11.1 Describe the use of transformers/transition pieces in ventilation ducting - NSC Mechanical Technology Welding and Metalwork - Question 11 - 2022 - Paper 1

The type of hopper shown in FIGURE 11.2 is a square to rectangular hopper off center.

To find the true length A-2, we can use the Pythagorean theorem:

$A-2 = \sqrt{(500^2 + 400^2 + 500^2)}$

Calculating this, we have:

$A-2 = \sqrt{250000 + 160000 + 250000} = \sqrt{662400} \approx 812.4 \text{ mm}$

To find the true length B-2, we also apply the Pythagorean theorem:

$B-2 = \sqrt{(500^2 + 300^2 + 500^2)}$

Calculating this, we find:

$B-2 = \sqrt{250000 + 90000 + 250000} = \sqrt{590000} \approx 768.11 \text{ mm}$

The true length A-B can be calculated as follows:

$A - B = \frac{\pi \times D}{12}$

Here, D = 920 mm. Thus,

$A - B = \frac{\pi \times 920}{12} \approx 240.85 \text{ mm}$

The true length 0-1 is given by:

$0 - 1 = \frac{\pi \times D}{12}$

For D = 860 mm, we have:

$0 - 1 = \frac{\pi \times 860}{12} \approx 225.15 \text{ mm}$