Question #18121

1 Answer
Oct 16, 2015

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