Answer:
33.12 rad/s
Step-by-step explanation:
We are given that
Diameter=d=23.3 in
Radius,=[tex]r=\frac{d}{2}=\frac{23.3}{2}=11.65 in=11.65\times 0.0254= 0.29591 m[/tex]
1 in=0.0254 m
We have to find the angular speed of drum would have to spin.
Force=[tex]mg[/tex]
Centripetal force=[tex]m\omega^2 r[/tex]
[tex]mg=m\omega^2 r[/tex]
[tex]\omega^2=\frac{g}{r}[/tex]
[tex]\omega=\sqrt{\frac{g}{r}}[/tex]
Where [tex]g=9.8m/s^2[/tex]
[tex]\omega=\sqrt{\frac{9.8}{0.29591}[/tex]
[tex]\omega=33.12 rad/s[/tex]
