Answer:
mass = 36.92 kg
Explanation:
We have given the torque [tex]\tau =12 N-m[/tex]
Radius of the disk r = 0.50 m
Angular acceleration [tex]\alpha =2.6rad/sec^2[/tex]
We know that torque is given by [tex]\tau =I\alpha[/tex] here I is moment of inertia and [tex]\alpha[/tex] is angular acceleration
So [tex]12=I\times 2.6[/tex]
[tex]I=\frac{12}{2.6}=4.6153kgm^2[/tex]
Moment of inertia is given by [tex]I=\frac{1}{2}mr^2[/tex]
[tex]4.6153=\frac{1}{2}m0.5^2[/tex]
m = 36.92 kg
The given answer is not matched with this answer but after calculation i got m =36.92 kg