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Copy of Copy of Chapter 6 Math project
Transcript of Copy of Copy of Chapter 6 Math project
Thread or thin string (35 cm)
Coins (3 pennies)
2 Medium binder clips
Stopwatch Activity 3 By: Helena Miller The formula L= 980t^2/4(3.14)^2 represents the length L (in centimeters) of a simple
pendulum with a period of t seconds. (In this formula, the acceleration due to gravity is given as 980 cm/s^2.)
Solve for t. According to the formula, how does changing the weight of the bob affect the period of a pendulum?
Use the formula to find the theoretical period for each pendulum. Record your experimental and theoretical periods for each
Do your experimental results give the same period as the theretical models? What factors do you think would account for any differences? Explain your observations. Activity 2
Experiment: 1By: Lu'Chang Valdez "Tie the free end of the string of the pendulum to a stable object. Do this in such a
way that neither the string nor the bob touch another object when the pendulum
is swung. Insert one coin in the binder clip. Measure the length of the string (in
centimeters) from the point where it is attached to the stable object to the center
of the bob. Record this length. Th ree times, pull the pendulum back to an angle
of about 20° and let it go. For each trial, use a stopwatch to record the number of
seconds it takes for the pendulum to complete 10 full swings. Record each time
in the first column of the table provided on the next page. Next, find and record
the average of the three times you listed. Finally, divide the average time by 10 to
determine the period of the pendulum. Repeat the procedure using two coins, then
using three coins, recording the data in the second and third columns, respectively.
Does it appear that the weight of the bob affected the period of the pendulum?
What factors other than the weight might affect the period of the pendulum?" Activity 2
Experiment 2 By: Lu'Chang Valdez Cut a second string that is half the length of the original string. Repeat Experiment 1. Record data in a table. Does it appear that the pendulum string length affects its period? Explain. By: Lu'Chang, Juan Carlos Sautie, & Gabriella Martinez Materials & Activity 1 Chapter 6 Project: Swing time Activity 1
By: Lu'Chang Valdez "To construct a simple pendulum, tie a medium binder clip to the end of a piece of
string. Th e binder clip will be used to hold one or more coins for the experiments
in Activity 2. Th e weight on the end of the string, which includes the binder clip
and the coin(s) it holds, is called the pendulum bob. Th e period of a pendulum is
the time it takes for the pendulum to complete one full swing (back and forth). The length of our string was 14 in or 35.6 cm. In our chart/observations, we concluded that the more coins or weight that you add to the binder clip, it will not affect the time. One factor that did affect the period of the pendulum is the length of the string. Activity 3 Extending the Project Extending the Project
By Juan Carlos How a Pendulum Works:
A pendulum is made up of a string or solid rod with a weight attached to the end. Pendulums are designed in such a way that once they are moved, they will continue to swing for a long period of time. Gravity is the force that keeps the pendulum moving. Pendulums are often used in clocks because it takes the same amount of time for it to swing in one direction as it does for it to swing in the other direction. The amount of time it takes for a pendulum to swing from one side to the other and back again is called a “period.” A pendulum whose period is 4 seconds takes 2 seconds to swing to the left and 2 seconds to swing back to the right.