As you stroll the isles of the local flea market, you come across a booth stocked with surplus permanent magnet brushed DC motors. Your eyes widen with excitement as you notice a particularly shiny gear motor priced at just $1.50. Whipping your trusty multi meter out of its belt holster, you measure the winding resistance to be 18.9. Next, you pull a small torque wrench out of your fanny pack and measure the stall torque, which is 2.8 Nm when powered by the 12V battery you keep handy for such occasions. The gear is marked “100:1.” the application you have in mind for the motor requires that the frictional losses in the motor and gearbox are negligible. Determine the appropriateness of the motor by answering the following:
A) Will the motor and gear head meet the requirements for torque and speed at 15V? If not what drive voltage would enable you to meet the design requirements?
B) What is the current required to operate at the design point?