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Not a question about completing homework here, but I'm a teacher looking to create a realistic engineering question for an assignment.

I have an engineering scenario I've set for the assignment which is a junior engineer working for a marine engineering company so all of the questions on my assignment are relating to the development of a prototype marine research vessel.

I'm a bit stumped on the section for vectors. I will have the standard ship going one way, current going another... BUT...

I also want to cover cross product and dot product.

For cross product, I'd like to ask a question relating to the ship's diesel-electric propellers. In particular, I'd like to ask a question about the force exerted to rotate the prop shaft on an azimuth pod supplied with 6.6kV of AC power.

I believe the equation I want to use is this one:

##\overrightarrow{F}=q\overrightarrow{v}\times \overrightarrow{B}##

Now, my problem is, I don't know much about motors in a real-world context so I'm not sure what vector values to use for this question to make it realistic. Does anyone have any suggestions? I can't seem to find any useful information about how strong the magnets in the motor would be or what velocity to expect the current to move through the coils. I know I don't have details about the wire gauges involved but a ballpark figure would be sufficient.

Any suggestions for dot product questions would also be great!

Also, it's 2:30 in the morning so I could be way off base with this all together :)

Any suggestions would be greatly helpful!

Many thanks!

Chris