This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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a) i) Account for a suction effect phenomenon based on Bernoulli's Theorem. The suction effect, also known as the Bernoulli effect, occurs due to the principle of Bernoulli's Theorem. Bernoulli's theorem states that for an incompressible, non-viscous fluid in steady flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. When a fluid (like air) flows rapidly over a surface, its speed increases. According to Bernoulli's principle, this increase in speed leads to a decrease in the static pressure exerted by the fluid on that surface. The higher pressure in the slower-moving fluid region below or around the object then pushes the object towards the region of lower pressure, creating a