You place a magnetic compass on a horizontal surface, allow the needle to settle, and then give the compass a gentle wiggle to cause the needle to oscillate about its equilibrium position. The oscillation frequency is 0.312 Hz. Earth’s magnetic field at the location of the compass has a horizontal component of 18.0 mT. The needle has a magnetic moment of 0.680 mJ/T. What is the needle’s rotational inertia about its (vertical) axis of rotation?

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Chapter1: Units, Trigonometry. And Vectors
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You place a magnetic compass on a horizontal surface, allow
the needle to settle, and then give the compass a gentle wiggle
to cause the needle to oscillate about its equilibrium position. The
oscillation frequency is 0.312 Hz. Earth’s magnetic field at the
location of the compass has a horizontal component of 18.0 mT.
The needle has a magnetic moment of 0.680 mJ/T. What is the
needle’s rotational inertia about its (vertical) axis of rotation?

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