Activity Detail

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Tic, Toc: Pendulum Motion
 


Activity Overview

In this activity, students' will use a motion detector to plot the position versus time graph for a swinging pendulum. They will determine the period of the motion and model the position data using a cosine function.

Before the Activity

  • Connect the motion detector to the DIG/SONIC port of the CBL 2™ or DIG/SONIC 1 port of the Vernier LabPro®
  • Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 247 - 252 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:
  • Hang the pendulum bob from about 80 cm of string from a rigid support
  • Position the motion detector about 1 m away from the bob, pointing at the bob
  • Measure and record the distance from the bob to the motion detector; this distance must be at least 75 cm
  • Pull back the bob not more than 20 cm before releasing it
  • Measure the period of the pendulum and record it in the Data sheet
  • Swing the bob away from the motion detector and observe the distance versus time graph
  • Compare the data to the cosine model
  • Determine the period of the pendulum


    After the Activity

    Students' will analyze data and complete the Data Collection and Analysis Sheet. They will also answer questions listed in it.

    Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary


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    Subject Area:
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™, TI-83 Plus Family, TI-84 Plus Family

    Apps:
    DataMate, EasyData™

    Software:
    TI Connect™

    Accessories:
    CBL™/CBL 2™, Sensor - Motion Detector, TI Connectivity Cable, Unit-to-Unit link cables, Vernier LabPro®

    Other:
    This is Activity 25 from the EXPLORATIONS Book:
    Real-World Math Made Easy.

    The following materials are required for this activity :

  • Pendulum bob
  • Meter stick
  • String
  • Stopwatch


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