The Pololu website shows a 12v version of the same motor - why not use that? Avoid using a boost converter if you can as they all waste a certain amount of energy.
If the motor runs for 20 minutes and draws a running current of (say) 500mA then it would require 500 * 20 / 60 = 166mAh so your 3400mAh battery would have plenty of capacity.
Assuming I will use the stall current(which is the current need to be run to use the max torque - correct?),
My calculation in similar to what you did - 6000mA * 20 / 60 = 2000mAh meaning I have some battery left still for other components.
As to why not the other 12V motors - I need the highest torque I can get - which this motor has.
The Boost Converter will be an issue however, it looks like the maximum output (with a 12vdc input) will be approximately 2,200mAh which will not run the motor at full load.
Additionally the total input current will be approximately 7,200mAh including the 20% loss listed on the website, this does not include any other loads connected to the battery (controller, sensors, actuators etc), the maximum input current is listed as 5 amps.
Are you referring to the first converter I put a link to? because I corrected it to this one:
Pololu - 4.5-20V Fine-Adjust Step-Up Voltage Regulator U3V70A which has 8A max output, is this ok?
I did not understand all the way the number you put out 2200mAh for the motor output and 7200mAh for the input, could you please elaborate?
Can you tell us the application of you project?
How often will you be recharging the batteries?
A little difficult to explain but i'll try
This is a prototype for someone with a spastic arm, I want to put a motor(with other mechanism attached) that will help the person open his arm in contrast to the muscles "will".
For that, it will be used only a few times a day, and will be charged each night.