Question

G. (5) A centrifuge in a medical laboratory rotates at an angular speed of 3600 rev/min. When switched off. It through 50.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/) of the centrifum H. S Two spheres with m M and radius Rare in motion. One is flying through space in a straight line at speed u with no rotation. The second sphere is spinning in place on an axle. What rotational speed does this second splere need in order that it have the same kinetic energy as the one flying in a straight line? The moment of inertia of a solid sphere is MR- I S A vinyl LP album has a mass and initially rotates with an angular speed on a frictionless bearing. The album may be treated as a solid disk (the moment of inertin of a solid disk is Mr). A wad of chewing gum with mass mis dropped on the album halfway between the center and the outside rim. What is the angular speed after the chewing gum has dropped? Write your answer in terms of the parameters given,

Answer 1

The solution of the problem is given below

Page No. Date solution G mitiel anguler speed Wo= 3600 rew/min I wo = 3600x27 rad's 60 find angulered wzo No of revolution na 50.0 To be angle anguler displacement o= nx2T 250.0x21 red. w²wz 22% DO [& in tanto x= we will - 200 x = o-wo 2 Ao x = - (3600x2T 6 - 2x500x2Ã 25 2 - 60x60x2T 2x50.0 L =720 x2 727 rad/52 = 226. I rad/2 HRDou Pure transitory motion KE, = 12 Muz Pure rotational motion - KE22 t I w2 atx 2 MR² xw? given KE - KEL AMU2 - £x 2 MR² w²

mass of vinyl LP M - radnis of Lp r mitiel anguler speed wo C grum Topview melil Augnler momentin li - Ilp We liat mk wo final € Auguler momento la I up wt I grund - I guma me? As mar anguler momentin of the system is conserved = را ا friel . w anguler speed. of gem and It m tm - 4 M wo ЧИ+m um am