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In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).
Correct answer is '0.871'. Can you explain this answer?
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Verified Answer
In a disc-type axial clutch, the frictional contact takes place within...
T = μW × Rm
Tnew = μ × W × Rnew
Tnew =
Told = μ × W × Rold
Tnew = Told
= 0.871
Tnew = μ × W × Rnew
Tnew =
Told = μ × W × Rold
Tnew = Told
= 0.871Most Upvoted Answer
In a disc-type axial clutch, the frictional contact takes place within...
Given:
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters of 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. It is also given that the contact pressure remains uniform during the operation of a new clutch, while the wear is assumed to be uniform for an old clutch, and the coefficient of friction does not change.
To Find:
The ratio F1/F2.
Solution:
We can solve this problem by considering the torque equilibrium condition for the clutch.
1. Torque Equilibrium:
The torque equilibrium condition can be given as:
T = F * r
Where:
T = Torque transmitted by the clutch
F = Axial force applied on the clutch
r = Effective radius of the clutch
2. Effective Radius:
The effective radius can be calculated as:
r = (r1 + r2) / 2
Where:
r1 = Outer radius of the clutch
r2 = Inner radius of the clutch
3. Torque Equation:
For the new clutch, the torque equation can be written as:
T = F1 * r
For the worn-out clutch, the torque equation can be written as:
T = F2 * r
4. Ratio of Axial Forces:
Dividing the torque equation for the new clutch by the torque equation for the worn-out clutch, we get:
F1 * r / F2 * r = F1 / F2 = 1
Therefore, the ratio F1/F2 is 1.
5. Considering the Uniform Wear:
However, in the given problem statement, it is mentioned that the wear is assumed to be uniform for the old clutch. This means that the inner and outer radii of the clutch will decrease uniformly.
6. Consideration of Decreased Radii:
Let the new inner and outer radii be r1' and r2', respectively, and the worn-out inner and outer radii be r1'' and r2'', respectively.
Since the wear is assumed to be uniform, the ratio of the new and worn-out radii will be the same as the ratio of the original radii:
(r1' / r1'') = (r2' / r2'')
7. Ratio of Axial Forces with Wear:
Using the equation for effective radius, we can write:
(r1' + r2') / (r1'' + r2'') = (r1 + r2) / (r1 + r2) = 1
Therefore, the ratio of the axial forces for the worn-out clutch to the new clutch is also 1.
8. Conclusion:
The ratio F1/F2 is 1 for the given problem.
However, the correct answer provided is 0.871. It seems that there may be an error in the question or the answer key. Regardless, based on the given information, the ratio F1/F2 should be 1.
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters of 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. It is also given that the contact pressure remains uniform during the operation of a new clutch, while the wear is assumed to be uniform for an old clutch, and the coefficient of friction does not change.
To Find:
The ratio F1/F2.
Solution:
We can solve this problem by considering the torque equilibrium condition for the clutch.
1. Torque Equilibrium:
The torque equilibrium condition can be given as:
T = F * r
Where:
T = Torque transmitted by the clutch
F = Axial force applied on the clutch
r = Effective radius of the clutch
2. Effective Radius:
The effective radius can be calculated as:
r = (r1 + r2) / 2
Where:
r1 = Outer radius of the clutch
r2 = Inner radius of the clutch
3. Torque Equation:
For the new clutch, the torque equation can be written as:
T = F1 * r
For the worn-out clutch, the torque equation can be written as:
T = F2 * r
4. Ratio of Axial Forces:
Dividing the torque equation for the new clutch by the torque equation for the worn-out clutch, we get:
F1 * r / F2 * r = F1 / F2 = 1
Therefore, the ratio F1/F2 is 1.
5. Considering the Uniform Wear:
However, in the given problem statement, it is mentioned that the wear is assumed to be uniform for the old clutch. This means that the inner and outer radii of the clutch will decrease uniformly.
6. Consideration of Decreased Radii:
Let the new inner and outer radii be r1' and r2', respectively, and the worn-out inner and outer radii be r1'' and r2'', respectively.
Since the wear is assumed to be uniform, the ratio of the new and worn-out radii will be the same as the ratio of the original radii:
(r1' / r1'') = (r2' / r2'')
7. Ratio of Axial Forces with Wear:
Using the equation for effective radius, we can write:
(r1' + r2') / (r1'' + r2'') = (r1 + r2) / (r1 + r2) = 1
Therefore, the ratio of the axial forces for the worn-out clutch to the new clutch is also 1.
8. Conclusion:
The ratio F1/F2 is 1 for the given problem.
However, the correct answer provided is 0.871. It seems that there may be an error in the question or the answer key. Regardless, based on the given information, the ratio F1/F2 should be 1.
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In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer?
Question Description
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer?.
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer?.
Solutions for In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer?, a detailed solution for In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? has been provided alongside types of In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters 250 mm and 50 mm, respectively. An axial force F1 is needed to transmit a torque by a new clutch. However, to transmit the same torque, one needs an axial force F2 when the clutch wears out. If contact pressure remains uniform during operation of a new clutch while the wear is assumed to be uniform for an old clutch and the coefficient of friction does not change, then the ratio F1/F2 is_________ (round off to 2 decimal places).Correct answer is '0.871'. Can you explain this answer? tests, examples and also practice GATE tests.
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