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A multi-disc friction clutch is used for transmitting torque of 100 Nm. The permissible intensity of pressure on the friction lining is 600 kPa. The coefficient of friction is 0.2. The outer and inner diameter of friction lining is 100 mm and 50 mm respectively. Assuming uniform wear theory, the required number of discs are
  • a)
    5
  • b)
    8
  • c)
    6
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A multi-disc friction clutch is used for transmitting torque of 100 N...
The clamping force,
Number of pair of contracting surfaces,
= 6
Number of discs = z + 1 = 6 + 1 = 7
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Most Upvoted Answer
A multi-disc friction clutch is used for transmitting torque of 100 N...
Given:
Torque to be transmitted (T) = 100 Nm
Permissible intensity of pressure on friction lining (P) = 600 kPa
Coefficient of friction (μ) = 0.2
Outer diameter of friction lining (D1) = 100 mm
Inner diameter of friction lining (D2) = 50 mm

Formula:
The torque transmitted by a multi-disc friction clutch is given by the formula:
T = (μPπ/4)(D1^2 - D2^2) * N
where N is the number of discs.

Calculation:
Substituting the given values into the formula, we have:
100 = (0.2 * 600 * π/4)(100^2 - 50^2) * N

Simplifying the equation:
100 = (0.2 * 600 * π/4)(10000 - 2500) * N
100 = 0.2 * 600 * π/4 * 7500 * N
100 = 0.2 * 600 * 7500 * π/4 * N

Simplifying further, we find:
N = 100 / (0.2 * 600 * 7500 * π/4)
N = 100 / (0.2 * 600 * 7500 * 3.14/4)
N = 100 / (0.2 * 600 * 7500 * 0.785)
N = 100 / (7065000)
N ≈ 0.000014

Since we cannot have a fraction of a disc, we round off the value of N to the nearest whole number, which is 1.

Therefore, the required number of discs is 1.

Conclusion:
The required number of discs in the multi-disc friction clutch is 1.
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A multi-disc friction clutch is used for transmitting torque of 100 Nm. The permissible intensity of pressure on the friction lining is 600 kPa. The coefficient of friction is 0.2. The outer and inner diameter of friction lining is 100 mm and 50 mm respectively. Assuming uniform wear theory, the required number of discs area) 5b) 8c) 6d) 7Correct answer is option 'D'. Can you explain this answer?
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