If a wire has a resistance of two ohms per 1,000 ft, what will be the resistance of a 1,500 ft long piece of this wire?

To determine the resistance of a 1,500 ft long piece of wire that has a resistance of two ohms per 1,000 ft, you first need to calculate the resistance per foot.

Since the wire has a resistance of 2 ohms over 1,000 feet, you can find the resistance for each foot of wire by dividing the total resistance by the total length. This gives you a resistance rate of 0.002 ohms per foot (2 ohms / 1,000 ft).

Next, you multiply the resistance per foot by the length of the wire you are considering, which is 1,500 ft in this case:

Resistance = (Resistance per foot) × (Length in feet) = 0.002 ohms/ft × 1,500 ft = 3 ohms.

Therefore, the resistance of a 1,500 ft long piece of this wire is 3 ohms. This calculation illustrates how to scale resistance based on wire length, which is essential for understanding electrical properties in practical applications like the work expected of an MTA Transit Electrical Helper.