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The width of a frictional material on a multiple disc clutch is (r2 -r1) and is equal to half of the maximum radius (R); The maximum diameter of the coupling is not to exceed 162 mm. What is the inside diameter in mm?

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oladayoademosu

Since the width of a frictional material on a multiple disc clutch is (r₂ - r₁)  the inside diameter of the multiple disc clutch is 81 mm

How to calculate the inside diameter multiple disc clutch?

Let

  • w = width of frictional material
  • r = inside radius multiple disc clutch and
  • r = outside radius multiple disc clutch

Given that the width of a frictional material on a multiple disc clutch is (r₂ - r₁) and is equal to half of the maximum radius (R), we have that

w = r₂ - r₁  (1)and

w = R/2 (2)

Since R = r₂

w = r₂/2   (3)

Equating equations (1) and (3), we have

r₂ - r₁ = r₂/2  

r₁ = r₂ - r₂/2  

r₁ = r₂/2  

Since the maximum diameter d₂ of the coupling is not to exceed 162 mm, we have that

r₂ = d₂/2

So, r₁ = r₂/2  

r₁ = d₂/4

r₁ = 162 mm/4  

r₁ = 40.5 mm

Now the inside diameter d₁ = 2r₁

So, d₁ = 2 × 40.5 mm

= 81 mm

So, the inside diameter of the multiple disc clutch is 81 mm

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