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 turn, flat and/or surfaces:
“To turn away a guest is poorest poverty;
To bear with fools is mightiest might.”
—Tiruvalluvar (c. 5th century A.D.)
“riding flatcars to Fresno,
Across the whole country
Steep towns, flat towns, even New York,
And oceans and Europe & libraries & galleries
And the factories they make rubbers in”
—Gary Snyder (b. 1930)
“Footnotes are the finer-suckered surfaces that allow tentacular paragraphs to hold fast to the wider reality of the library.”
—Nicholson Baker (b. 1957)