A 7-kg bowling ball whose radius is 0.13m is rolling towardyou, turning 3 times

Question

A 7-kg bowling ball whose radius is 0.13m is rolling towardyou, turning 3 times per second. What are the magnitude anddirection of its rotational angular momentum about you? What is itstransitional angular momentum about you? Side note: Just for clarification "about you" implies inreference to you A 7-kg bowling ball whose radius is 0.13m is rolling towardyou, turning 3 times per second. What are the magnitude anddirection of its rotational angular momentum about you? What is itstransitional angular momentum about you? Side note: Just for clarification "about you" implies inreference to you

Explanation / Answer

             Given that the mass of the ball is m = 7.0 kg              The radius of the ball is r = 0.13 m              The angular speed is = 3times /s = 3 rev/s = 3*2rad/s = 18.84 rad/s     ----------------------------------------------------------------------------------------------- (a)                   I= (2/3)mr2 is the moment of inertia of theball                                     = (2/3)(7.0kg)(0.13m)2                           = --------- kg.m2 The rotational angular momentum is L =I The rotational angular momentum is L =I                                     Then we get L =-------- kg.m2 /s        From the right hand rulethe direction of the angular momentum is inwards ( into the pagewhen seen from the plane of paper)    (b) The translational angular momentum is L = mvr                                                                    =m(r)r         ( sincev = r)                                                                    =mr2                                                                                  = -------- kg.m2     perpendecular to the page andoutwards

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