Pulling on the cord, exerting a force of 15 N for 2 s and then 25 N for 3 s, and measuring the final angular velocity of the disk.
[tex]\tau = \frac{dL}{dt} \\\\[/tex]
[tex]Fr = \frac{\Delta L}{\Delta t} \\\\Fr = \frac{\Delta m\omega ^2r}{\Delta t} \\\\F = \frac{\Delta m\omega ^2}{\Delta t}[/tex]
[tex]F = \frac{m\Delta \omega ^2}{\Delta t} \\\\F = \frac{m(\omega _f^2 - \omega _i^2)}{t_2 - t_1}[/tex]
where;
[tex]\omega _i[/tex] is the initial angular velocity
[tex]\omega _f[/tex] is the final angular velocity
Since the disk is initial at rest, applying a force such as 15 N gives the disk its first angular velocity and applying 25 N force for 3 seconds gives the disk its final angular velocity.
Thus, the best procedure to determine the relationship between applied torque and the resulting change in angular momentum of the disk is
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