Power (Watts) = Torque (Newton-meters) x Angular Speed (radians per second)
Here's why you can't solve this with just the given data:
* 12 Watts: This tells us the rate at which the motor can do work.
* 10 RPM: This is the rotational speed. We need to convert this to radians per second. 10 RPM is approximately 1.05 radians per second (10 RPM * 2π/60).
We have the power and the angular speed, but we're missing the torque. To find the torque, we need to rearrange the formula:
Torque = Power / Angular Speed
Therefore, to calculate the torque, we'd use:
Torque ≈ 12 Watts / 1.05 rad/s ≈ 11.43 Newton-meters
However, this calculation is *ideal*. Real-world gear motors have inefficiencies (friction, losses in the gearbox etc.). The actual torque the motor produces will be *less* than this calculated value. The manufacturer's specifications for the motor are crucial to know the real-world torque it can provide at 10 RPM. The datasheet will typically specify the torque-speed curve which will show you how torque changes with RPM.
In short: You need the motor's specifications (a datasheet) to determine its maximum torque at 10 RPM. The 11.43 Nm is a theoretical maximum, significantly higher than the actual value.
