A machine part rotates at an angular speed of 0.32 rad/s; its speed is then increased to 2.8 rad/s at an angular acceleration of 0.54 rad/s2. Find the angle through which the part rotates before reaching this final speed.
given
w = 0.32 rad/s
w' = 2.8 rad/s
alpha = 0.54 rad/s
hence rotated angle = theta
2*theta*alpha = w'^2 - w^2
theta = (2.8^2 - 0.32^2)/2*0.54
theta = 7.16444 radians
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