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**1. Homework Statement**

A pulley in the shape of a cylinder of mass 5 kg and radius 0.6 m has a force of magnitude 30 N exerted tangentially on it. Find the angular acceleration of the pulley and its angular velocity after 3 s, assuming it starts from rest.

**2. Homework Equations**

T = Ftr

T = mr^2a

**3. The Attempt at a Solution**

(a) I tried to find the acceleration using torque equations

T = FtR

T = 30(.6)

T=18

T = mr^2a

18 = 5(.36)a

a = 10 rad/sec^2

(b) Then I took the acceleration and tried to find the angular velocity

ω = ω

_{i}+ at

ω = 10(3)

ω = 30 rad/sec

They correct answer is (a) 20 rad/sec^2 (b) 60 rad/sec