A curved section of roadway is in the shape of a circular arc of 410-m radius. The curved section is horizontal, not banked. The coefficient of friction for tires and the roadway is 0.40. What is the maximum safe driving speed for this unbanked, curved section of roadway?

Question

abhisar · Answer

U can tag me in ur question like this @abhisar . It becomes easy for me to find uh :)

abhisar · Answer

It also sends me a notification !

abhisar · Answer

In this case the centripetal force is provided by only the frictional force.

abhisar · Answer

Now can u tell me the formula for centripetal force ?

akohl · Answer

Mass times velocity squared divided by the radius?

abhisar · Answer

good !

akohl · Answer

I'll start tagging you in my questions

abhisar · Answer

Now equate it with frictional force and find the value of velocity

akohl · Answer

What's the frictional force. All we have is the radius

abhisar · Answer

$\mu $ = coefficient of friction.

abhisar · Answer

$\color{blue}{\text{Originally Posted by}}$ @Abhisar
$\huge\sf \frac{\cancel mv^2}{r}=\mu \cancel mg$
$\color{blue}{\text{End of Quote}}$

abhisar · Answer

$\color{blue}{\text{Originally Posted by}}$ @Abhisar
----> $\huge\sf \frac{v^2}{r}=\mu g$
$\color{blue}{\text{End of Quote}}$

akohl · Answer

Thanks