Answer:
0.113097335529 Nm
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
a = Acceleration
I = Moment of inertia = 0.3 kgm²
[tex]\omega_f=\omega_i+\alpha t\\\Rightarrow \alpha=\dfrac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha=\dfrac{0-0.72\times 2\pi}{12}\\\Rightarrow \alpha=-0.376991118431\ rad/s^2[/tex]
Torque is given by
[tex]\tau=I\alpha\\\Rightarrow \tau=0.3\times (-0.376991118431)\\\Rightarrow \tau=-0.113097335529\ Nm[/tex]
The magnitude of torque is 0.113097335529 Nm