FORMULAS
Fun fact is we
have learned a bunch of the formulas needed to
make sure you stay safe while building the
machines of tomorrow in our physics class this
semester!
This one is used
to calculate the magnetic field on a long straight
wire or the rails of the gun. The first set
of terms are a constant so no need to go hunting
for numbers to put in. The second part
though you do need some numbers for your specific
system. You will need the radius of the wire
and how much current you have going through your
system.
Here we can use
the magnetic field calculation, the current being
delivered, and the length of our rails to get the
magnitude of the force for our projectile.
Now these two
can give you a rough idea of what you are looking
for, but as always a more accurate result needs
some integration, inductance values, resistance
values, and to help you out a computer simulation
for the precise answers.
However, if you
want to run through a few on your own here they
are:
Here we
can calculate the resistance and inductance as the
projectile is traveling down the barrel.
Obviously we
want to know the velocity of the projectile as it
moves down and out.
Then lumping
some of our things together we can get the overall
force.