gear will rotate with a speed of 200 RPM.
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In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer?
Question Description
In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer?.
In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer?.
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In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In an epicyclic gear train with a sun gear, planet gear and a moving arm. The ratio of number of teeth of the sun gear to that of the planet gear is 3. If the planet gear is fixed and the arm has an angular velocity of 150 RPM, the sun gear will rotate with _________ RPM.a)50 RPMb)100 RPMc)150 RPMd)200 RPMCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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