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Texas Instruments CBR 2 manual

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Table of contents for the manual

  • Page 1

    Getting Started with the CBR 2 ™ Sonic Motion Detector[...]

  • Page 2

    Important notice regarding book materials Texas Instruments and any third party contributors make no warranty, either express or imp lied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials avai lable solely on an “as-i s”[...]

  • Page 3

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 1 T able of Contents Introduction What is the CBR 2™ Sonic Motion Detector? 2 Getting started with the CBR 2™ Sonic Motion Detector 4 Hints for effective data collection 6 Activities with teacher notes and student activity sheets ?[...]

  • Page 4

    2 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED What is the CBR 2™ Sonic Motion Detector? CBR 2™ (Calculator-Based Ranger™) sonic motion detector use with TI-83 Plus, TI-83 Plus Silver Edition,TI-84 Plus, TI-84 Plus Silver Edition TI-92 Plus, TI-89, TI-89 Titanium, and Voyag[...]

  • Page 5

    ©1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 3 What is the CBR 2™ Sonic Motion Detector? (cont.) The CBR 2™ motion detector includes everything you need to begin classroom activities easily and quickly — just add TI graphing calculators (and readily available props for some [...]

  • Page 6

    4 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED Getting started with the CBR 2™ Sonic Motion Detector With the CBR 2™ motion detector, you’re just two or three simple steps from the first data sample! Download For TI-83 and TI-84 family calculator users: Your graphing calcul[...]

  • Page 7

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 5 Run For TI-83 and TI-84 family calculator users: Run the EasyData App on the graphing calculator connected to the CBR 2™ motion detector. Proceed to step 1, if using a TI-83 Pl us-family calculator. For the TI-84 Plus connected wit[...]

  • Page 8

    6 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED Hints for effective data collection Getting better samples How does the CBR 2™ sonic motion detector work? Understanding how a sonic motion detector work s can help you get better data plots. The motion detector sends out an ultras[...]

  • Page 9

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 7 Hints for effective data collection (cont.) The clear zone The path of the CBR 2™ motion detector beam is not a narrow, pencil-like beam, but fans out in all directions up to 15° from center in a 30° cone-shaped beam. To avoid in[...]

  • Page 10

    8 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED Hints for effective data collection (cont.) EasyData settings (for TI-83, TI-83 Plus, TI-84, and TI-84 Plus users only) Setup data collection for Time Graph Experiment length is the total time in seconds to complete all sampling. It?[...]

  • Page 11

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 9 Hints for effective data collection (cont.) Speed of sound The approximate distance to the object is calc ulated by assuming a nominal speed of sound. However, actual speed of sound varies with several factors, most notably the air t[...]

  • Page 12

    10 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2000 V ERNIER S OFTWARE & T ECHNOLOGY Activity 1—Gr aphing Y our Motion Notes for T eachers Concepts Function explored: linear Materials Ÿ calculator (see page 2 for available models) Ÿ CBR 2™ motion detector Ÿ unit-to-CBR 2™ or I/O unit-to-unit cable Ÿ EasyData applic[...]

  • Page 13

    © 2000 V ERNIER S OFTWARE & T ECHNOLOGY G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 11 Activity 1—Gr aphing Y our Motion Linear Graphs made using a CBR 2™ motion detector can be used to study motion. In this experiment, you will use a CBR 2™ motion detector to make graphs of your own motion. Objectives In this experiment[...]

  • Page 14

    12 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2000 V ERNIER S OFTWARE & T ECHNOLOGY Activity 1—Gr aphing Y our Motion (cont.) Linear Î To set up the calculator for data collection using EasyData: TI-83/84 Family users a. Select Setup (press p ) to open the Setup menu. b. Press 2 to select 2: Time Graph to open the Time G[...]

  • Page 15

    © 2000 V ERNIER S OFTWARE & T ECHNOLOGY G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 13 Activity 1—Gr aphing Y our Motion (cont.) Linear e. Sketch your graph on the empty graph provided. f. Pick two points on the graph and determine the slope from the x and y-coordinates. Point 1:________ Point 2: ________ Slope:___________ g[...]

