Answer:
0.14 rad/s
Explanation:
We are given that
Diameter=d=4.2 km
Radius,r=[tex]\frac{d}{2}=\frac{4.2}{2}=2.1 km=2.1\times 1000=2100 m[/tex]
Using 1 km=1000 m
Length,l=32 km
Acceleration on its curved walls=g'=4g
Where [tex]g=9.8m/s^2[/tex]
We have to find the speed (in rad/s)
Centripetal acceleration=[tex]a_c=\omega^2 r[/tex]
[tex]\omega^2\times 2100=4\times 9.8[/tex]
[tex]\omega^2=\frac{4\times 9.8}{2100}[/tex]
[tex]\omega=\sqrt{\frac{4\times 9.8}{2100}}[/tex]
[tex]\omega=0.14rad/s[/tex]
