Remember that if both lengths are in the same
units, the angular size must be in radians.
Example:
Let's find the angular size and actual size of
object number 7.
To
find the angular size we need to know three
things: the angular size of the window (which is
given as the "Required Field of View" in
the table), the measured size of the window, and
the measured size of the object. The angular
size of the window is given as 7 arcminutes. Now
measure one side of the window with the Jruler.
You should get about 420 pixels. Now measure
the size of the object itself. You should
get about 200 pixels. The angular size of the
object is given by the formula:
Angular
Size = (angular size of window) x (measured size
of object) / (measured size of window)
So,
the angular size of object 7 is: 7 x 200 / 420 =
3.33 arcminutes, or (multiplying by 60) 200
arcseconds.You may have been able to
estimate this by noticing that the object takes up a
little less than half the window, which means it has
to be a little less than 3.5 arcminutes in size.
Now remember that to convert the angular size
from arcseconds to
radians, divide by 206,000. So the angular
size is about 1e-3 radians.
The distance to Object 7 is given in the table
as 4000 pc. Plugging the angular size and
the distance into the parallax equation, we get
an actual size of 4.0 pc.
In
summary, find the angular size in arcminutes,
convert it to arcseconds, then to radians, and then multiply by the
distance to get the actual size.
The question sheet will ask you to compare the sizes of the different objects.
If you get a message that the NASA server is too busy, keep trying. If, after 5 minutes, you still cannot get through,
CLICK HERE for an alternate way of getting the images.