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11.1 Ware lengte CG Die ware lengte FG: IK = 300 (2 eenhede) IH = 150 (1 eenheid) HK = 1/3 (1 eenheid) / √3 Die ware lengte FG is gelijk aan H’F - NSC Mechanical Technology Welding and Metalwork - Question 11 - 2020 - Paper 1

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11.1-Ware-lengte-CG--Die-ware-lengte-FG:-IK-=-300-(2-eenhede)-IH-=-150-(1-eenheid)-HK-=-1/3-(1-eenheid)-/-√3--Die-ware-lengte-FG-is-gelijk-aan-H’F-NSC Mechanical Technology Welding and Metalwork-Question 11-2020-Paper 1.png

11.1 Ware lengte CG Die ware lengte FG: IK = 300 (2 eenhede) IH = 150 (1 eenheid) HK = 1/3 (1 eenheid) / √3 Die ware lengte FG is gelijk aan H’F. $$CG^2 = CF^2 + ... show full transcript

Worked Solution & Example Answer:11.1 Ware lengte CG Die ware lengte FG: IK = 300 (2 eenhede) IH = 150 (1 eenheid) HK = 1/3 (1 eenheid) / √3 Die ware lengte FG is gelijk aan H’F - NSC Mechanical Technology Welding and Metalwork - Question 11 - 2020 - Paper 1

Step 1

Ware lengte CG

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Answer

To calculate the length CG, we first determine the length FG using the formula:

CG2=CF2+FG2CG^2 = CF^2 + FG^2

Given:

  • IK = 300 (2 eenhede)
  • IH = 150 (1 eenheid)
  • HK = 1/3 (1 eenheid) / √3

We find:

  • FG = 100mm
  • Then calculating:
    • CG=170000CG = \sqrt{170000}
    • After applying the square root and adding 412.31 and 800, we conclude that:

The final value for CG is 900 mm.

Step 2

Ware lengte CI

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Answer

The next step is to find the lengths CE and EI in triangle CEI: For CE: CE=CFEFCE = CF - EF Given EF = 150, we have:

CE=400150=250mmCE = 400 - 150 = 250mm

Next, for EI: Using the relationship for HK: HK=150/3=259.81mmHK = 150 / √3 = 259.81mm We then find: FH=FKHK=400259.81=140,19mmFH = FK - HK = 400 - 259.81 = 140,19mm

Now we can calculate CI: CI2=CE2+EI2CI^2 = CE^2 + EI^2

Substituting our values in:

  • CE=250mmCE = 250mm
  • EI=140.19mmEI = 140.19mm

Then using the Pythagorean theorem: CI=CI2+(Loodregtehoogte)2CI = \sqrt{C'I^2 + (Loodregte hoogte)^2} Finally, we find CI to be approximately 849.79 mm.

Step 3

Ware lengte JI

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Answer

To find the length JI as a twelfth of the perimeter, we use the formula:

JI=extOmtrek12JI = \frac{ ext{Omtrek}}{12}

If the perimeter (Omtrek) is given as 1884.9, Then: JI=1884,912157,08mmJI = \frac{1884,9}{12} \\ ≈ 157,08mm

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