Question

A car starts from rest on a curve with a radius of 150 and accelerates at 1.30 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.30 ?

Answer 1

You need to provide units for radious and acceleration. Numbers alone are not enough to define the problem.
When the magnitude of the total acceleration is 3.30 whatevers, the centripetal acceleration is presumably sqrt[3.3^2 - 1.3^2). Use that fact and R to compute V. That and the acceleration will tell you how long it has been on the track. From that, compute the distance travelled and number of revolutions made.

Answer 2

A car starts from rest on a curve with a radius of 150 m and accelerates at 1.00m/s^2 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 2.60m/s^2 ?