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Grade 12 · Engineering & design

Grade 12 Engineering & design practice

20 questions on materials. The answer key is a separate download.

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What is on the worksheet

  1. A rod has L₀=7 m and α=7×10⁻⁶ K⁻¹. For temperature rise 68 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  2. A rod has L₀=3 m and α=15×10⁻⁶ K⁻¹. For temperature rise 19 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  3. A rod has L₀=1 m and α=11×10⁻⁶ K⁻¹. For temperature rise 56 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  4. A rod has L₀=2 m and α=12×10⁻⁶ K⁻¹. For temperature rise 29 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  5. A rod has L₀=10 m and α=19×10⁻⁶ K⁻¹. For temperature rise 35 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  6. A rod has L₀=2 m and α=6×10⁻⁶ K⁻¹. For temperature rise 36 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  7. A rod has L₀=10 m and α=20×10⁻⁶ K⁻¹. For temperature rise 54 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  8. A rod has L₀=7 m and α=25×10⁻⁶ K⁻¹. For temperature rise 9 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  9. A rod has L₀=6 m and α=30×10⁻⁶ K⁻¹. For temperature rise 15 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  10. A rod has L₀=13 m and α=13×10⁻⁶ K⁻¹. For temperature rise 38 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  11. A rod has L₀=10 m and α=14×10⁻⁶ K⁻¹. For temperature rise 83 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  12. A rod has L₀=5 m and α=13×10⁻⁶ K⁻¹. For temperature rise 35 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  13. A rod has L₀=1 m and α=29×10⁻⁶ K⁻¹. For temperature rise 42 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  14. A rod has L₀=12 m and α=6×10⁻⁶ K⁻¹. For temperature rise 5 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  15. A rod has L₀=3 m and α=17×10⁻⁶ K⁻¹. For temperature rise 70 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  16. A rod has L₀=13 m and α=11×10⁻⁶ K⁻¹. For temperature rise 48 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  17. A rod has L₀=13 m and α=13×10⁻⁶ K⁻¹. For temperature rise 57 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  18. A rod has L₀=11 m and α=6×10⁻⁶ K⁻¹. For temperature rise 70 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  19. A rod has L₀=3 m and α=4×10⁻⁶ K⁻¹. For temperature rise 77 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

  20. A rod has L₀=6 m and α=15×10⁻⁶ K⁻¹. For temperature rise 42 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

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