As seen from above, a playground carousel is rotatingcounterclockwise about its
ID: 1725889 • Letter: A
Question
As seen from above, a playground carousel is rotatingcounterclockwise about its center on frictionless bearings. Aperson standing still on the ground grabs onto one of the bars onthe carousel very close to its outer edge and climbs aboard. Thus,this person begins with an angular speed of zero and ends up with anonzero angular speed, which means that he underwent acounterclockwise angular acceleration. The carousel has a radius of1.53 m, an initial angular speed of3.16 rad/s, and a moment of inertia of126 kg · m2. Themass of the person is 40.4 kg. Findthe final angular speed of the carousel after the person climbsaboard.f =
Thank you for your help!
Explanation / Answer
Given thatthe radius of carousel is r = 1.53 m initialangular velocity is 1 = 3.16 rad/s moment ofinertia of carousel is I = 126 kg.m2 Mass ofperson is m = 40.4 kg ----------------------------------------------------------------------------- Since there is noexternal force on the system , angular momentum conserved total initial angular momentum = total final angularmomentum I*1 = ( I + m r2 )2 2 = I*1 / ( I + m r2 ) = ------------ rad/s
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.