Modeling occur to get flux =?
Learner try their model
Maybe they think
Flux = sin(t)
Then they see their model eqn is not like the simulated flux.
So they think
Oh maybe flux = sin( w*t) = sin (6.281*t)
Then they compare , still not quite right
They think and try getting closer to simulated flux
Until flux = 4.5*sin(6.281*t)
Then the eqn they hypothesize is same or close enough

And they move on to find emf =?

After different runs and more data collected

The trend of d(flux)/dt = - emf emerged from sufficient evidence.

That is my thinking on modeling. It is quite good to become like scientist is this way of inquiry and discovery

Thanks for your tips!