Question #18121

1 Answer
Gió
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#

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