3. a rotating load is connected to a linear dc motor (see example 2.15 from text) with negligible field inductance. a test results in the output load reaching a speed of 1 rad/sec within ½ sec when a constant input of 100 v is applied to the motor terminals. the output steady-state speed from the same test is found to be 2 rad/sec. determine the transfer function from applied voltage va(s) to shaft angle (s).