Go through Problem 6.1 step-by-step at some point [after you get back
your graded homework], but we'll set it completely aside now to solve Problem 7.1.
We can reduce the system from the last page:
So that the transfer function from i(s) to omega_t(s) is just a generic first-order relationship:
Now, you just need to solve for K and T:
You are given:
the break frequency is 1 Hz
1 amp result in a steady-stead angular velocity of 0.5 rev/sec
You shouldn't have trouble; just remember -
Convert between rad/sec and Hertz, as appropriate (or not).
Keep straight what's what: T=tau (the time constant), while breakpoint frequency is 1/T.