Torque or moment or moment of force is the tendency of a force to rotate or move an object about an axis. A force is a push or pull, likewise, torque is a twist to an object. Mathematically, torque, T = F × r.

#### Let- T
_{g} = armature or gross torque (N-m) = Force × radius - r = radius of the armature in m
- N = speed of the armature in rpm = N/60 rps

*Work done/revolution = force × distance moved per revolution*
The expression for voltage in dc motor is given by,
*Electrical input = electrical power equivalent to mechanical power developed + armature copper loss*
Mechanical power developed,
Since equation (1) = equation (2)
Hence torque of a dc motor is directly proportional to the flux/pole and armature current.

_{g}= armature or gross torque (N-m) = Force × radius*Work done/revolution = force × distance moved per revolution*

*Electrical input = electrical power equivalent to mechanical power developed + armature copper loss*

## Relation between Armature Torque (T_{a}), Shaft Torque (T_{sh}), and Loss Torque (T_{Loss}) :

#### We know,
The motor output is,
*Loss Torque = Armature Torque - Shaft Torque*

For more detailed explanation check out the below video -

*Loss Torque = Armature Torque - Shaft Torque*