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5.1 State TWO disadvantages of cutting tapers on a centre lathe machine using the compound slide method - NSC Mechanical Technology Fitting and Machining - Question 5 - 2023 - Paper 1

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5.1 State TWO disadvantages of cutting tapers on a centre lathe machine using the compound slide method. 5.2 FIGURE 5.2 below shows a diagram of a taper with an inc... show full transcript

Worked Solution & Example Answer:5.1 State TWO disadvantages of cutting tapers on a centre lathe machine using the compound slide method - NSC Mechanical Technology Fitting and Machining - Question 5 - 2023 - Paper 1

Step 1

State TWO disadvantages of cutting tapers on a centre lathe machine using the compound slide method.

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Answer

  1. Only short tapers can be cut, limiting the versatility of the machining operations.
  2. The method causes fatigue to the operator due to the manual adjustments required, which may lead to reduced work efficiency.

Step 2

Calculate the length of the taper.

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Answer

To find the length of the taper ( ll ), we can use the tangent of half the included angle:

an rac{θ}{2} = rac{D-d}{2l}

Where:

  • D=78mmD = 78 \, mm
  • d=55mmd = 55 \, mm

First, calculate:

  • Dd=7855=23mmD - d = 78 - 55 = 23 \, mm

Now, substituting values:

2l = rac{D - d}{ an rac{8°}{2}} ightarrow 2l = rac{23}{0.0699} ightarrow l = rac{328.9153283}{2} ightarrow l ≈ 164.46 \, mm

Step 3

Calculate the set-over of the tailstock required to cut the taper in FIGURE 5.2.

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Answer

The formula for the tailstock set-over is given by:

{Set-over} = rac{L(D-d)}{2l}

Where:

  • L=284.46mmL = 284.46 \, mm
  • D=78mmD = 78 \, mm
  • d=55mmd = 55 \, mm

Calculate:

Set-over = rac{284.46(78-55)}{2l} = rac{284.46(23)}{2(164.46)} ightarrow Set-over ≈ 19.89 \, mm

Step 4

Calculate the width.

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Answer

Using the formula:

Width = rac{D}{4}

Substituting:

  • D=83mmD = 83 \, mm

Thus:

Width = rac{83}{4} = 20.75 \, mm

Step 5

Calculate the thickness.

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Answer

The formula for thickness is:

Thickness = rac{D}{6}

Using:

  • D=83mmD = 83 \, mm

Therefore:

Thickness = rac{83}{6} ightarrow 13.83 \, mm

Step 6

Calculate the length.

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Answer

To find the length, use:

Length=1.5imesDLength = 1.5 imes D

Using:

  • D=83mmD = 83 \, mm

Thus:

Length=1.5imes83=124.5mmLength = 1.5 imes 83 = 124.5 \, mm

Step 7

Label A and B in FIGURE 5.4 below showing the straddle milling process.

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Answer

A. Side and face cutter / Milling cutters. B. Arbor / Spacers / Spindle / Axle.

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