The vacuum cleaner’s armature shaft S rotates with an angular acceleration of a = 4v3/4 rad/s2, where v is in rad/s. Determine the brush’s angular velocity when t = 4 s, starting from v0 = 1 rad/s, at u = 0. The radii of the shaftand the brush are 0.25 in. and 1 in., respectively. Neglect the thickness of the drive belt.

The vacuum cleaner’s armature shaft S rotates with an angular acceleration of a = 4v3/4 rad/s2, where v is in rad/s. Determine the brush’s angular velocity when t = 4 s, starting from v0 = 1 rad/s, at u = 0. The radii of the shaftand the brush are 0.25 in. and 1 in., respectively. Neglect the thickness of the drive belt.