  • Page 16

    14 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2004 T EXAS I NSTRUMENTS I NCORPORATED Activity 2—Match the Gr aph Notes for T eachers Concepts Function explored: linear Distance Match introduces the real-world concepts of distance and time—or more precisely, the concept of distance versus time. In Explorations, students are [...]

  • Page 17

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 15 Activity 2—Match the Gr aph Linear Data collection Ê Hold the CBR 2™ motion detector in one hand, and the calculator in the other. Aim the sensor directly at a wall. Hints: The maximum distance of any graph is 6 meters (about 2[...]

  • Page 18

    16 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Activity 2—Match the Gr aph (cont.) Linear Ï Position yourself where you think the graph begins. Select Start (press p ) to begin data collection. You can hear a clicking sound and see the green light as the data is collected. ?[...]

  • Page 19

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 17 Activity 2—Match the Graph Name ___________________________________ Data collection 1. What physical property is repr esented along the x-axis? _____________________________________ What are the units? How far apart are the tick m[...]

  • Page 20

    18 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2000 V ERNIER S OFTWARE & T ECHNOLOGY Activity 3—A Speedy Slide Notes for T eachers Concepts Function explored: parabolic The motion of sliding down a playground slide is used to illustrate the real-world concept of changing velocity due to friction. Materials Ÿ calculator (s[...]

  • Page 21

    © 2000 V ERNIER S OFTWARE & T ECHNOLOGY G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 19 Activity 3—A Speedy Slide P arabolic You have been familiar with playgrounds and slides since you were a small child. The force of gravity pulls you down a slide. The force of friction slows you down. In the first part of this experiment, [...]

  • Page 22

    20 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2000 V ERNIER S OFTWARE & T ECHNOLOGY Activity 3—A Speedy Slide (cont.) P arabolic c. Select Edit (press q ) to open the Sample Interval dialog window. d. Enter 0.2 to set the time between samples in seconds. e. Select Next (press q ) to advance to the Number of Samples dialog[...]

  • Page 23

    © 2000 V ERNIER S OFTWARE & T ECHNOLOGY G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 21 Activity 3—A Speedy Slide (cont.) P arabolic Ð Determine the slider’s speed. a. After data collection stops and a graph of distance versus time is displayed, select Plots (press p ). b. Press 2 to select 2: Vel vs Time to display veloci[...]

  • Page 24

    22 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2000 V ERNIER S OFTWARE & T ECHNOLOGY Activity 3—A Speedy Slide Name __________________________________ Data collection, Part 2, A Speedier Slide 1. Design a plan to increase the slider’s speed. a. Try out some ideas for increasing the slider’s speed. You may not coat the [...]

  • Page 25

    © 2000 V ERNIER S OFTWARE & T ECHNOLOGY G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 23 Activity 3—A Speedy Slide (cont.) 4 . Which of the methods worked best? Explain why it worked best. 5. If you could increase the height of the slid e, how would the slider’s speed be affected? 6. If a stone was dropped from the top of th[...]

  • Page 26

    24 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 2004 T EXAS I NSTRUMENTS I NCO RPORATED Activity 4—Bouncing Ball Notes for T eachers Concepts Function explored: parabolic Real-world concepts such as free-falling and bouncing objects, gravity, and constant acceleration are examples of parabolic functions. This activity investiga[...]

  • Page 27

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 25 Activity 4—Bouncing Ball P arabolic Data collection Ê Begin with a test bounce. Drop the ball (do not throw it). Hints: Position the CBR 2™ motion detector at least 0.5 meters (about 1.5 feet) above the height of the highest bo[...]

  • Page 28

    26 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Activity 4—Bouncing Ball (cont.) P arabolic Explorations The Distance-Time plot of the bounce forms a parabola. Ê The plot is in Trace mode. Press ~ to determine the vertex of the first good bounce—a nice shape without lots of[...]

  • Page 29

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 27 Activity 4—Bouncing Ball Name ___________________________________ Data collection 1. What physical property is repr esented along the x-axis? _____________________________________ What are th e units? _____________________________[...]

  • Page 30

    28 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Activity 5—Rolling Ball Notes for T eachers Concepts Function explored: parabolic Plotting a ball rolling down a ramp of varying inclines creates a family of curves, which can be modeled by a series of quadratic equations. This a[...]

