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A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.
- a)102.62 mm, 205.25 mm
- b)101.02 mm, 202.04 mm
- c)103.33 mm, 206.62 mm
- d)104.44 mm, 208.82 mm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A plate clutch consists of one pair of contacting surfaces and transm...
P = 20 kW,n = 750 rpm, μ = 0.2,
Pi = 1 N/mm2, D = 2d
Torque transmitting capacity:
= 254647.9 N-m
Force require to engage clutch
D = 2d
Inner and outer diameters:
d = 102.62 mm
D = 2d = 205.25 mm
Most Upvoted Answer
A plate clutch consists of one pair of contacting surfaces and transm...
Calculation of Inner and Outer Diameters of Plate Clutch
Given parameters:
Power transmitted (P) = 20 kW
Speed (N) = 750 rpm
Ratio of outer diameter to inner diameter (D/d) = 2
Coefficient of friction (μ) = 0.2
Permissible intensity of pressure (p) = 1 N/mm2
1. Calculation of Torque (T)
We know that,
Power (P) = 2πNT/60
⇒ T = (60P)/(2πN)
⇒ T = (60 × 20,000)/(2π × 750)
⇒ T = 254.65 Nm
2. Calculation of Inner Diameter (d)
We know that,
T = (π/2) μp (D2 - d2)
⇒ d2 = D2 - (2T)/(πμp)
⇒ d2 = (D2/4) - (T)/(2πμp)
⇒ d = √[(D2/4) - (T)/(2πμp)]
Substituting the given values,
d = √[(D2/4) - (254.65)/(2π × 0.2 × 1)]
⇒ d = 103.33 mm
3. Calculation of Outer Diameter (D)
We know that,
D/d = 2
⇒ D = 2d
⇒ D = 2 × 103.33
⇒ D = 206.62 mm
Therefore, the inner and outer diameters of the plate clutch are 103.33 mm and 206.62 mm, respectively. Hence, option (c) is the correct answer.
Given parameters:
Power transmitted (P) = 20 kW
Speed (N) = 750 rpm
Ratio of outer diameter to inner diameter (D/d) = 2
Coefficient of friction (μ) = 0.2
Permissible intensity of pressure (p) = 1 N/mm2
1. Calculation of Torque (T)
We know that,
Power (P) = 2πNT/60
⇒ T = (60P)/(2πN)
⇒ T = (60 × 20,000)/(2π × 750)
⇒ T = 254.65 Nm
2. Calculation of Inner Diameter (d)
We know that,
T = (π/2) μp (D2 - d2)
⇒ d2 = D2 - (2T)/(πμp)
⇒ d2 = (D2/4) - (T)/(2πμp)
⇒ d = √[(D2/4) - (T)/(2πμp)]
Substituting the given values,
d = √[(D2/4) - (254.65)/(2π × 0.2 × 1)]
⇒ d = 103.33 mm
3. Calculation of Outer Diameter (D)
We know that,
D/d = 2
⇒ D = 2d
⇒ D = 2 × 103.33
⇒ D = 206.62 mm
Therefore, the inner and outer diameters of the plate clutch are 103.33 mm and 206.62 mm, respectively. Hence, option (c) is the correct answer.
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A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer?
Question Description
A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 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 plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 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 plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer?.
A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 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 plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 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 plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer?.
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A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A plate clutch consists of one pair of contacting surfaces and transmits 20 kW power at 750 rpm. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.2 and the permissible intensity of pressure is 1 N/mm2. Assuming uniform wear theory, calculate the inner and outer diameters.a) 102.62 mm, 205.25 mmb) 101.02 mm, 202.04 mmc) 103.33 mm, 206.62 mmd) 104.44 mm, 208.82 mmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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