16-19. The vacuum cleaners armature shaft S rotates with
Chapter 17, Problem 16-19(choose chapter or problem)
The vacuum cleaner's armature shaft S rotates with an angular acceleration of \(\alpha=4\ \omega^{3/4}\mathrm{\ rad}/\mathrm{s}^2\), where \(\omega\) is in rad/s. Determine the brush's angular velocity when t = 4 s, starting from \(\omega_0=1\mathrm{\ rad}/\mathrm{s},\text{ at }\theta=0\). The radii of the shaft and the brush are 0.25 in. and 1 in., respectively. Neglect the thickness of the drive belt.
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