A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve?

The radius of the curve is 9/58 m or 0.155m

In uniformly accelerated rotational angular motion, to find the radius of the curve given with the angular velocity and acceleration, we must use:

Velocity = (radius) (centripetal acceleration)

(radius) = (velocity) / (centripetal acceleration)

= (4.5 m/s) / (29 m/s^2)

= 9/58 m or 0.155m