A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it from rest to 16 rpm in 10 s. Modeling the merry go round as a uniform disk of radius 4.0 m and mass 770 kg, find the torque required to produce that acceleration. Neglect the frictional torque.

Question

A child pushes tangentially on a small hand driven merry- go- round.  She is able to accelerate it from rest to 16 rpm in 10 s.  Modeling the merry go round as a uniform disk of radius 4.0 m and mass 770 kg, find the torque required to produce that acceleration.  Neglect the frictional torque.

69 · Answer

90000 N

bobpursley · Answer

the principle here is simple: torque=moment*acceleration where acceleration is found by wfinal^2=1/2 acceleation*time wfinal=16*2PI/60 rad/sec use your table of moments to find the disk moment.