What is the tangential acceleration of a bug on a rim of a 9in diameter disk if

Question

What is the tangential acceleration of a bug on a rim of a 9in diameter disk if the disk moves from rest to an angular speed of76 rev/min in 5 s ? __________m/s squared What is the centripical acceleration? _________m/ssquared What is the total acceleration? _______ m/s squared what degrees relative to tangential acceleration? ________degrees What is the tangential acceleration of a bug on a rim of a 9in diameter disk if the disk moves from rest to an angular speed of76 rev/min in 5 s ? __________m/s squared What is the centripical acceleration? _________m/ssquared What is the total acceleration? _______ m/s squared what degrees relative to tangential acceleration? ________degrees

Explanation / Answer

radius r = 4.5 in = 0.1143 m = 76 rev/min = 76*2/60 rad/s = 7.96 rad/s, t = 5 s angular acceleration = /t = 1.59 rad/s2 the tangential acceleration at = r = 0.182m/s2 the centripetal acceleration ac = 2r =7.24 m/s2 the total acceleration = (at2 +ac2) = 7.24 m/s2 =tan-1(ac/at) =88.6o

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