Hello, thank you for helping.(adsbygoogle = window.adsbygoogle || []).push({});

My Question:

On a banked race track, the smallest circular path on which cars can move has a radius r1 = 107 m, while the largest has a radius r2 = 163. The height of the outer wall is 18 m.

Find the smallest speed and largest speed at which cars can move on this track without relying on friction.

I already solved the problem but I was wondering if it was correct.

r2-r1 = 163m-107m= 56m.

tan(theta) = 18/56

tan(theta) = v^2 / (rg)

v = sqrt(tan(theta)rg)

for smallest speed:

v = sqrt(tan(18/56)107*9.8) = 2.45 m/s

for largest speed:

v = sqrt (tan(18/56)163*9.8) = 2.99 m/s

Thanks again!

**Physics Forums - The Fusion of Science and Community**

# Banked Curves (finding smallest & largest speed)

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Banked Curves (finding smallest & largest speed)

Loading...

**Physics Forums - The Fusion of Science and Community**