- #1
anonymous820
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Homework Statement
A ball of mass .5 kg is attached to the end of a cord whose length is 1.5 m. The ball is whirled in a horizontal circle. If the cord can withstand a maximum tension of 50 N, what is the angular speed the ball can have before the cord breaks?
Homework Equations
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The Attempt at a Solution
m (mass) = .5 kg
r (radius) = 1.5 m
Ft (tension force) = 50 N
w (angular velocity) = ?
w = v/r
Ft = Fg
m v^2/r = mg
v^2/r = g
v^2/1.5 = 9.81
v^2 = 14.715
v = 3.836 m/s
w = 3.836/1.5
w = 2.557
so my question is..what am i doing wrong? because the answer is [angular velocity (w) = 8.16 rad/s]