I cannot seem to figure out the answer to this question Masteringphysics: Hwk Du

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I cannot seem to figure out the answer to this question

Masteringphysics: Hwk Du.. x YAuniform spherical shell... x Y rind une fiction torque?I... x CA uniform spenerical shell x CI cannot seem To rigure- x https://session masteringphysicscnm myctvitemview?assignment Prohlem 735347518 offset next RozoPhys 141 Spring 2017 DL Problem 10.56 Problem 10.56 Part A A uniform spherical shell of mass 9.00 kg with diameter A8.0 cm has What friction torque is nccdcd to reducc its angular spccd from 70 rpm to 500 rpm in a time intorval of 33.0s? four small masses of mass 2.20 kg attached to its outer surtece and equally spaced around his rombination s spinning about an axis running through the center of the sphere and two of the smell masses (Fkure 1) 0.0484 N.ma Submit My Answers Give Up incorrect; Try Again: 4 attempts remaining gure I Spin axis Ask me any x signed in as Angolo Guerra Hrdre I cose previous 4 of 6 l ncot D l Continue ovide Feedback

Explanation / Answer

angular acceleration alpha = (wf-wi)/t

wi = initial angular speed = 77 rpm = 77*2*pi/60 = 8.1 rad/s

wf = final angular speed = 50 rpm = 50*2*pi/60 = 5.23 rad/s

alpha = (5.23-8.1)/33 = -0.087 rad/s

moment of inertia of the system I = (2/5)*M*R^2 + 2*m*R^2

R = radius = 24 cm = 0.24 m

I = (2/5)*9*0.24^2 + (2.2*0.24^2) = 0.3341 kg m^2

torque = I*alpha

torque = 0.3341*0.087 = 0.0291 Nm

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