I'm doing a homework problem that involves motor characteristic graphs. For this problem, I have a motor with stall torque of 8 N-cm and a no-load angular velocity of 80 rad/s. The motor powers a 4-wheel drive robot that requires an input of 60 N-cm from the motor to power all the wheels. Additionally, the robot has a transmission with a gear ratio R = 20 and is frictionless.
I need to find the point where the transmission output line intersects the horizontal "wheel requirement" line (= 60 N-cm) so that I can find the velocity of the robot at this point (called the operating point).
The issue I'm having is that I don't know the equation of the transmission line. All I know is that the \$t(0) = t_s\$ (read as "torque at angular velocity of 0 rad/s = stall torque"), \$t(w_n) = 0\$ (read as "torque at no-load speed = 0 N-cm"), and that \$t(w_i) = 60 \$ N-cm (read as "torque at angular velocity of interest = 60 N-cm"). Once I know the stall torque and no-load speed of the transmission output line, I can figure out the equation of the line and the angular velocity at the operating point.