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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.4 Rotational Inertia
5.1 Rotational Kinematics
AdvancedMCQGraphicalMathematicalConceptual18k
Apparatus for measuring angular displacement of an accelerating flywheel.
Apparatus for measuring angular displacement of an accelerating flywheel.
A student performs an experiment to determine the rotational inertia \(I\) of a rigid flywheel that rotates about a fixed, frictionless axle. The flywheel is initially rotating with an unknown, non-zero initial angular speed \(\omega_0\). Starting at time \(t = 0\), a known constant net torque \(\tau_0\) is applied to the flywheel in the direction of rotation, and an optical sensor measures the angular displacement \(\Delta\theta\) from its orientation at \(t = 0\) as a function of time \(t\). Which of the following pairs of quantities, when plotted, will produce a linear graph, and what is the correct expression for determining the rotational inertia \(I\) from the slope \(m\) of the best-fit line?

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