Banking corners Problem regarding assignment

Physics_Student101

hey guys im having trouble with a banking problem i keep getting a sin theta value of 2 therefore i cant find the angle required, any ideas where im going wrong, below is a copy of my formulas
Fnet = (MV^2) / R

Fnet = (1000*16.67^2) / 10

Fnet = 27788.89 N

Fc = Mac

Ac = V^2 / R

Ac = 16.67^2 / 10

Ac = 27.78889 ms ^ -2

Therefore

Fc = Mac

Fc = 1000 * 27.78889

Fc = 27788.89 N

G sin Ө = v^2 / R

9.8 sin Ө = 16.67^2 / 10

9.8 sin Ө = 27.78889

sin Ө = 27.78889 / 9.8

sin Ө = 2.836

mukundpa

Have you gone through the text? I think your concept is not cleare. How you have written
G sin Ө = v^2 / R

Physics_Student101

im not sure what you mean, however the squares used to be a theta symbol if thats what you mean they just didnt convert into the forum.

mathmike

what is the question and maybe we can help you better

Physics_Student101

i need to work out how banking a corner can help to increase road safety, using circular motion, friction etc... i have a car travelling at 60 km/h with a mass of 1000kg, the speed is allowed to vary but the mass must stay the same...

mukundpa

In this case the ideal situation is such that the sideway friction force is zero.
The component of normal reaction will provide the necessary centripetal force.
Resolve normal reaction in horizontal and vertical direction.

Physics_Student101

how would i work out theta in this case?

mukundpa

Draw a diagram and indicate the forces you will find

N cosq = mg (q is for theeta)
N sinq = mv^2/R
gives tanq = V^2/gR

Physics_Student101

what does the character N stand for?

mukundpa

N stands for the normal reaction of the road which is normal to the roas and makes and angle 90 - q degree with the horisontal and q with upward vertical.

Sorry for late, I was out of station.