rough calculation…
We decided we wanted it to take a few seconds to climb. This is because we want it to happen quickly, but not so quickly that we can’t control it.
We figured our robot would be relatively light this year, because we are not playing with fuel, so there will be only two mechanisms, and we want the robot to drive relatively quickly. Wild guess, 100 lbs total robot weight with bumpers and battery.
The design we came up with (based on a student’s wonderful idea) results in a winch drum of about 3" diameter. That means we will climb about a foot with every rotation of the drum. If we need to climb 3 feet, this will give us a drum speed of about one revolution per second (60 rpm) for a climb that takes about three seconds, since the robot will be just under two feet tall, and the sensor is about five feet off the floor.
Looking at motors for this type of thing, we want reliability, and relatively low RPM, and lots of torque. Weight is not a big deal, since our robot will be relatively light. A CIM is the natural choice. (we only intend to have four of them in our drivetrain). To get the 4000 RPM (at light load) motor to turn the drum at 60 rpm, we need a reduction of about 60:1. We have some two stage AM gearboxes that give us about 12:1 reduction, so we need another 5:1 reduction. A chain system is easy to make, and we have some 60 tooth sprockets, and some 12 tooth sprockets…that gives us just what we want!
Now, we need to see if it will have sufficient torque to climb. Motor makes 1.78 ft lbs torque at stall, so at the speed we want to run it it will make about half a foot pound torque. With the 60:1 torque multiplication, that gives us 30 ft lbs. the 2" moment arm makes that about 180 lbs pulling force where the rope meets the drum.
now, to build it and see if it works.