What is the radius of the highway?

[twenty5]

Homework Statement

Determine the radius of a highway curve which has a banking angle of 6% over which vehicles will travel at 120km/h

Homework Equations

I've started with:
Fx = -F_centripetal = (mv²)/r = -Fnsin6
(mv²)/2 = mgsin6

converted my km/h => m/s ... 33.3m/s

The Attempt at a Solution

pretty much just subbed in the values


-Fc = -Fnx
-mv²/r = -mgsin6
-33.3²/r = -9.81sin6
-33.3/-9.81sin6 = r
r = 1.08km?


is this correct?

 

[JaredJames]

velocity = sqrt(g*r*tan[theta])

Try your values in there and see what you come out with (it's just another version of yours above).

Otherwise, it looks OK to me.

Jared

 

[twenty5]

ah kay, thank youuuu ^^ is there like a thank button somewhere?