Torque:

$\overline{){\mathit{\tau}}{\mathbf{=}}{\mathit{\alpha}}{\mathit{I}}}$ where I is the moment of inertia.

α = Δω/Δt = (ω_{f} - ω_{i})/(t - t_{0})

ω_{f} is the final angular velocity, ω_{i} is the initial angular velocity, t is the final time and t_{0} is the initial time.

A student conducts an experiment to determine the relationship between applied torque and the change in angular velocity. The student uses the apparatus shown in the figure above, consisting of two disks that are glued together and mounted on a horizontal axle. Blocks of varying mass are hung from a string would around the smaller disk. The blocks are released from rest, exerting different torques on the disks, and are allowed to fall a fixed distance. For each block, the time of fall t and the final angular velocity are measured. There is considerable friction between the disks and the axle. Which of the following best represents a plot that can be obtained from the student's data?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Torque & Acceleration (Rotational Dynamics) concept. You can view video lessons to learn Torque & Acceleration (Rotational Dynamics). Or if you need more Torque & Acceleration (Rotational Dynamics) practice, you can also practice Torque & Acceleration (Rotational Dynamics) practice problems.

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