A 20 ft.lb torque (moment) is applied to a 10 lb drum, which is rotating about its center. The drum has a radius of gyration of 1.5 ft. Determine the magnitude of its angular acceleration.
Torque is given as, T = Iα
k = 1.5ft
I = mk2 = 10 (1.5)2 = 10*2.25 = 22.5 lbft2
T = 20ftlb
20 = 22.5α
or, α = 20/22.5 = 0.888rad/s2
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