Final answer:
The diameter at location 2 in a horizontal pipe carrying a fluid cannot be determined without additional information about the flow rate or the velocities at the two locations, as required by the continuity equation of fluid flow.
Step-by-step explanation:
The question relates to the principles of fluid dynamics, specifically the continuity equation that describes the flow of fluid through pipes of different diameters. The continuity equation states that the product of the cross-sectional area (A) and the velocity (v) is constant for an incompressible fluid.
Therefore, the quantity (A1v1) at location 1 must be equal to (A2v2) at location 2. Given the diameter at location 1, d1 = 6.69 cm, and assuming the flow rate and density remain constant, the diameter at location 2, d2, can be determined using the relationship A1v1 = A2v2 provided the velocity at location 2 (v2) is known.
However, to calculate or provide the diameter at location 2, we require information about the velocities at locations 1 and 2 or the flow rate through the pipe. Since this information is not provided in the question, the correct answer is: Cannot be determined without additional information.