Calculation for the distance between maximum swings in the drift distance of electrons

I am currently studying the textbook Practical Electronics for Inventors, Fourth Edition, by Scherz and Monk. In section 2.4.1 Applying a Voltage, the authors have written the following:

In the case of alternating current, the field reverses directions in a sinusoidal fashion, causing the drift velocity component of electrons to swish back and forth. If the alternating current has a frequency of 60 Hz, the velocity component would be vibrating back and forth 60 times a second. If our maximum drift velocity during an ac cycle is 0.002 mm/s, we could roughly determine that the distance between maximum swings in the drift distance would be about 0.00045 mm. Of course, this doesn’t mean that electrons are fixed in an oscillatory position. It means only that the drift displacement component of electrons is — if there is such a notion. Recall that an electron’s overall motion is quite random and its actual displacement quite large, due to the thermal effects.

I'm wondering how the authors concluded that the distance between maximum swings in the drift distance would be about 0.00045 mm? What is the calculation that was done here?

I would appreciate it if someone would please take the time to clarify this.

• The information you have provided in your question is not sufficient to verify those results, in order to calculate the drift velocity in a wire you need to know the current in the wire, the diameter of the wire and the material of the wire, as the drift velocity is determined by the current in the wire in amps and the number of free electrons in the wire per length unit, which can be calculated if you know the diameter of the wire and the material. All these are parameters that you have not given in your question or in the picture.
– user173292
Commented Jan 1, 2020 at 22:26
• @ThePointer You can see some thoughts here. Just FYI. Not an answer.
– jonk
Commented Jan 2, 2020 at 6:53
• According to my calculations for 0.002 mm/s maximum velocity at 60Hz the amplitude should be 0.002 / 2pi*60 = 0.0000053mm. I have no idea how they got a value 85 times higher. Commented Jan 2, 2020 at 10:17