[Chris Hibner]

This calculation is actually very easy using the work-energy thorem.

Power = Work / Time

Work = weight * height

Therefore:

Time = (weight * height) / Power


Example:

Motor power: 8.43 W (Tetrix motor)
Efficiency: 0.85
Weight: 5 lb * 4.4545 N/lb = 22.27 N
Height to climb: 2.1 m
assume gearing for peak power.

then:

Time = (22.27 N * 2.1 m) / (8.43 W * 0.85)

Time = 6.53 sec

This is the FASTEST time. If you make the wheel big enough that the torque on the motor causes the motor to move away from the peak power point, the minibot will climb SLOWER, not faster. In other words, bigger wheels aren't always better.