Question
A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
-
25 m/s2
-
0.25 rad/s2
-
25 rad/s2
-
5 m/s2
Solution
C.
25 rad/s2
τ = I α
F × R = MR2α
30 × 0.4 = 3 × (0.4)2 α
12 = 3 × 0.16 α
400 = 16 α
α = 25 rad/s2
