Chapter 10 - NCPN

3 Hold a protractor upside down so that the 0° vertex is aligned
with the top of the pendulum. Holding the string taut, pull
the weight to one side so that you form a 30° angle with the
string and its vertical resting position. Work with a partner
to time how long it takes the pendulum to swing through
10 complete cycles. sample answer: 12.5 s
4 Time the pendulum as it swings. Find the average amount of
time it takes to complete one full cycle. The average time of
one full cycle is the period for the function.
sample answer: 1.25 s
5 How far from its resting position is the weight at its extremes
Calculate the arc length of the pendulum along its swing path.
In terms of a periodic function, what is this distance
sample answer: The amplitude is about 7.85 inches.
6 Write a trigonometric function to describe the distance of the
pendulum from its original resting position t seconds after it
is released. sample answer: y = 785 . cos
8πt
7 Graph the function over a domain that includes 3 full cycles.
see margin
8 Experiment with different lengths of string for the pendulum.
Compare the period of your pendulum with those of your
classmates. How does changing the length of the string
affect the period of the pendulum How does it affect
the amplitude see margin
9 Experiment with different pendulum weights for a fixed length
of string. For example, tie a second weight or a heavier weight
to the end of your string. How does changing the weight of
the pendulum seem to affect the period of the pendulum
How does it affect the amplitude see margin
5
Math Labs 495