SOLUTION OF TUTORIAL SHEET 2
1.
It’s convenient to start from
H
, which is
dimensionless
.
Then Ft must have unit in radian, hence
F
unit is
radian/second
.
We also see that D/kT has to be dimensionless, so D must have the same dimension as kT. It
follows that
D
has the unit of
kg m
2
s
2
.
A
,
E
and
G
must have the same dimension, which is the same as dimension of μe
D/kT
. Hence,
their dimension
is the same as dimension of μ. T
he unit is
kg m
2
s
2
.
B
must have the same dimension as x, which has unit of
m
.
must have unit kg m
2
s
2
, so the unit of
C
is
kg
1
m
1
s
2
.
∬
must have unit of kg m
2
s
2
, hence
I
unit has to be
kg s
2
.
2.
The boat has to pass from A to B in a straight line (300 m) in 1 minute. This means the boat
velocity relative to a nonmoving observer must be
in the positive ydirection. In
the positive xdirection, there are already two velocities contributing: river velocity (15 m/s) and
wind velocity (10 cos(30) m/s). In order to move straight, to boat has to nullify those velocities.
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 Fall '10
 ClausDieterOhl
 Scalar, Velocity, 1 m, 1 minute

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