Benutzeranleitung / Produktwartung CBR 2 des Produzenten Texas Instruments
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Getting Started with the CBR 2 ™ Sonic Motion Detector.
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© 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 Getti.
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™) s.
©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.
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 de.
© 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.
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.
© 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.
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.
© 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.
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 .
© 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.
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.
© 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.
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.
© 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.
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.
© 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.
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.
© 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.
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.
© 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 ).
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.
© 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.
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.
© 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.
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.
© 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.
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.
© 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.
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.
© 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.
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.
© 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 physi.
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.
© 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).
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 .
© 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.
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™ Sy.
© 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.
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™ .
© 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.
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.
© 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.
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 defect.
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