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A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial intensity of pressure not to exceed 0.12 1 N/mm2, and the coefficient of friction of the friction surfaces is 0.12. the inner radius of the discs is 80 mm, and is .7 times the outer radius. Determine number of disc required to transmit the given power. Assume uniform wear condition.?
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A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial i...
Calculation of Number of Discs Required in a Multiple-Disc Clutch


Given Data:


  • Power transmitted (P) = 50 kW

  • Speed (N) = 1400 rpm

  • Axial intensity of pressure (p) = 0.12 N/mm2

  • Coefficient of friction (μ) = 0.12

  • Inner radius of discs (r1) = 80 mm

  • Outer radius of discs (r2) = 1.4 * r1 = 112 mm



Formula Used:


  • Power transmitted (P) = 2 * π * N * T / 60

  • Axial force (F) = π * (r22 - r12) * p

  • Torque (T) = F * μ * rm

  • Number of discs (n) = (P * 60) / (2 * π * N * T)



Calculation:


  • From the given data, r1 = 80 mm and r2 = 112 mm

  • Mean radius (rm) = (r1 + r2) / 2 = 96 mm

  • Speed (N) is given in rpm, so it needs to be converted to rad/s

  • N = 1400 rpm = (1400 / 60) rad/s = 23.33 rad/s

  • Axial force (F) = π * (r22 - r12) * p = π * (1122 - 802) * 0.12 = 2755.2 N

  • Torque (T) = F * μ * rm = 2755.2 * 0.12 * 96 = 31623.552 N-mm

  • Number of discs (n) = (P * 60) / (2 * π * N * T) = (50 * 60) / (2 * π * 23.33 * 31623.552) = 2.35



Answer:

Therefore, the number of discs required in the multiple-disc clutch is 3 (since the number of discs needs to be a whole number). This means that the clutch will have 3 pairs of friction surfaces, with each pair consisting of an inner and outer disc.
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Consider a simple communication system where multiple nodes are connected by a shared broadcast medium (like Ethernet or wireless). The nodes in the system use the following carrier-sense based medium access protocol. A node that receives a packet to transmit will carrier-sense the medium for 5 units of time. If the node does not detect any other transmission in this duration, it starts transmitting its packet in the next time unit. If the node detects another transmission, it waits until this other transmission finishes, and then begins to carrier-sense for 5 time units again. Once they start to transmit, nodes do not perform any collision detection and continue transmission even if a collision occurs. All transmissions last for 20 units of time. Assume that the transmission signal travels at the speed of 10 meters per unit time in the medium.Assume that the system has two nodes P and Q, located at a distance d meters from each other. P starts transmitting a packet at time t=0 after successfully completing its carrier-sense phase. Node Q has a packet to transmit at time t=0 and begins to carrier-sense the medium. The maximum distance d (in meters, rounded to the closest integer) that allows Q to successfully avoid a collision between its proposed transmission and P’s ongoing transmission is _____. Correct answer is '50 to 50'. Can you explain this answer?

A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial intensity of pressure not to exceed 0.12 1 N/mm2, and the coefficient of friction of the friction surfaces is 0.12. the inner radius of the discs is 80 mm, and is .7 times the outer radius. Determine number of disc required to transmit the given power. Assume uniform wear condition.?
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A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial intensity of pressure not to exceed 0.12 1 N/mm2, and the coefficient of friction of the friction surfaces is 0.12. the inner radius of the discs is 80 mm, and is .7 times the outer radius. Determine number of disc required to transmit the given power. Assume uniform wear condition.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial intensity of pressure not to exceed 0.12 1 N/mm2, and the coefficient of friction of the friction surfaces is 0.12. the inner radius of the discs is 80 mm, and is .7 times the outer radius. Determine number of disc required to transmit the given power. Assume uniform wear condition.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A multiple – disc clutch transmits 50 kw of power at 1400 rom. Axial intensity of pressure not to exceed 0.12 1 N/mm2, and the coefficient of friction of the friction surfaces is 0.12. the inner radius of the discs is 80 mm, and is .7 times the outer radius. Determine number of disc required to transmit the given power. Assume uniform wear condition.?.
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