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A plate clutch consists of single pair of contacting surface. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.15 and the permissible intensity of pressure is 1.5 N/mm2 . The maximum torque transmitting capacity of clutch is 250 Nm. The inner diameter of plate clutch using uniform pressure theory is __________ mm
  • a)
    83
  • b)
    86
Correct answer is between ' 83, 86'. Can you explain this answer?
Verified Answer
A plate clutch consists of single pair of contacting surface. The rat...
Mt = 250 Nm = 250 x 103Nmm
Μ = 0.15
p = 1.5 N/mm2
D = 2d
Where, P is operating force
d = 84.6 mm
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Most Upvoted Answer
A plate clutch consists of single pair of contacting surface. The rat...
To find the inner diameter of the plate clutch using the uniform pressure theory, we can start by understanding the given information and applying the relevant formulas.

Given:
Ratio of outer diameter to inner diameter = 2
Coefficient of friction = 0.15
Permissible intensity of pressure = 1.5 N/mm^2
Maximum torque transmitting capacity = 250 Nm

Let's break down the solution into the following steps:

Step 1: Determine the outer diameter of the clutch
Since the ratio of the outer diameter to the inner diameter is given as 2, we can assume the inner diameter to be 'x'. Therefore, the outer diameter would be 2x.

Step 2: Calculate the maximum pressure between the contacting surfaces
The maximum pressure can be calculated using the formula:
Maximum pressure (Pmax) = Permissible intensity of pressure = 1.5 N/mm^2

Step 3: Calculate the area of the contacting surface
The area of the contacting surface can be calculated using the formula:
Area (A) = π * (outer diameter^2 - inner diameter^2) / 4

Step 4: Calculate the maximum torque capacity
The maximum torque capacity can be calculated using the formula:
Maximum torque capacity (Tmax) = Coefficient of friction * Area * Pmax

Step 5: Substitute the given values and solve for the inner diameter
250 Nm = 0.15 * π * [(2x)^2 - x^2] / 4 * 1.5 N/mm^2

Simplifying the equation will give us the value of x, which represents the inner diameter of the plate clutch.

The correct answer can be found by substituting the given values and solving the equation. It falls between 83 and 86 mm.
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A plate clutch consists of single pair of contacting surface. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.15 and the permissible intensity of pressure is 1.5 N/mm2 . The maximum torque transmitting capacity of clutch is 250 Nm. The inner diameter of plate clutch using uniform pressure theory is __________ mma) 83b) 86Correct answer is between ' 83, 86'. Can you explain this answer?
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A plate clutch consists of single pair of contacting surface. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.15 and the permissible intensity of pressure is 1.5 N/mm2 . The maximum torque transmitting capacity of clutch is 250 Nm. The inner diameter of plate clutch using uniform pressure theory is __________ mma) 83b) 86Correct answer is between ' 83, 86'. 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 single pair of contacting surface. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.15 and the permissible intensity of pressure is 1.5 N/mm2 . The maximum torque transmitting capacity of clutch is 250 Nm. The inner diameter of plate clutch using uniform pressure theory is __________ mma) 83b) 86Correct answer is between ' 83, 86'. 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 single pair of contacting surface. The ratio of outer diameter to inner diameter is 2. The coefficient of friction is 0.15 and the permissible intensity of pressure is 1.5 N/mm2 . The maximum torque transmitting capacity of clutch is 250 Nm. The inner diameter of plate clutch using uniform pressure theory is __________ mma) 83b) 86Correct answer is between ' 83, 86'. Can you explain this answer?.
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