Two strings spinning rock- tension

[TG3]

Homework Statement

A string 44 cm long will break under a tension of 24 N. Two such strings are tied to a 670 gm rock, their ends 60 cm apart. The rock is spun between them. What is the maximum speed it can spin before the string breaks?
(Using pythagorean theorem, you can determine the radius of the circle is 32.187. I'll save you the hassle.)

Homework Equations

N = m (v^2 / r)

The Attempt at a Solution

48 =.67 x (v^2 / 32.187)
71.64 = v^2 / 32.187
2305.934 = v^2
48.020 = v

I have a suspicion that the problem is conceptual: am I supposed to use sine or cosine somewhere?

 

[Carid]

Draw the diagram of forces and you'll see that the tension in each string can be divided into two components. One component supplying the centripedal force to the stone, and one pulling on the other string.

So your line
48 =.67 x (v^2 / 32.187)
needs modification.