Banked road need to find the angle

[LDRshipphysic]

Calculate the angle at which a road should be banked for a design speed of 43 km/h and a radius of .0075 km.

Givens : radius: .075km = 75m
Vt(maybe?): 43 km/h = 11.944m/s

Unknown: angle

Im not shure about what equations to go about solving this for i know in the end I am probly going to have to cancil out mass's because that isn't given to you.. If anyone can help me it would be soooo nice!

:yuck:

 

[LDRshipphysic]

What i attempted to do so far was

Fc=(mvt^2)/r i think i know what the diargram should look like, I am unshure on how to solve for the componits that make up the diargram tho such as Fnx, and Fny, if there was some way i could figure out the compents for Fn then i could figure out how to solve for the angle using trig functions

 

[LDRshipphysic]

But because i don't know the mass of the object I am unshure how to go about solving it

 

[LDRshipphysic]

How do u get

Ok, in my physics homework i know the equation that i have to use is tan(θ) = v2/rg but i don't know how you get to that, if there is some way to find out, that would be sweet for your assistance. I know that v2/r is equail to the centripital acceleration but you I am not shure the base equations that would be used, If you can help that would be great thanks.