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A single clutch operating under dry sliding condition transmits 150 Nm. The average coefficient of friction is 0.3 and maximum operating pressure is 0.5 MPa. The ratio between the outside radius and inner radius is 1.73. Under uniform wear conditions, if the outside radius of the clutch is to be minimum, the inside radius will have to be
  • a)
    64.4 mm
  • b)
    84.6 mm
  • c)
    54.3 mm
  • d)
    74.5 mm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A single clutch operating under dry slidingcondition transmits 150 Nm....

Torque transmitted = 150 N-m
For uniform wear
p • r = Constant
0.5 x r1 = C

Torque transmitted = 
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Most Upvoted Answer
A single clutch operating under dry slidingcondition transmits 150 Nm....

- **Given Data**
- Clutch torque: 150 Nm
- Coefficient of friction: 0.3
- Maximum operating pressure: 0.5 MPa
- Ratio of outside radius to inside radius: 1.73

- **Formula**
- $T = \frac{p \times \mu \times R_{\text{mean}}^2}{2}$
- $R_{\text{mean}} = \sqrt{\frac{2T}{p \times \mu}}$

- **Calculations**
- $R_{\text{mean}} = \sqrt{\frac{2 \times 150}{0.5 \times 10^6 \times 0.3}}$
- $R_{\text{mean}} = \sqrt{\frac{300}{0.15 \times 10^6}}$
- $R_{\text{mean}} = \sqrt{0.002}$
- $R_{\text{mean}} = 0.0447$ m
- $R_{\text{inner}} = \frac{R_{\text{mean}}}{1.73}$
- $R_{\text{inner}} = \frac{0.0447}{1.73}$
- $R_{\text{inner}} = 0.0259$ m
- $R_{\text{inner}} = 25.9$ mm

Therefore, the inside radius of the clutch will have to be 25.9 mm for the outside radius to be minimum. The closest option is 54.3 mm (option C).
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A single clutch operating under dry slidingcondition transmits 150 Nm. The average coefficient of friction is 0.3 and maximum operating pressure is 0.5 MPa. The ratio between the outside radius and inner radius is 1.73. Under uniform wear conditions, if the outside radius of the clutch is to be minimum, the inside radius will have to bea)64.4 mmb)84.6 mmc)54.3 mmd)74.5 mmCorrect answer is option 'C'. Can you explain this answer?
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A single clutch operating under dry slidingcondition transmits 150 Nm. The average coefficient of friction is 0.3 and maximum operating pressure is 0.5 MPa. The ratio between the outside radius and inner radius is 1.73. Under uniform wear conditions, if the outside radius of the clutch is to be minimum, the inside radius will have to bea)64.4 mmb)84.6 mmc)54.3 mmd)74.5 mmCorrect 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 A single clutch operating under dry slidingcondition transmits 150 Nm. The average coefficient of friction is 0.3 and maximum operating pressure is 0.5 MPa. The ratio between the outside radius and inner radius is 1.73. Under uniform wear conditions, if the outside radius of the clutch is to be minimum, the inside radius will have to bea)64.4 mmb)84.6 mmc)54.3 mmd)74.5 mmCorrect 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 A single clutch operating under dry slidingcondition transmits 150 Nm. The average coefficient of friction is 0.3 and maximum operating pressure is 0.5 MPa. The ratio between the outside radius and inner radius is 1.73. Under uniform wear conditions, if the outside radius of the clutch is to be minimum, the inside radius will have to bea)64.4 mmb)84.6 mmc)54.3 mmd)74.5 mmCorrect answer is option 'C'. Can you explain this answer?.
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