Radial and tangential acceleration need hint

[fizzle45]

Homework Statement

A particle is moving clockwise in a circle of radius 2.50m at a certain instant in time its total acceleration is 15m/s^2. In the picture it shows the angle between the acceleration vector and radius is 30 degrees, and also there is a velocity vector with no value attached.

If someone could please start me off in the right direction for this problem I would be very grateful.

 

[Doc Al]

What are you asked to solve for? The velocity, I presume?

Hint: The radial acceleration depends on the speed. What do you know about the radial acceleration for circular motion?