I am planning to use a 12 v 7.5degree 36 ohm stepper motor for building a line tracer. Please help me with the torque. Will it be able to provide the torque that is required.
The motor is purchased from airpax(p/n sk82713).
7.5 degree stepper is not the best for what you want do. As 7.5 is a huge step and considering 1.8 degree is a standard stepper motor, i would aim for something like that.
It is much easier to take 10 steps to achieve a position than 2 and a bit steps, unless your driver is setup for microstepping you will have trouble getting the accuracy with the 7.5 degree motor.
There's no way to answer this on the info given, so I'll stick to basics: Torque is a matter of mass * acceleration, after overcoming friction. Keep the moving assemblies as light as possible, only what's Necessary. I'm thinking your line follower is a flatbed plotter type mech, and therefore should only need optical sensors in the carriage head. So, depending on size & machine precision, your motor may work on 1 or either axis.