Turn On Flat Surfaces
If the bank angle is zero, the surface is flat and the normal force is vertically upwards. The only force keeping the vehicle turning on its path is friction, or traction. This must be large enough to provide the centripetal force, a relationship which can be expressed as an inequality, assuming the car is driving in a circle of radius r:
The expression on the right hand side is the centripetal acceleration multiplied by mass, the force required to turn the vehicle. The left hand side is the maximum frictional force, which equals the coefficient of friction μ multiplied by the normal force. Rearranging the maximum cornering speed is
Note that μ can be the coefficient for static or dynamic friction. In the latter case, where the vehicle is skidding around a bend, the friction is at its limit and the inequalities becomes equations. This also ignores effects such as downforce which can increase the normal force and cornering speed.
Read more about this topic: Banked Turn
Famous quotes containing the words flat surfaces, turn, flat and/or surfaces:
“They are not flat surfaces
Having curved outlines.
They are round
Tapering toward the top.”
—Wallace Stevens (1879–1955)
“When the LORD your God brings you into the land that you are about to enter and occupy...and you defeat them, then you must utterly destroy them. Make no covenant with them and show them no mercy. Do not intermarry with them, giving your daughters to their sons or taking their daughters for your sons, for that would turn away your children from following me, to serve other gods.”
—Bible: Hebrew, Deuteronomy 7:1-4.
“perpetually crouched, quivering, upon the
sternly allotted sandpile
Mhow silently
emit a tiny violet flavoured nuisance: Odor?
o no.
comes out like a ribbon lies flat on the brush”
—E.E. (Edward Estlin)
“But ice-crunching and loud gum-chewing, together with drumming on tables, and whistling the same tune seventy times in succession, because they indicate an indifference on the part of the perpetrator to the rest of the world in general, are not only registered on the delicate surfaces of the brain but eat little holes in it until it finally collapses or blows up.”
—Robert Benchley (1889–1945)