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A clutch has outer and inner diameters 100 mm and 40 mm respectively. Assuming a uniform pressure of 2 MPa and coefficient of friction of liner material 0.4, the torque carrying capacity of the clutch is    
  • a)
    148 Nm
  • b)
    196 Nm  
  • c)
    372 Nm  
  • d)
    490 Nm
Correct answer is option 'B'. Can you explain this answer?
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A clutch has outer and inner diameters 100 mm and 40 mm respectively. ...
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A clutch has outer and inner diameters 100 mm and 40 mm respectively. ...
Given data:
- Outer diameter of clutch (D1) = 100 mm
- Inner diameter of clutch (D2) = 40 mm
- Uniform pressure (P) = 2 MPa
- Coefficient of friction (μ) = 0.4

To calculate the torque carrying capacity of the clutch, we can use the formula:

T = (π/2) * (D1^2 - D2^2) * P * μ

Let's break down the solution into steps:

Step 1: Convert the diameters from millimeters to meters
- D1 = 100 mm = 0.1 m
- D2 = 40 mm = 0.04 m

Step 2: Calculate the torque carrying capacity using the formula
- T = (π/2) * (0.1^2 - 0.04^2) * 2e6 * 0.4
- T = (π/2) * (0.01 - 0.0016) * 2e6 * 0.4
- T = (π/2) * 0.0084 * 2e6 * 0.4
- T = 0.0084 * π * 2e6 * 0.4
- T = 2680832 Nmm

Step 3: Convert the torque from Newton-millimeters to Newton-meters
- 1 Nm = 1 Nmm / 1000
- T = 2680832 / 1000
- T ≈ 2680.832 Nm

Therefore, the torque carrying capacity of the clutch is approximately 2680.832 Nm, which is closest to option B (196 Nm).

In conclusion, option B is the correct answer.
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A clutch has outer and inner diameters 100 mm and 40 mm respectively. Assuming a uniform pressure of 2 MPa and coefficient of friction of liner material 0.4, the torque carrying capacity of the clutch is a)148 Nmb)196 Nm c)372 Nm d)490 NmCorrect 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 clutch has outer and inner diameters 100 mm and 40 mm respectively. Assuming a uniform pressure of 2 MPa and coefficient of friction of liner material 0.4, the torque carrying capacity of the clutch is a)148 Nmb)196 Nm c)372 Nm d)490 NmCorrect 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 clutch has outer and inner diameters 100 mm and 40 mm respectively. Assuming a uniform pressure of 2 MPa and coefficient of friction of liner material 0.4, the torque carrying capacity of the clutch is a)148 Nmb)196 Nm c)372 Nm d)490 NmCorrect answer is option 'B'. Can you explain this answer?.
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