Answer:N=13.53 rpm
Explanation:
Given
radius [tex]r=7.80 m[/tex]
Centripetal acceleration [tex]a_c=1.6 g[/tex]
and centripetal acceleration [tex]a_c=\omega ^2r[/tex]
where [tex]\omega =angular\ velocity[/tex]
[tex]1.6\times 9.8=\omega ^2\times 7.8[/tex]
[tex]\omega ^2=2.0102[/tex]
[tex]\omega =1.417 rad/s[/tex]
and [tex]\omega =\frac{2\pi \cdot N}{60}[/tex]
[tex]1.417\times 60=2\pi \cdot N[/tex]
[tex]N=13.53 rpm[/tex]
