A .7m diameter wheel accelerates uniformly from 160rpm to 280rpm in 4.0s.

Determine:

a)it's angular acceleration, and

b)the radial and tangential components of the linear acceleration of a point on the edge of the wheel 2.0s after it has started accelerating.

I want to use the equation t= w2-w1/a for part a, and when I did I got a= 30, but this doesn't seem right. Is there a better way to do this problem?