Answer:[tex]a_c=46.24\ m/s^2[/tex]
Explanation:
Given
radius of container [tex]r=13.1\ cm[/tex]
cylinder is rotating with [tex]N=2.99 rps[/tex]
Centripetal acceleration at the outer wall is given by
[tex]a_c=\omega ^2\times r[/tex]
where [tex]\omega [/tex]=Angular speed
[tex]\omega =2\pi N[/tex]
[tex]\omega =2\pi \times 2.99[/tex]
[tex]\omega =18.78\ rad/s[/tex]
[tex]a_c=(18.78)^2\times 0.131[/tex]
[tex]a_c=46.24\ m/s^2[/tex]