To solve the problem it is necessary to apply all the concepts related to the definition of Torque, both linear and angular.
From the linear definition the torque is defined as

Where,
F = Force
r = radius
On the other hand we have that,

Where,
I = Moment of inertia
Angular Acceleration
Using the first equation we can find the Torque, there,



Therefore the Inertia moment can be calculated from the second equation,




Therefore the value of moment of inertia is
