Answer:
c. 25 rpm
Explanation:
The inertia of both disk is the same so
[tex]I_1=I_2[/tex]
[tex]I_1*w_{1i}+I_2*w_{2i}=I_1*w_{1f}+I_2*w_{2f}[/tex]
[tex]I*(w_{1i}+w_{2i})=I*(w_{1f}+w_{2f})[/tex]
[tex]w_{1f}=w_{2f}=w_f[/tex]
[tex]w_{1f}+w_{2f}=2w_f[/tex]
[tex]w_f=\frac{w_{1i}+w_{i2}}{2}[/tex]
[tex]w_f=\frac{30rpm+20rpm}{2}[/tex]
[tex]w_f=\frac{50rpm}{2}[/tex]
[tex]w_f=25rpm[/tex]
he final angular momentum is equal to 25rpm
Data:
From the conservation of angular momentum, the initial angular momentum is equal to the final angular momentum.
[tex]L_1 = L_2\\I_1\omega_1 + I_2 \omega_2 = I' \omega'\\I(\omega_1 + \omega_2) = 2I\omega'\\\omega' = \frac{\omega_1 + \omega_2}{2}[/tex]
Let's substitute the values
[tex]\omega ' = \frac{30+20}{2} = 25rpm[/tex]
The final angular momentum is equal to 25rpm
Learn more on conservation of angular momentum here;
https://brainly.com/question/10124070
