Calculating Revolutions in Non-Uniform Circular Motion

[darko21]

Homework Statement

A car starts from rest on a curve with a radius of 190 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 3.10 m/s^2 ?

Homework Equations

A^2=At^2 + Ac^2
Ac=v^2/r
x=(1/2)at^2
Vf=at

The Attempt at a Solution

3.1^2=1.2^2+Ac^2
Ac=2.85

2.85=v^2/190
v=23.304

23.304=1.2t
t=19.42

x=(1/2)(1.2)(19.42)^2
x=226 (wrong)

 

[ideasrule]

Did you forget to convert 226 m to the number of revolutions?

 

[darko21]

LOL thanks!