How Many Revolutions Does a Car Make From Rest to a Specific Acceleration?

[feedmeister]

# of Revolutions made

I had the same question as someone else here, but they figured it out but nothing was said in the post. As such, I was asked to make a new thread..
So, pretty much, I have this question:

1. Homework Statement
A car starts from rest on a curve with a radius of 110 m and accelerates at 1.20 m/s^2. How many revolutions will the car have gone through when the magnitude of its total acceleration is 2.20 m/s^2?


2. Homework Equations

theta (final)=theta (initial)+omega*(delta)t+(a*(delta)t^2)/2*r

3. The Attempt at a Solution

i just have no idea how to figure out the time or the distance (or the angle) it takes the car to get from one acceleration to another...

 

[BlackWyvern]

Total acceleration = vector sum of tangential acceleration and centripetal acceleration.
Solve for centripetal acceleration.

Ac = v^2/r
Solve for v.

Use a kinematic equation with v, you should be done.