Answer:
12 N-m
Explanation:
The dc motor is operating at 24 V that is its terminal voltage V =24 V
Armature resistance [tex]R_a[/tex] = 0.2 ohm
No load speed = 240 radian /sec
For motor we know that [tex]V=E_b+iR_a[/tex] as the motor is on no load so [tex]E_b=0[/tex] so [tex]i=\frac{V}{R_a}=\frac{24}{0.2}=120A[/tex]
Power developed in the motor [tex]P=Vi=120\times 24=2880W[/tex]
Now we know that power = torque× angular speed
So [tex]2880=\tau \times 240[/tex]
[tex]\tau =\frac{2880}{240}=12N-m[/tex]
