Download 1 2 s a t

Solution – Firing to the North
Let s denote the required deviation. This deviation is caused by the Coriolis force macor, and
thus-
s
1
acor t 2
2
Where the time can be calculated using the direct data for the length and velocity of the
flight- t = l/v. Therefore-
s
1 l2
1 l2
l 2 sin 60o
o
a

2

v
sin
60

cor
2 v2
2 v2
v
see Fig.1.
If we define the axis and
as:
since
as in Fig. 1, then we can write the velocity vector of the river
, we have that the coriolis correction to the acceleration vector is
Now observe at Fig. 2.
it shows a cross-section of the river, as it flows towards you. convince yourself that the
new x' axis, which is pointing towards the left bank of the river, is the same as the
previous x axis, so the river feels coriolis' acceleration
also, it feels an acceleration downwards, we'll naturally call it g, which is comprised of
the gravity acceleration and a small, insignificant, centrifugal correction. so we have
and now we'll argue that