110_Dynamics 11ed Manual

110_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 v θ rt 1 () 't 1 = v 4.87 m s = a r r'' t 1 1 1 2 = a r 89.4 m s 2 = a 1 '' t 1 2 r' t 1 1 + = a 53.7 m s 2 = * Problem 12-152 At the instant shown, the watersprinkler is rotating with an angular speed ' and an angular acceleration '' . If the nozzle lies in the vertical plane and water is flowing through it at a constant rate r' , determine the magnitudes of the velocity and acceleration of a water particle as it exits the open end, r . Given: ' 2 rad s = '' 3 rad s 2 = r' 3 m s = r 0.2 m = Solution: vr ' 2 r ' 2 + = v 3.027 m s = ar ' 2 2 r '' 2 r' ' + 2 + = a 12.625
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