(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

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3. 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]

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# Circular motion problem

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