Final answer:
To calculate the resistance of a 51.7 m aluminum wire, information about the wire's cross-sectional area and the resistivity of aluminum is required. Without this, the resistance cannot be accurately determined based on the given question alone.
Step-by-step explanation:
The student has asked about the resistance of a 51.7 m long aluminum wire, but the question doesn't provide enough information to calculate it. To determine resistance, one would need to know the cross-sectional area and the resistivity of the material.
For instance, using the formula R = ρL/A (where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area).
With the categorical data provided about aluminum power transmission lines and their resistivity per kilometer and mass, as well as the comparatives between aluminum and copper in terms of their heating time and efficiency, a more specific question is needed to solve for the resistance r of a 51.7 m long aluminum line.