A.)What is the tangential acceleration of a bug on the rim ofa 7.0 inch diameter

Question

A.)What is the tangential acceleration of a bug on the rim ofa 7.0 inch diameter disk if the disk moves from rest to an angularspeed of 78 rev/min in 4,0 seconds? B.) When the disk is at final speed,what is the tangentialvelocity of the bug? C.)One second after the bug starts from rest, what is itstangential acceleration? D.) What is centripetal acceleration? E.) What is its total acceleration? F.) What is the degrees relative to the tangentialacceleration? A.)What is the tangential acceleration of a bug on the rim ofa 7.0 inch diameter disk if the disk moves from rest to an angularspeed of 78 rev/min in 4,0 seconds? B.) When the disk is at final speed,what is the tangentialvelocity of the bug? C.)One second after the bug starts from rest, what is itstangential acceleration? D.) What is centripetal acceleration? E.) What is its total acceleration? F.) What is the degrees relative to the tangentialacceleration? B.) When the disk is at final speed,what is the tangentialvelocity of the bug? C.)One second after the bug starts from rest, what is itstangential acceleration? D.) What is centripetal acceleration? E.) What is its total acceleration? F.) What is the degrees relative to the tangentialacceleration?

Explanation / Answer

78 rev/min = (78 rev/min)(2/ rev)(1 min/ 60 s) =13/5 7 in = (7 in )(0.0254 cm/ 1 in) = 0.1778 m = ( - o) / t = (13/5 - 0)/ 4 = 13/20 rad/s2     ------> angular acceleration A) a = R = (0.1778 m)(13/20 rad/s2 ) =0.363 m/s2   ------>tangential acceleration B) = o + 0.5 t2 = 0 +0.5(13/20)(4)2 = 16.3 rad/s ----------->angularvelocity v = R = (0.1778 m)(16.3 rad/s) = 2.9 m/s  ------>tangential velocity C) we assumed that the acceleration was constant in the 4-secondinterval; therefore, at t = 1, a = 0.363 m/s2 D)ac varies directly as the square of; since changes of the interval, ac alsochanges over the interval ac = 2R E) atotal = a + ac ===>NOTE: a andac should be combined vectorially; they are alsoPERPENDICULAR TO EACH OTHER F) = arctan (a / ac) for D,E, and F, you did not specify at which point in theinterval, so i can't give you the answers :-|

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