# Problem: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. Randomized Variables r = 35 m t = 22.9 s If he completes the 200 m dash in 22.9 s and runs at constant speed throughout the race, what is his centripetal acceleration as he runs the curved portion of the track in m/s2? ac =

###### FREE Expert Solution

Centripetal acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$

v = d/t = 200/22.9 = 8.73 m/s

###### Problem Details

A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m.

Randomized Variables r = 35 m t = 22.9 s

If he completes the 200 m dash in 22.9 s and runs at constant speed throughout the race, what is his centripetal acceleration as he runs the curved portion of the track in m/s2

ac