398_Dynamics 11ed Manual

398_Dynamics 11ed Manual - Given: 1 15 rad s = 2 60 rad s =...

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Engineering Mechanics - Dynamics Chapter 16 Problem 16-1 A wheel has an initial clockwise angular velocity ω and a constant angular acceleration α . Determine the number of revolutions it must undergo to acquire a clockwise angular velocity f . What time is required? Units Used: rev 2 π rad = Given: 10 rad s = 3 rad s 2 = f 15 rad s = Solution: f 2 2 2 αθ + = θ f 2 2 2 = 3.32 rev = f ωα t + = t f = t 1.67 s = Problem 16-2 A flywheel has its angular speed increased uniformly from 1 to 2 in time t . If the diameter of the wheel is D , determine the magnitudes of the normal and tangential components of acceleration of a point on the rim of the wheel at time t , and the total distance the point travels during the time period.
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Unformatted text preview: Given: 1 15 rad s = 2 60 rad s = t 80 s = D 2 ft = Solution: r D 2 = 2 1 t + = 2 1 − t = 0.56 rad s 2 = a t r = a t 0.563 ft s 2 = a n 2 2 r = a n 3600 ft s 2 = 2 2 1 2 − 2 = 3000rad = d r = d 3000ft = Problem 16-3 The angular velocity of the disk is defined by ω = at 2 + b . Determine the magnitudes of the velocity and acceleration of point A on the disk when t = t 1 . 396...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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