Model No. PS-2138
Experiment
11
!
Analysis
1)
Look at the graph of
Angle vs. Time
. According to the graph, what
angle
in radians
did you trace out on the board?
Arc Angle =
2)
When measured in radians, the arc angle (
θ
) is the ratio of the arc
length (
s
) to radius (
r
). In this case
r
is the distance from your elbow to
the pen.
θ
=
s
⁄
r
According to this theoretical relationship, and your measured values of
θ
and
r
, how far did your hand travel?
s
=
(theoretical)
3)
Measure the length of the arc that you drew and record it below. (Tape a
piece of string to the board exactly over the arc. Mark the endpoints of
the arc on the string, then un-tape the string, lay it straight on a table,
and measure the distance between the marks.)
s
=
(actual)
4)
How does the theoretical value of
s
compare to the actual distance that
your hand traveled?
