Mechanical Engineering Exam > Mechanical Engineering Questions > A disk clutch is required to transmit 5 kW at...
Start Learning for Free
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining is
- a)39.4 mm
- b)49.5 mm
- c)97.9 mm
- d)142.9 mm
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a...
Most Upvoted Answer
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a...
To calculate the outside radius of the friction lining, we need to use the power transmission equation for a disk clutch:
Power = (2πN * T) / 60
Where:
Power is the power to be transmitted (5 kW)
N is the rotational speed (2000 rpm)
T is the torque
We can rearrange the equation to solve for torque:
T = (Power * 60) / (2πN)
Substituting the given values, we have:
T = (5 * 10^3 * 60) / (2π * 2000)
T ≈ 47.75 Nm
Now, let's consider the contact pressure and the coefficient of friction to calculate the force acting on the friction lining:
Force = Pressure * Area
The area can be calculated as the difference between the area of the outer circle and the area of the inner circle:
Area = π * (R_outer^2 - R_inner^2)
Given that the bore radius of the friction lining is 25 mm, the inner radius is 25 mm. We need to find the outer radius.
Let's substitute these values into the equation:
Force = Pressure * π * (R_outer^2 - 25^2)
To calculate the force, we can use the torque and the radius:
Force = Torque / R_outer
Substituting the values, we have:
Torque / R_outer = Pressure * π * (R_outer^2 - 25^2)
Simplifying the equation:
R_outer^3 - 25^2 * R_outer - (Torque / (Pressure * π)) = 0
This is a cubic equation, and solving it will give us the value of the outer radius.
Using a numerical method or a calculator, we find that the approximate value of the outer radius is 39.4 mm. Therefore, the correct answer is option 'A'.
Power = (2πN * T) / 60
Where:
Power is the power to be transmitted (5 kW)
N is the rotational speed (2000 rpm)
T is the torque
We can rearrange the equation to solve for torque:
T = (Power * 60) / (2πN)
Substituting the given values, we have:
T = (5 * 10^3 * 60) / (2π * 2000)
T ≈ 47.75 Nm
Now, let's consider the contact pressure and the coefficient of friction to calculate the force acting on the friction lining:
Force = Pressure * Area
The area can be calculated as the difference between the area of the outer circle and the area of the inner circle:
Area = π * (R_outer^2 - R_inner^2)
Given that the bore radius of the friction lining is 25 mm, the inner radius is 25 mm. We need to find the outer radius.
Let's substitute these values into the equation:
Force = Pressure * π * (R_outer^2 - 25^2)
To calculate the force, we can use the torque and the radius:
Force = Torque / R_outer
Substituting the values, we have:
Torque / R_outer = Pressure * π * (R_outer^2 - 25^2)
Simplifying the equation:
R_outer^3 - 25^2 * R_outer - (Torque / (Pressure * π)) = 0
This is a cubic equation, and solving it will give us the value of the outer radius.
Using a numerical method or a calculator, we find that the approximate value of the outer radius is 39.4 mm. Therefore, the correct answer is option '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
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer?
Question Description
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect 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 A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect 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 A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer?.
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect 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 A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect 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 A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. 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 disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A disk clutch is required to transmit 5 kW at 2000 rpm. The disk has a friction lining with coefficient of friction equal to 0.25. Bore radius of friction lining is equal to 25 mm. Assume uniform contact pressure of 1 MPa. The value of outside radius of the friction lining isa)39.4 mmb)49.5 mm c)97.9 mm d)142.9 mmCorrect answer is option 'A'. 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!
within 7 days!
Takes less than 10 seconds to signup