Question

Question #18121

Answer 1

I found: `omega=28.9"rad"/sec`

Explanation:

Maximum tension is `50,000N` so using Newton's Second Law, `SigmavecF=mveca`, we get that:
`T=ma_c=mv^2/4` where `a_c` is centripetal acceleration;
`50,000=15*v^2/4`
and:
`v=115.5m/s`
This linear velocity can be converted into rotational, `omega`, by remembering that:
`v=omegar`
so:
`omega=v/r=115.5/4=28.9"rad"/sec`