What is the radius of the highway?

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The discussion focuses on calculating the radius of a highway curve with a banking angle of 6% for vehicles traveling at 120 km/h. The user converted the speed to meters per second, resulting in 33.3 m/s, and applied centripetal force equations to derive the radius. The calculation led to a proposed radius of approximately 1.08 km. Another participant confirmed the approach and suggested trying an alternative formula for verification. The overall consensus is that the method used appears correct.
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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 = -Fcentripetal = (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?
 
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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
 
Last edited:
ah kay, thank youuuu ^^ is there like a thank button somewhere?
 

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