What is it in g's?

Question

A race car rounds a curve at 53 m/s. The radius of the curve is 405 m, and the car's mass is 670 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)

What is the car's (centripetal) acceleration?

What is it in g's?

Answer 1

a_c = V^2/R = 53^2/405 = 6.936 m/s^2

in g's, you divid a_c by the acceleration of gravity g = 9.81 m/s^2

ac = 6.936 m/s^2/9.81 m/s^2 = 0.707g