[mechE131]

I would reccomend someone go and look back at their statics, dynamics, mechatronics and material science textbooks; these calculations are a little on the flimsy side.

If I were a student, I would start with a free body diagram and account for all of the forces involved. Then factor the motor in with all included drivetrain factors.

You must then base a more practical time compared to your calculated "theoretical" time. Factor things in like manufacturing tolerances, material fatigue, material temperature change, etc. and read up on how they would effect your climb rate.

Then, after your minibot is built, compare the two calculated times with the experimental time; the time it actually takes the minibot to assend to the top of the both. Run several trials and make improvements.