Equal centripetal and tangential accelerations

[phy11492]

Homework Statement

A race car starts from rest on a circular track of radius 570 m. The car's speed increases at the constant rate of 0.500 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following.

Find the distance traveled

Homework Equations

tangential acceleration = r x alpha

The Attempt at a Solution

found the speed of the race car to be 16.89 m/s

 

[Spinnor]

With the velocity, v, and given acceleration you can now find the time, t, to reach v. When you have the time, t, you should be able to find the distance again using the given acceleration.