  • Page 31

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 29 Activity 5—Rolling Ball P arabolic Data collection Ê Answer question 1 on the activity sheet . Use the protractor to set the ramp at a 15° incline. Lay the CBR 2™ motion detector on the ramp and flip the sensor head so it is p[...]

  • Page 32

    30 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Activity 5—Rolling Ball (cont.) P arabolic g. Select Next (press q ) to display a summary of the new settings. h. Select OK (press s ) to return to the main screen. Í When the settings are correct, choose Start (press q ) to beg[...]

  • Page 33

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 31 Activity 5—Rolling Ball Name ___________________________________ Data collection 1. Which of these plots do you think best matches the Distance-Time plot of a ball rolling down a ramp? 2. What physical property is repr esented alo[...]

  • Page 34

    32 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED T eacher Information How might your classes change with a CBR 2™ sonic motion detector? The CBR 2™ motion detector is an easy-to-use system with features that help you integrate it into your lesson plans quickly and easily. The[...]

  • Page 35

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 33 T eacher Information (cont.) CBR 2™ motion detector plots—connecting the physical world and mathematics The plots created from the data collected by EasyData or RANGER are a visual representation of the relationships between the[...]

  • Page 36

    34 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED T eacher Information (cont.) A typical CBR 2™ motion detector Velocity-Time plot actually represents speed, not velocity. Only the magnitude (which can be posit ive, negative, or zero) is given. Direction is only implied. A posit[...]

  • Page 37

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 35 T eacher Information (cont.) The area under the Velocity-Time plot from t 1 to t 2 = @ d = ( d 2 N d 1 ) = displacement from t 1 to t 2 (net distance traveled). So, @ d = ( ∑ t=1 t=2 v( @ t) ) or @ d = ⌡ ⌠ t=1 t=2 v(dt) Accele[...]

  • Page 38

    36 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Sonic motion detector data is stor ed in lists Collected data is stored in lists L1, L6, L7, and L8 in EasyData When the CBR 2™ motion detector collects data, it automatically transfers it to the calculator and stores the data in[...]

  • Page 39

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 37 EasyData Settings (TI-83 and TI-84 F amily Calculators) Changing EasyData settings EasyData displays the most commonly used settings before data collection begins. Ê From the main screen in the EasyData App, choose Setup > 1: Di[...]

  • Page 40

    38 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Using a CBR 2™ Sonic Motion Detector with a CBL 2™ System or with CBL 2™ System Pr ogr ams Using a CBR 2™ sonic motion detector as a conventional motion detector with a CBL 2™ System The CBR™ motion detector can be used[...]

  • Page 41

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 39 Using a CBR 2™ Sonic Motion Detector with a CBL 2™ System or with CBL 2™ System Pr ogr ams (cont.) Î DataMate automatically identifies the CBL 2™ sensors, loads its calibration factors, and displays the name of the sensor ([...]

  • Page 42

    40 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Batteries Battery type CBR 2™ motion detector is designed to operate with 4 AA alkaline batteries. CBR 2™ motion detector can run without batteries only if attached to a CBL 2™ . Battery installation Exit the EasyData applica[...]

  • Page 43

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 41 In case of difficulty If you have this problem: Try this: Difficulty collecting data Check for a poor calculator-to- CBR 2™ motion detector connection. Always push in firmly on both ends of the cable. Check for low batteries (see [...]

  • Page 44

    42 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED EasyData Menu Map (TI-83 and TI-84 F amily Calculators) Each screen displays one or more options along the bottom of the screen. To select an option, press the graphing key directly below the option. To navigate the menus as indica[...]

  • Page 45

    © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCORPORATED G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR 43 TI Service and W a rr anty For US Customers Only For general information Home Page: education.ti.com KnowledgeBase and E-mail Inquiries: education.ti.com/support Phone: (800) TI-CARES; (800) 842- 2737 For U.S., Canada, Mexico, Puert[...]

  • Page 46

    44 G ETTING S TARTED WITH THE CBR 2™ S ONIC M OTION D ETECTOR © 1997, 2004, 2006 T EXAS I NSTRUMENTS I NCO RPORATED Warranty Performance. During the above one (1) year wa rranty period, your defective product will be either re paired or replaced with a reconditi oned model of an equivale nt quality (at TI’s option) when the pr oduct is returne[...]