Twirling a Baton A majorette in a parade is performing some acrobatic twirlings

Question

Twirling a Baton A majorette in a parade is performing some acrobatic twirlings of her baton. Assume that the baton is a uniform rod of mass 0.120 kg and length 80.0 cm. Initially, the baton is spinning about an axis through its center at angular velocity 3.00 rad/s. (Figure 1) What is the magnitude of its angular momentum about a point where the axis of rotation intersects the center of the baton? Express your answer in kilogram meters squared per second. This question will be shown after you complete previous question(s).

Explanation / Answer

Moment of inertia about the rotational axis = ML2/12 where M is mass and L is length of the baton
MOI = 0.12*(0.8)2/12 = 6.4*10-3 kg-m2
Angular momentum L = IW where W is rad/s
L = 6.4*10-3*(3) = 19.2*10-3 kg-m2/s

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