Mechanical Engineering Exam > Mechanical Engineering Questions > A hollow shaft of same cross-section area an...
Start Learning for Free
A hollow shaft of same cross-section area and same mass as a solid shaft, transmits
- a)Same torque
- b)More torque
- c)Less torque
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A hollow shaft of same cross-section area and same mass as a solid sh...
If area of solid and hollow section are equal
View all questions of this test
Where
k = d / D
Eg: k=0.60
Th = 1.7 Ts Hollow shaft have 70% more torque.
Most Upvoted Answer
A hollow shaft of same cross-section area and same mass as a solid sh...
Explanation:
The torque transmitted by a shaft is given by the equation:
T = (π/16) * τ * d^3
where τ is the shear stress, and d is the diameter of the shaft.
Same cross-sectional area and mass:
Since the hollow shaft and the solid shaft have the same cross-sectional area and mass, we can assume that the diameter of the hollow shaft is greater than that of the solid shaft.
Therefore, the shear stress in the hollow shaft will be less than that in the solid shaft. This is because the shear stress is directly proportional to the diameter of the shaft.
Transmitting more torque:
As the torque transmitted by a shaft is directly proportional to the shear stress and the cube of the diameter, a larger diameter shaft will transmit more torque. Therefore, the hollow shaft with a larger diameter will transmit more torque than the solid shaft with a smaller diameter.
Conclusion:
Hence, we can conclude that a hollow shaft of the same cross-sectional area and mass as a solid shaft will transmit more torque.
The torque transmitted by a shaft is given by the equation:
T = (π/16) * τ * d^3
where τ is the shear stress, and d is the diameter of the shaft.
Same cross-sectional area and mass:
Since the hollow shaft and the solid shaft have the same cross-sectional area and mass, we can assume that the diameter of the hollow shaft is greater than that of the solid shaft.
Therefore, the shear stress in the hollow shaft will be less than that in the solid shaft. This is because the shear stress is directly proportional to the diameter of the shaft.
Transmitting more torque:
As the torque transmitted by a shaft is directly proportional to the shear stress and the cube of the diameter, a larger diameter shaft will transmit more torque. Therefore, the hollow shaft with a larger diameter will transmit more torque than the solid shaft with a smaller diameter.
Conclusion:
Hence, we can conclude that a hollow shaft of the same cross-sectional area and mass as a solid shaft will transmit more torque.
|
Explore Courses for Mechanical Engineering exam
|
|
Top Courses for Mechanical EngineeringView all
Question Description
A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. 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 A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. 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 A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. 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 A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. 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 A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect 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 A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A hollow shaft of same cross-section area and same mass as a solid shaft, transmitsa) Same torqueb) More torquec) Less torqued) None of the aboveCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup