With usual notations, develop the torque equation of the D.C motor.

6. B] With usual notations, develop the torque equation of the D.C motor.

Answer:

The turning or twisting force about an axis is called torque.
Consider a wheel of radius R meters acted upon by a circumferential force F newtons.

The wheel is rotating at a speed of N rpm then its angular speed is

so work done in one revolution is

W= F x distance travelled in one revolution = F x 2 π R

Therefore, P = T x ω watts

Let Ta be the gross torque developed by the armature of the motor. It is also called armature torque.
The gross mechanical power developed in the armature is EbIa .
So if the speed of the motor is N rpm, then

Power in armature = Armature torque x ω

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