webassign.net 11·0 /6 points SerCP9 7 P017 soln My (a) What is the tangential ac

Question

webassign.net 11·0 /6 points SerCP9 7 P017 soln My (a) What is the tangential accleration of a bug on the rim of a 13.0-in-diameter disk if the disk accelerates uniformly from rest to an angular speed of 80.0 rev/min in 3.30 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration? m/ (d) One second after the bug starts from rest, what is its centripetal acceleration? m/s (e) One second after the bug starts from rest, what is its total acceleration? m/s e from the radially inward direction Need Help? Chet Abet 57.07 AMM

Explanation / Answer

a. angular acceleration= (w2-w1)/t=(80x2xpi/60 - 0)/3.3= 2.538 rad/s^2

tamgential acceleration= angular acceleration x radius= 2.538 x 0.3302= 0.838 m/s^2

b. final angular speed= 2xpix 80/60= 8.376 rad/s

tangential velocity = 8.376 x 0.3302= 2.765 m/s

c. same as 0.838 m/s^2

d.angular velocity = angular acceleration x 1s=2.538 m/s

tangential velocity = 2.538 x 0.3302= 0.838 m/s

centripetal acceleration = 0.838^2/0.3302= 2.126 m/s^2

e. total acceleration = sqrt ( 0.838^2 + 2.126^2)= 2.285 m/s^2

angle= tan inv(0.838/2.126)= 21.50 degree

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