Falling can hurt.
It can be scary as well, especially when you are the lead climber and
you are above your last piece of safety. When that is the case,
the distance you fall can be twice as long than when you are below your last
bolt. As you know, gravity acts on all objects with a downward pull towards
the center of the earth. This downward force gives a climber energy.
When climbers fall, the potential energy they have is converted into kinetic
energy. The potential energy can be calculated by multiplying the
distance a climber falls by the acceleration due to gravity (9.81 m/s²)
and by the climber's mass (in Kilograms). Potential energy
= mgh where m is the mass of the climber in
kilograms, g is gravity in meters per second squared, and h
is the height of the climber in meters. Once a climber falls, their potential
energy converts into kinetic energy and can be calculated by this equation:
1/2mv²= kinetic energy Where
m is mass in kilograms and v is velocity in meters per second.
This energy is what one wants to use up, otherwise
it will all go into the entire system. The system consists of the climber,
rope, anchors, carabiners, slings, and anything else used to keep the
climber on the rock. Energy is absorbed by mainly the rope, but also through
the climber, knots, anchor system, and belayer. The rope is designed to
stretch by certain amount in order to absorb the energy created by a fall.
Dynamic ropes stretch whereas static ropes are designed not to stretch.
It is essential not to use static ropes for they stretch allowing
the energy to absorb into the rope in a fall. You could break your back
from a serious fall on a static rope. There is no deceleration time on a
static rope, which does not descrease the force on the climber. Dynamic
ropes are specifically designed to stretch allowing the energy from the
fall to be less on the climber. "If the rope is capable of stretching
upon being pulled taut by the falling climber's mass, then it will apply
a force upon the climber over a longer time period. Extending the time over
which the climber's momentum is broken results in reducing the force exerted
on the falling climber." (Henderson)
There is a ratio between the falling distance
and the length of rope used (or out), called the fall factor
(Hattingh 62). The fall factor equals the distance fallen
divided by the rope out (62). A fall factor of 2 happens
when you fall twice as far as the length of the rope out. This makes for
a fall that is dangerous and puts more force into the system that you really
want. This higher impact force should be avoided. When the fall factor
is low, say .8, the impact force is much less than a fall factor of 2. With
a low fall factor, most of the energy is absorbed by the rope because it
stretches (62). The fall factor of 2 creates the highest
impact force since it goes directly to the belayer, climber, and gear on
the wall (62). In
this situation, equipment is more likely to fail and the climbers to be
injured. It is best to avoid fall factor 2 falls. The best way to prevent
fall factor 2 falls is to set protection, (running belays) on the
route after you get started on the climb. Having protection will shorten
your fall and therefore decrease the impact force on a fall.
(Luebben 184)
This picture above shows the climber
placing running belays as they go up. These running belays are the climbers'
"protection" that keep them from falling a long distance.
Links to other places in "The Physics of Rock Climbing":