Relative
Velocity
(UNSW)
Why can a sailboat travel faster than the wind when
it goes against it, but can’t travel faster than the
wind when going with it? The answer is the concept
of relative velocity versus actual velocity. When a
sailboat is sailing downwind, it can’t go faster
than the wind because the wind pushing the boat is
the only force pushing the boat in that direction.
As the velocity of the sailboat increases, the
difference between the relative speeds of the boat
to the wind decrease. As the difference decreases,
the force pushing the sail forward decreases so that
the boat can never mover faster than the wind behind
it. However, when going upwind, since the boat is
going in the opposite direction of the wind, the
relative wind speed to the sail is increased. Since
there is a larger magnitude of velocity of the
airflow hitting the sail, the force the sail exerts
on the air must be increased, so the re-action force
of the air pushing against the sail is increased.
Therefore, the faster the boat is moving in the
opposite direction to the wind the greater the force
is pushing it forward.(Wolfe)