Question

yamcs <Homework 12 ment Problem 18.23-Copy K14 of 18 ament The coefficient of kinetic friction between the 100-lb disk and the surface of the conveyor beit is A 0.24. The conveyor belit is moving with a speed of vc 6ft/s when the disk is placed in contact with it. (Figure 1) Part A Determine the number of revolutions the disk makes before it reaches a constant angular velocity. Express your answer using three significant figures. View Available Hints) lem 1 Figure 1 of1 ndamen vec oblem Number of revolutions oblem roblem Problem 6n Provide Feedback Next > roblem Probiem 1

Answer 1

Free body diagram 100 lb 0.5 OB Conservation of vertical momentum N-100 -0 N= 100 lb Angular velocity: 0.5 ω =-c =-= 12 rad/s Mass moment of inertia of the disk about O 1,1(100 2 32.2 0.3882 slug ft' Energy balance 1-2 X I 0 +| (0.24x 100) x 0.5 | θ--x 0.3 882x122 1 rev θ= 2.33 rad× 2π rad θ-0.37 rev