What is the relationship between tangential and radial acceleration?

[De_Dre01]

Homework Statement

Homework Equations

αt = r α

The Attempt at a Solution

ωi = 0 rad/s
αt = 2.00 rad/s²
r = 112 m
θ = ? at a = 6.80 m/s²

I'm not exactly sure where to begin. Help is appreciated.

 

[DuckAmuck]

You have two kinds of acceleration here. Assuming the batmobile doesn't slip on the road as it's turning (radius being a constant), the two accelerations are perpendicular (one is tangential, and the other is radial (centripetal force). So you can add them like: aTotal^2 = aTang^2 + aRad^2.
One top of that, the radial acceleration is dependent on the tangential speed, so it's dependent on tangential acceleration.