To solve this problem it is necessary to apply the concepts related to Torque as a function of the Force and the distance radius where it is applied.
By definition the Torque can be expressed as
[tex]\tau = F\times r[/tex]
Where
F = Force exerted
r = Radius
Substituting we have to
[tex]\tau = (1.75*10^3)(0.0305)[/tex]
[tex]\tau = 53.375N\cdot m[/tex]
Through the second definition of the rotational Torque we can then find the moment of inertia for which we have to
[tex]\tau = I\alpha[/tex]
Where
I = Moment of inertia
[tex]\alpha =[/tex] Angular acceleration
Replacing
[tex]53.373 = I*115[/tex]
[tex]I = 0.4641Kg \cdot m^2[/tex]
Therefore the moment of inertia is
