Final answer:
To calculate the number of electrons that move through a cross section of the aluminum wire each day, you would need to know the current. Without that information, the calculation cannot be done.
Step-by-step explanation:
To calculate the number of electrons that move through a cross section of the aluminum wire each day, we first need to determine the area of the cross section. The diameter of the wire is given as 1.6 mm, so the radius would be half of that, which is 0.8 mm or 0.0008 m. Using the formula for the area of a circle, A = π * r^2, we can calculate the cross-sectional area as A = 3.14 * (0.0008 m)^2 = 0.00201 m^2.
Next, we need to calculate the velocity of the electrons, which is given as 2.0 * 10^-4 m/s.
Now, we can use the formula I = n * A * v, where I is the current, n is the number of electrons per unit volume, A is the cross-sectional area, and v is the velocity of the electrons. Rearranging the formula to solve for n, we have n = I / (A * v).
Since we know the cross-sectional area and velocity, we need to find the current. However, the question does not provide the current value, so we cannot calculate the number of electrons moving through the wire each day.