Final answer:
The equation to find the receiving pressure P2 in a chamber can vary depending on the context but based on Pascal's principle, P1 = P2 when the fluid is in equilibrium. For fluid flow situations, the equation P2 - P1 = RQ takes into account the flow rate Q and resistance R. For specific fluid dynamic cases, other factors such as viscosity and length also affect the equation.
Step-by-step explanation:
The equation to find the receiving pressure in a chamber, P2, can depend on the context of the problem. According to Pascal's principle, if P1 is the pressure at one point of a fluid in equilibrium, then P2 is the pressure at another point in the fluid, and we have P1=P2 when there is no additional force or height difference affecting the pressure. However, if we have a more complex situation, such as a fluid flowing through a pipe, the pressure might change according to other factors such as flow rate or resistance.
In one scenario, if we consider a situation with flow and resistance, the equation P2 - P1 = RQ is used, where R is the resistance of the water main and Q is the flow rate. During periods of heavy flow, Q is large, thus requiring P2 − P1 to also be large, which can cause P1, the pressure at one end, to decrease.
Alternatively, when considering fluid dynamics and needles, other factors like viscosity and length of the needle may come into play. In such instances, the formula (P₂ - P₁) är¹ ≠ 8nl may apply, where 'l' is the length and 'n' is the viscosity of the fluid.