A.D. Tupper & Associates
Limited
Critical Curve Speed
As an object rounds a curve, the outwards
force, which is called centrifugal force, is equal and opposite
to the centripetal force, which goes towards the centre of a
curve.
If a vehicle is going around a turn, the centrifugal force
tends to makes it move to the outside of the curve, but that
tendency is offset by the friction between the tires and the
road. For every curve, however, there is a "critical speed"
at which the centrifugal force equals the available frictional
force generated between the tires and the roadway. If traveling
above the critical speed, the vehicle, meaning the rear wheels,
will tend to slide to the outside of the turn.
Canadian drivers have all experienced this phenomenon. If
the road is icy, you tend to slide off the side of the curve
at speeds which would be safe under other conditions.
This principle of balance between the vehicles centrifugal
force and the available frictional force is useful in determining
the speed of a vehicle as it traverses a curve. If a car spins
out, for example, and leaves characteristic curved marks which
display bars or striations indicating that the wheel was rotating
while it was sliding, its speed was exceeding the critical speed.
By placing scaled drawings of the vehicle on scaled plan drawings
of the marks, we can get the radius of the path of the cars
CG. If the frictional characteristics of the road surface are
known, it is possible to relate that radius and the friction
and calculate the critical speed of the path of the car, which
path will probably be different from the regular travel path.
The vehicle will have been traveling at a minimum of the calculated
speed when it lost control. |