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myct/masterings assignment/st/587576s C | | Search. · MasteringPhysics Rotationa

ID: 1787115 • Letter: M

Question

myct/masterings assignment/st/587576s C | | Search. · MasteringPhysics Rotational Motion-Internet Explorer https.: /session 7784187 Rotational Mobon Problem8 58 Problem 8.58 Part A A revolving door consists of four rectangular glass slabs with the long end of each amached to a pole hat acts as the rotation axis Each slab is 2.35m Find the retational inertia of the entire door Express your answer to three significant figures and include the appropeiate units by 1 40 m wide and has mass 33 5 kg Units My Answers eve U Part 8 If rs rotating af one revolution every 10 0s, whats the door's kinetic energy? Express your answer to two significant figures and include the appropriate

Explanation / Answer

A)

m = mass of each slab = 33.5 kg

w = width = 1.40 m

I = moment of inertia of each slab = mw2/3

Itotal = total moment of inertia = 4 I = 4 mw2/3 = 4 (33.5) (1.40)2/3 = 87.5 kgm2

b)

W = angular speed = 1 rev/10 sec = 3.14 rad/10 sec = 0.314 rad/s

kinetic energy is given as

KE = (0.5) Itotal W2 = (0.5) (87.5) (0.314)2 = 4.3 J