Go outside and, using your star chart, find a star that lies near the
celestial equator (the celestial equator is the imaginary line that
runs around the sky 90 down from the north star). Whichever star
you decide to use, be sure to record its name. Now find a place from
which to make your observations. This place should be located so that
your star appears to be balancing on some structure, like a building,
a telephone pole, or electric power lines. Make sure that this
structure is rigid, not something flimsy like a tree or a branch,
which can be blown about by the wind. Also make sure that this
structure is far enough away that your star still appears to balance
on it if you take a small step to the left or right. We'll call this
structure your ``reference point''. Make sure that your spot is one
that you will be able to relocate accurately about a week later. It
would be ideal if you could mark your spot with a stone and not have
it be moved.
When you have your star balancing on your reference point, record the date and time (to the nearest minute). Come back to your spot an hour later (exactly where you were before) and relocate your star. Measure how many degrees it has moved from its original position on your reference point. Record this result, along with the time to the nearest minute.
The angular velocity of the star in the sky during your observation is:
Calculate w in units of degrees/minute. Now that you have the angular velocity of stars in the sky, calculate how long it would take for a star to travel 360 degrees, or all the way around the sky.
Since the star is ``moving'' because of the earth's rotation, this period is the amount of time it takes for the earth to spin once.