Mechanical Engineering Exam > Mechanical Engineering Questions > The diameter of shaft A is twice the diameter...
Start Learning for Free
The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B is
- a)The same as that of A
- b)Half of A
- c)1/8th of A
- d)1/4th of A
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The diameter of shaft A is twice the diameter of shaft B and both are ...
Most Upvoted Answer
The diameter of shaft A is twice the diameter of shaft B and both are ...
Shaft A and Shaft B
- Shaft A has a diameter twice that of Shaft B.
- Both shafts are made of the same material.
- Both shafts rotate at the same speed.
Power Transmitted
The power transmitted by a rotating shaft is given by the equation:
Power (P) = (Torque (T) × Angular velocity (ω)) / 1000
Here, torque is the force applied perpendicular to the shaft multiplied by the radius of the shaft, and angular velocity is the rate at which the shaft rotates.
Comparison of Shafts A and B
Since both shafts are rotating at the same speed, the angular velocity (ω) is the same for both.
Let the diameter of Shaft B be D, then the diameter of Shaft A is 2D.
The radius of Shaft B is D/2, and the radius of Shaft A is (2D)/2 = D.
Torque Calculation
The torque transmitted by a shaft is directly proportional to the radius of the shaft.
Since both shafts are made of the same material, the torque transmitted by Shaft A is directly proportional to the radius of Shaft A, and the torque transmitted by Shaft B is directly proportional to the radius of Shaft B.
Hence, the torque transmitted by Shaft A is 2 times the torque transmitted by Shaft B.
Power Calculation
Using the equation for power, we have:
Power (A) = (Torque (A) × Angular velocity (ω)) / 1000
Power (B) = (Torque (B) × Angular velocity (ω)) / 1000
Since the angular velocity is the same for both shafts, it can be canceled out.
Therefore, Power (A) = Torque (A) / 1000
Power (B) = Torque (B) / 1000
Substituting the torque values, we have:
Power (A) = (2 × Torque (B)) / 1000
Since the torque transmitted by Shaft A is 2 times the torque transmitted by Shaft B, we can rewrite the equation as:
Power (A) = (2 × 2 × Torque (B)) / 1000
Power (A) = (4 × Torque (B)) / 1000
This means that the power transmitted by Shaft A is 4 times the power transmitted by Shaft B.
Conclusion
Hence, the maximum power transmitted by Shaft B is 1/4th of the power transmitted by Shaft A. Therefore, the correct answer is option 'd', 1/4th of A.
- Shaft A has a diameter twice that of Shaft B.
- Both shafts are made of the same material.
- Both shafts rotate at the same speed.
Power Transmitted
The power transmitted by a rotating shaft is given by the equation:
Power (P) = (Torque (T) × Angular velocity (ω)) / 1000
Here, torque is the force applied perpendicular to the shaft multiplied by the radius of the shaft, and angular velocity is the rate at which the shaft rotates.
Comparison of Shafts A and B
Since both shafts are rotating at the same speed, the angular velocity (ω) is the same for both.
Let the diameter of Shaft B be D, then the diameter of Shaft A is 2D.
The radius of Shaft B is D/2, and the radius of Shaft A is (2D)/2 = D.
Torque Calculation
The torque transmitted by a shaft is directly proportional to the radius of the shaft.
Since both shafts are made of the same material, the torque transmitted by Shaft A is directly proportional to the radius of Shaft A, and the torque transmitted by Shaft B is directly proportional to the radius of Shaft B.
Hence, the torque transmitted by Shaft A is 2 times the torque transmitted by Shaft B.
Power Calculation
Using the equation for power, we have:
Power (A) = (Torque (A) × Angular velocity (ω)) / 1000
Power (B) = (Torque (B) × Angular velocity (ω)) / 1000
Since the angular velocity is the same for both shafts, it can be canceled out.
Therefore, Power (A) = Torque (A) / 1000
Power (B) = Torque (B) / 1000
Substituting the torque values, we have:
Power (A) = (2 × Torque (B)) / 1000
Since the torque transmitted by Shaft A is 2 times the torque transmitted by Shaft B, we can rewrite the equation as:
Power (A) = (2 × 2 × Torque (B)) / 1000
Power (A) = (4 × Torque (B)) / 1000
This means that the power transmitted by Shaft A is 4 times the power transmitted by Shaft B.
Conclusion
Hence, the maximum power transmitted by Shaft B is 1/4th of the power transmitted by Shaft A. Therefore, the correct answer is option 'd', 1/4th of A.
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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer?
Question Description
The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer?.
The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer?.
Solutions for The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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 diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The diameter of shaft A is twice the diameter of shaft B and both are made of the same material. Assuming both the shafts to rotate at the same speed, the maximum power transmitted by B isa)The same as that of Ab)Half of Ac)1/8thof Ad)1/4thof ACorrect answer is option 'C'. 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