Assuming you're given the angle and asked to find Tension, solve for tension using the formula Tsine(theta)=mg (note that we are using the y-direction first because the forces are zero due to no acceleration in this direction)
Once you find tension then you should be able to find the speed. For centripetal acceleration questions ask yourself: what is providing the centripetal force to cause the object to accelerate centripetally (v^2/r)? In this case it's the x-component of the tension that's causing the object to rotate (Tcos(theta)). Use the formula Tcos(theta)=m(v^2/r)