# Torque of coreless DC micro motor

I would like to build a small two-wheeled robot similar to the one shown here.

In order to keep the robot small, I intend to use two coreless micro motors like the one shown bellow. The power source would be 2 AAA or AA batteries, in order to reach 3 V. These batteries would represent the bulk of the weight of the robot. The rest of the robot would be virtually weightless.

The specifications of one of such motor are:

Motor diameter: 6 mm
Motor length: 12 mm
Output shaft: 0.8 mm
Output shaft length: 4 mm
Voltage: 3 V
Current: 17 mA (stall 120 mA)
Frequency​​: 22000 RPM


My question is if small DC motors of this type have enough torque to even make the robot start moving. I have been unable to find torque info on these kind of motors and I suspect the weight of the robot could be too much for them to handle. Do you know the typical torque of such motor? Is there another type of (cheap) motor more appropriate for this project?

• These motors won't likely be strong enough. As you suspect they are fast, but torque is low. For 3\$ you can just try but you'll probably need some gearing. Just use the smallest possible wheels.
Jun 13 '15 at 21:30
• Take the "Voltage" and "Speed" specs from the page you linked, they give you the speed constant (Kv, rpm/v, or better radians/sec/volt) Some standard math from that gives you the torque constant (Nm/amp). Then you have the stall torque because they gave the spec for the stall current. I'm leaving a bit of digging for you to do... Hint : power = speed in radians/sec * torque, and also V * A)
– Brian Drummond
Jun 13 '15 at 21:33
• @BrianDrummond, thank you for your tip. From your tip I did the following deduction: P = τω, P = VA, then VA = τω and after some manipulation τ = VA/(2πf). Then I substituted V = 3 V, A = 120 mA, f = 367 Hz (22000 rmp) and obtained τ = 156 μN·m. Does this look right?
– Gonçalo Ribeiro
Jun 13 '15 at 22:01
• @Goncalo without doing the math myself I think you're on the right lines. Remember that's the stall torque - for rated torque use rated current (17mA or so, and remember some of that torque is lost in friction. I think you'll need to build some very small gearboxes ... feel like hacking watches?
– Brian Drummond
Jun 14 '15 at 8:27