A string with the length of 4.23 m can support a weight of 25 g. If you add a weight and spin the string horizontally above your head, it breaks upon reaching a tangential velocity of 5.1 m/s. What is the mass of the weight?
so... radius=4.23m, V(t)=5.1 m/s, and mass=unknown
Angular Displacement = (arc length) / (radius)
Centripetal Force = (mass)(tangential velocity)(tangential velocity) / (radius)
Centripetal Force= (mass)(radius)(angular speed)(angular speed)
Tangential Velocity=(angular speed)(radius)
The Attempt at a Solution
I'm not quite sure which equations pertain to solving this type of problem, but I don't know where to get started when you're not given the value of the centripetal force... Any help would be greatly appreciated! Thanks!